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0704.3401
Dieter Bauer
M. Kundu, S.V. Popruzhenko, D. Bauer
Harmonic Generation from Laser-Irradiated Clusters
4 pages, ReVTeX4
null
10.1103/PhysRevA.76.033201
null
physics.plasm-ph physics.optics
null
The harmonic emission from cluster nanoplasmas subject to short, intense infrared laser pulses is analyzed by means of particle-in-cell simulations. A pronounced resonant enhancement of the low-order harmonic yields is found when the Mie plasma frequency of the ionizing and expanding cluster resonates with the respective harmonic frequency. We show that a strong, nonlinear resonant coupling of the cluster electrons with the laser field inhibits coherent electron motion, suppressing the emitted radiation and restricting the spectrum to only low-order harmonics. A pump-probe scheme is suggested to monitor the ionization dynamics of the expanding clusters.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 16:08:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Kundu", "M.", "" ], [ "Popruzhenko", "S. V.", "" ], [ "Bauer", "D.", "" ] ]
0704.3402
Pedro Coronel
Pedro Coronel and Helmut B\"olcskei
Diversity-Multiplexing Tradeoff in Selective-Fading MIMO Channels
To be presented at IEEE Int. Symp. Inf. Theory 2007, Nice, France
null
null
null
cs.IT math.IT
null
We establish the optimal diversity-multiplexing (DM) tradeoff of coherent time, frequency and time-frequency selective-fading MIMO channels and provide a code design criterion for DM-tradeoff optimality. Our results are based on the analysis of the "Jensen channel" associated to a given selective-fading MIMO channel. While the original problem seems analytically intractable due to the mutual information being a sum of correlated random variables, the Jensen channel is equivalent to the original channel in the sense of the DM-tradeoff and lends itself nicely to analytical treatment. Finally, as a consequence of our results, we find that the classical rank criterion for space-time code design (in selective-fading MIMO channels) ensures optimality in the sense of the DM-tradeoff.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 16:09:06 GMT" } ]
2007-07-13T00:00:00
[ [ "Coronel", "Pedro", "" ], [ "Bölcskei", "Helmut", "" ] ]
0704.3403
Chun Hay Kom
J. P. Conlon, C. H. Kom, K. Suruliz, B. C. Allanach, F. Quevedo
Sparticle Spectra and LHC Signatures for Large Volume String Compactifications
42 pages, 21 figures. Added references and discussion for section 3. Slight changes in the text
JHEP 0708:061,2007
10.1088/1126-6708/2007/08/061
DAMTP-2007-33
hep-ph hep-th
null
We study the supersymmetric particle spectra and LHC collider observables for the large-volume string models with a fundamental scale of 10^{11} GeV that arise in moduli-fixed string compactifications with branes and fluxes. The presence of magnetic fluxes on the brane world volume, required for chirality, perturb the soft terms away from those previously computed in the dilute-flux limit. We use the difference in high-scale gauge couplings to estimate the magnitude of this perturbation and study the potential effects of the magnetic fluxes by generating many random spectra with the soft terms perturbed around the dilute flux limit. Even with a 40% variation in the high-scale soft terms the low-energy spectra take a clear and predictive form. The resulting spectra are broadly similar to those arising on the SPS1a slope, but more degenerate. In their minimal version the models predict the ratios of gaugino masses to be M_1 : M_2 : M_3=(1.5 - 2) : 2 : 6, different to both mSUGRA and mirage mediation. Among the scalars, the squarks tend to be lighter and the sleptons heavier than for comparable mSUGRA models. We generate 10 fb^{-1} of sample LHC data for the random spectra in order to study the range of collider phenomenology that can occur. We perform a detailed mass reconstruction on one example large-volume string model spectrum. 100 fb^{-1} of integrated luminosity is sufficient to discriminate the model from mSUGRA and aspects of the sparticle spectrum can be accurately reconstructed.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 16:25:10 GMT" }, { "version": "v2", "created": "Tue, 15 May 2007 21:38:12 GMT" }, { "version": "v3", "created": "Sat, 16 Jun 2007 02:29:09 GMT" }, { "version": "v4", "created": "Sat, 4 Aug 2007 10:12:50 GMT" } ]
2009-01-06T00:00:00
[ [ "Conlon", "J. P.", "" ], [ "Kom", "C. H.", "" ], [ "Suruliz", "K.", "" ], [ "Allanach", "B. C.", "" ], [ "Quevedo", "F.", "" ] ]
0704.3404
Agissilaos Athanassoulis
Agissilaos G. Athanassoulis
Smoothed Wigner transforms in the numerical simulation of semiclassical (high-frequency) wave propagation
null
Dynamics of Continuous, Discrete and Impulsive Systems Series A, S2, 2007
null
null
math.AP math.NA
null
The numerical simulation of wave propagation in semiclassical (high-frequency) problems is well known to pose a formidable challenge. In this work, a new phase-space approach for the numerical simulation of semiclassical wave propagation, making use of the smoothed Wigner Transform (SWT), is proposed. There are numerous works which use the Wigner Transform (WT) in the study of a variety of wave propagation problems including high-frequency limits for linear, nonlinear and/or random waves. The WT however is well known to present significant difficulties in the formulation of numerical schemes. Working with concrete examples for the semiclassical linear Schrodinger equation it is seen that the SWT approach is indeed significantly faster (in a well-defined sense) to work with than the WT and than full numerical solutions of the original equation in the semiclassical regime. Comparisons with exact and numerical solutions are used to keep track of numerical errors.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 16:21:28 GMT" } ]
2008-10-30T00:00:00
[ [ "Athanassoulis", "Agissilaos G.", "" ] ]
0704.3405
Shuguang Cui
Shuguang Cui and Jinjun Xiao and Andrea Goldsmith and Zhi-Quan Luo and H. Vincent Poor
Estimation Diversity and Energy Efficiency in Distributed Sensing
To appear at IEEE Transactions on Signal Processing
null
10.1109/TSP.2007.896019
null
cs.IT math.IT
null
Distributed estimation based on measurements from multiple wireless sensors is investigated. It is assumed that a group of sensors observe the same quantity in independent additive observation noises with possibly different variances. The observations are transmitted using amplify-and-forward (analog) transmissions over non-ideal fading wireless channels from the sensors to a fusion center, where they are combined to generate an estimate of the observed quantity. Assuming that the Best Linear Unbiased Estimator (BLUE) is used by the fusion center, the equal-power transmission strategy is first discussed, where the system performance is analyzed by introducing the concept of estimation outage and estimation diversity, and it is shown that there is an achievable diversity gain on the order of the number of sensors. The optimal power allocation strategies are then considered for two cases: minimum distortion under power constraints; and minimum power under distortion constraints. In the first case, it is shown that by turning off bad sensors, i.e., sensors with bad channels and bad observation quality, adaptive power gain can be achieved without sacrificing diversity gain. Here, the adaptive power gain is similar to the array gain achieved in Multiple-Input Single-Output (MISO) multi-antenna systems when channel conditions are known to the transmitter. In the second case, the sum power is minimized under zero-outage estimation distortion constraint, and some related energy efficiency issues in sensor networks are discussed.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 16:30:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Cui", "Shuguang", "" ], [ "Xiao", "Jinjun", "" ], [ "Goldsmith", "Andrea", "" ], [ "Luo", "Zhi-Quan", "" ], [ "Poor", "H. Vincent", "" ] ]
0704.3406
Martin Weigt
Hamed Mahmoudi, Andrea Pagnani, Martin Weigt, Riccardo Zecchina
Propagation of external regulation and asynchronous dynamics in random Boolean networks
19 pages, 14 figures, to appear in Chaos
Chaos 17, 026109 (2007)
10.1063/1.2742931
null
cond-mat.stat-mech cond-mat.dis-nn q-bio.MN
null
Boolean Networks and their dynamics are of great interest as abstract modeling schemes in various disciplines, ranging from biology to computer science. Whereas parallel update schemes have been studied extensively in past years, the level of understanding of asynchronous updates schemes is still very poor. In this paper we study the propagation of external information given by regulatory input variables into a random Boolean network. We compute both analytically and numerically the time evolution and the asymptotic behavior of this propagation of external regulation (PER). In particular, this allows us to identify variables which are completely determined by this external information. All those variables in the network which are not directly fixed by PER form a core which contains in particular all non-trivial feedback loops. We design a message-passing approach allowing to characterize the statistical properties of these cores in dependence of the Boolean network and the external condition. At the end we establish a link between PER dynamics and the full random asynchronous dynamics of a Boolean network.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 16:35:14 GMT" } ]
2007-07-19T00:00:00
[ [ "Mahmoudi", "Hamed", "" ], [ "Pagnani", "Andrea", "" ], [ "Weigt", "Martin", "" ], [ "Zecchina", "Riccardo", "" ] ]
0704.3407
Solange Odile Saliu
C. Bizdadea, E. M. Cioroianu, I. Negru, S. O. Saliu, S. C. Sararu
On the generalized Freedman-Townsend model
LaTeX, 62 pages
JHEP0610:004,2006
10.1088/1126-6708/2006/10/004
null
hep-th
null
Consistent interactions that can be added to a free, Abelian gauge theory comprising a finite collection of BF models and a finite set of two-form gauge fields (with the Lagrangian action written in first-order form as a sum of Abelian Freedman-Townsend models) are constructed from the deformation of the solution to the master equation based on specific cohomological techniques. Under the hypotheses of smoothness in the coupling constant, locality, Lorentz covariance, and Poincare invariance of the interactions, supplemented with the requirement on the preservation of the number of derivatives on each field with respect to the free theory, we obtain that the deformation procedure modifies the Lagrangian action, the gauge transformations as well as the accompanying algebra. The interacting Lagrangian action contains a generalized version of non-Abelian Freedman-Townsend model. The consistency of interactions to all orders in the coupling constant unfolds certain equations, which are shown to have solutions.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 16:38:09 GMT" } ]
2008-11-26T00:00:00
[ [ "Bizdadea", "C.", "" ], [ "Cioroianu", "E. M.", "" ], [ "Negru", "I.", "" ], [ "Saliu", "S. O.", "" ], [ "Sararu", "S. C.", "" ] ]
0704.3408
Sinan Gezici Dr
Sinan Gezici, Andreas F. Molisch, H. Vincent Poor, and Hisashi Kobayashi
The Trade-off between Processing Gains of an Impulse Radio UWB System in the Presence of Timing Jitter
To appear in the IEEE Transactions on Communications
null
null
null
cs.IT math.IT
null
In time hopping impulse radio, $N_f$ pulses of duration $T_c$ are transmitted for each information symbol. This gives rise to two types of processing gain: (i) pulse combining gain, which is a factor $N_f$, and (ii) pulse spreading gain, which is $N_c=T_f/T_c$, where $T_f$ is the mean interval between two subsequent pulses. This paper investigates the trade-off between these two types of processing gain in the presence of timing jitter. First, an additive white Gaussian noise (AWGN) channel is considered and approximate closed form expressions for bit error probability are derived for impulse radio systems with and without pulse-based polarity randomization. Both symbol-synchronous and chip-synchronous scenarios are considered. The effects of multiple-access interference and timing jitter on the selection of optimal system parameters are explained through theoretical analysis. Finally, a multipath scenario is considered and the trade-off between processing gains of a synchronous impulse radio system with pulse-based polarity randomization is analyzed. The effects of the timing jitter, multiple-access interference and inter-frame interference are investigated. Simulation studies support the theoretical results.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 16:47:35 GMT" } ]
2007-07-13T00:00:00
[ [ "Gezici", "Sinan", "" ], [ "Molisch", "Andreas F.", "" ], [ "Poor", "H. Vincent", "" ], [ "Kobayashi", "Hisashi", "" ] ]
0704.3409
Cyrille Marquet
C. Marquet and C. Royon
Azimuthal decorrelation of Mueller-Navelet jets at the Tevatron and the LHC
11 pages, 7 figures, energy conservation effects added
Phys.Rev.D79:034028,2009
10.1103/PhysRevD.79.034028
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the production of Mueller-Navelet jets at hadron colliders in the Balitsky-Fadin-Kuraev-Lipatov (BFKL) framework. We show that a measurement of the relative azimuthal angle \Delta\Phi between the jets can provide a good testing ground for corrections due to next-leading logarithms (NLL). Besides the well-known azimuthal decorrelation with increasing rapidity interval \Delta\eta between the jets, we propose to also measure this effect as a function of R=k_2/k_1, the ratio between the jets transverse momenta. Using renormalisation-group improved NLL kernel, we obtain predictions for d\sigma/d\Delta\eta dR d\Delta\Phi. We analyse NLL-scheme and renormalisation-scale uncertainties, and energy-momentum conservation effects, in order to motivate a measurement at the Tevatron and the LHC.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 16:59:26 GMT" }, { "version": "v2", "created": "Wed, 5 Nov 2008 22:36:03 GMT" } ]
2009-03-12T00:00:00
[ [ "Marquet", "C.", "" ], [ "Royon", "C.", "" ] ]
0704.3410
C. Douglas Haessig
C. Douglas Haessig
On the $p$-adic meromorphy of the function field height zeta function
5 pages. Comments welcome
null
null
null
math.NT math.AG
null
In this brief note, we will investigate the number of points of bounded (twisted) height in a projective variety defined over a function field, where the function field comes from a projective variety of dimension greater than or equal to 2. A first step in this investigation is to understand the $p$-adic analytic properties of the height zeta function. In particular, we will show that for a large class of projective varieties this function is $p$-adic meromorphic.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 17:03:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Haessig", "C. Douglas", "" ] ]
0704.3411
Alexander Felshtyn
Collin Bleak, Alexander Fel'shtyn and Daciberg L. Gon\c{c}alves
Twisted conjugacy classes in R. Thompson's group F
10 pages
null
null
null
math.GR math.AT
null
In this short article, we prove that any automorphism of the R. Thompson's group $F$ has infinitely many twisted conjugacy classes. The result follows from the work of Matthew Brin, together with a standard facts on R. Thompson's group $F$, and elementary properties of the Reidemeister numbers.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 17:06:27 GMT" }, { "version": "v2", "created": "Sat, 5 May 2007 18:53:23 GMT" } ]
2007-05-23T00:00:00
[ [ "Bleak", "Collin", "" ], [ "Fel'shtyn", "Alexander", "" ], [ "Gonçalves", "Daciberg L.", "" ] ]
0704.3412
Vladimir Berezovsky
V.V.Berezovsky, L.I.Men'shikov, S.Oberg and C.D.Latham
The effect of dipole-dipole interactions between atoms in an active medium
8 pages, 7 figures
null
10.1364/JOSAB.25.000458
null
cond-mat.str-el cond-mat.other
null
Based on the results of numerical modeling, it is shown that dipole-dipole interactions among atoms in the active medium influences strongly the character of the associated superradiation. The main effect is to make the nuclear subsystem behave chaotically. Its strength increases with the atom density, and leads to the suppression of distant collective correlations and superradiation. Near correlations between the atoms are established, causing a confinement effect: a shielding of radiation in the active medium.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 17:15:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Berezovsky", "V. V.", "" ], [ "Men'shikov", "L. I.", "" ], [ "Oberg", "S.", "" ], [ "Latham", "C. D.", "" ] ]
0704.3413
Pietro Antonio Grassi
Pietro Fr\'e, Pietro Antonio Grassi
Constrained Supermanifolds for AdS M-Theory Backgrounds
LaTex, 47 pages, no figures
JHEP0801:036,2008
10.1088/1126-6708/2008/01/036
DISTA-2007
hep-th
null
A long standing problem is the supergauge completion of AdS_4 x (G/H)_7 or AdS_5 x (G/H)_5 backgrounds which preserve less then maximal supersymmetry. In parallel with the supersolvable realization of the AdS_4 x S^7 background based on Kappa-symmetry, we develop a technique which amounts to solving the above-mentioned problem in a way useful for pure spinor quantization for supermembranes and superstrings. Instead of gauge fixing some of the superspace coordinates to zero, we impose an additional constraint on them reproducing the simplifications of the supersolvable representations. The constraints are quadratic, homogeneous, Sp(4,R)-covariant, and consistent from the quantum point of view in the pure spinor approach. Here we provide the geometrical solution which, in a subsequent work, will be applied to the membrane and the superstring sigma models.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 17:15:58 GMT" } ]
2008-11-26T00:00:00
[ [ "Fré", "Pietro", "" ], [ "Grassi", "Pietro Antonio", "" ] ]
0704.3414
Burin Gumjudpai
Daris Samart and Burin Gumjudpai (TPTP Naresuan U.)
Phantom field dynamics in loop quantum cosmology
8 pages, 6 figures, Revtex 4, Figures and References added. Version accepted by Physical Review D15
Phys.Rev.D76:043514,2007
10.1103/PhysRevD.76.043514
null
gr-qc astro-ph hep-ph
null
We consider a dynamical system of phantom scalar field under exponential potential in background of loop quantum cosmology. In our analysis, there is neither stable node nor repeller unstable node but only two saddle points, hence no Big Rip singularity. Physical solutions always possess potential energy greater than magnitude of the negative kinetic energy. We found that the universe bounces after accelerating even in the domination of the phantom field. After bouncing, the universe finally enters oscillatory regime.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 17:25:35 GMT" }, { "version": "v2", "created": "Mon, 7 May 2007 08:51:53 GMT" }, { "version": "v3", "created": "Sat, 7 Jul 2007 05:36:51 GMT" } ]
2008-11-26T00:00:00
[ [ "Samart", "Daris", "", "TPTP Naresuan U." ], [ "Gumjudpai", "Burin", "", "TPTP Naresuan U." ] ]
0704.3415
Aurelian Isar
A. Isar
Quantum decoherence in the theory of open systems
6 pages; talk at the 3rd International Workshop "Quantum Physics and Communication" (QPC 2005), Dubna, Russia, 2005
Phys. Part. Nuclei Lett. 4, 133 (2007)
10.1134/S1547477107020070
null
quant-ph
null
In the framework of the Lindblad theory for open quantum systems, we determine the degree of quantum decoherence of a harmonic oscillator interacting with a thermal bath. It is found that the system manifests a quantum decoherence which is more and more significant in time. We calculate also the decoherence time scale and analyze the transition from quantum to classical behaviour of the considered system.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:12:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Isar", "A.", "" ] ]
0704.3416
Roc\'io Blanco
Rocio Blanco
Complexity of Villamayor's algorithm in the non exceptional monomial case
17 pages, to appear in International Journal of Mathematics. Corrected format
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study monomial ideals, always locally given by a monomial, like a reasonable first step to estimate in general the number of monoidal transformations of Villamayor's algorithm of resolution of singularities. The resolution of a monomial ideal $<X_1^{a_1}\cdot ... \cdot X_n^{a_n}>$ is interesting due to its identification with the particular toric problem $<Z^c- X_1^{a_1}\cdot ... \cdot X_n^{a_n}>$. In the special case, when all the exponents $a_i$ are greater than or equal to the critical value $c$, we construct the largest branch of the resolution tree which provides an upper bound involving partial sums of Catalan numbers. This case will be called ``minimal codimensional case''. Partial sums of Catalan numbers (starting $1,2,5,...$) are $1,3,8,22,...$ These partial sums are well known in Combinatorics and count the number of paths starting from the root in all ordered trees with $n+1$ edges. Catalan numbers appear in many combinatorial problems, counting the number of ways to insert $n$ pairs of parenthesis in a word of $n+1$ letters, plane trees with $n+1$ vertices, $... $, etc. The non minimal case, when there exists some exponent $a_{i_0}$ smaller than $c$, will be called ``case of higher codimension''. In this case, still unresolved, we give an example to state the foremost troubles. Computation of examples has been helpful in both cases to study the behaviour of the resolution invariant. Computations have been made in Singular (see \cite{sing}) using the \emph{desing} package by G. Bodn\'ar and J. Schicho, see \cite{lib}.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 17:44:10 GMT" }, { "version": "v2", "created": "Wed, 4 Jul 2007 15:56:05 GMT" }, { "version": "v3", "created": "Fri, 23 May 2008 10:54:20 GMT" }, { "version": "v4", "created": "Thu, 22 Jan 2009 12:55:06 GMT" } ]
2009-01-22T00:00:00
[ [ "Blanco", "Rocio", "" ] ]
0704.3417
Daniel Juteau
Daniel Juteau
Cohomology of the minimal nilpotent orbit
29 pages, v2 : Leray-Serre spectral sequence replaced by Gysin sequence only, corrected typos
Transformation Groups 13 (2), 355-387 (2008)
10.1007/s00031-008-9009-x
null
math.RT
null
We compute the integral cohomology of the minimal non-trivial nilpotent orbit in a complex simple (or quasi-simple) Lie algebra. We find by a uniform approach that the middle cohomology group is isomorphic to the fundamental group of the sub-root system generated by the long simple roots. The modulo $\ell$ reduction of the Springer correspondent representation involves the sign representation exactly when $\ell$ divides the order of this cohomology group. The primes dividing the torsion of the rest of the cohomology are bad primes.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 17:56:10 GMT" }, { "version": "v2", "created": "Wed, 13 Jun 2007 15:09:41 GMT" } ]
2013-09-24T00:00:00
[ [ "Juteau", "Daniel", "" ] ]
0704.3418
Shannon Patel
Shannon G. Patel (1), Steven S. Vogt (1), Geoffrey W. Marcy (2), John A. Johnson (2), Debra A. Fischer (3), Jason T. Wright (2), R. Paul Butler (4) ((1) UCSC, (2) Berkeley, (3) SFSU, (4) DTM)
Fourteen New Companions from the Keck & Lick Radial Velocity Survey Including Five Brown Dwarf Candidates
29 pages, 14 figures, accepted to ApJ
Astrophys.J.665:744-753,2007
10.1086/519066
null
astro-ph
null
We present radial velocities for 14 stars on the California & Carnegie Planet Search target list that reveal new companions. One star, HD 167665, was fit with a definitive Keplerian orbit leading to a minimum mass for the companion of 50.3 Mjup at a separation from its host of ~5.5 AU. Incomplete or limited phase coverage for the remaining 13 stars prevents us from assigning to them unique orbital parameters. Instead, we fit their radial velocities with Keplerian orbits across a grid of fixed values for Msini and period, P, and use the resulting reduced chi-square surface to place constraints on Msini, P, and semimajor axis, a. This technique allowed us to restrict Msini below the brown dwarf -- stellar mass boundary for an additional 4 companions (HD 150554, HD 8765, HD 72780, HD 74014). If the combined 5 companions are confirmed as brown dwarfs, these results would comprise the first major catch of such objects from our survey beyond ~3 AU.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 18:45:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Patel", "Shannon G.", "", "UCSC" ], [ "Vogt", "Steven S.", "", "UCSC" ], [ "Marcy", "Geoffrey W.", "", "Berkeley" ], [ "Johnson", "John A.", "", "Berkeley" ], [ "Fischer", "Debra A.", "", "SFSU" ], [ "Wright", "Jason T.", "", "Berkeley" ], [ "Butler", "R. Paul", "", "DTM" ] ]
0704.3419
Bengt Eliasson
Bengt Eliasson, Bo Thid\'e
Zakharov simulation study of spectral features of on-demand Langmuir turbulence in an inhomogeneous plasma
7 pages, 8 figures
null
10.1029/2007JA012491
null
physics.space-ph
null
We have performed a simulation study of Langmuir turbulence in the Earth's ionosphere by means of a Zakharov model with parameters relevant for the F layer. The model includes dissipative terms to model collisions and Landau damping of the electrons and ions, and a linear density profile, which models the ionospheric plasma inhomogeneity whose length scale is of the order 10--100 km. The injection of energy into the system is modeled by a constant source term in the Zakharov equation. Langmuir turbulence is excited ``on-demand'' in controlled ionospheric modification experiments where the energy is provided by an HF radio beam injected into the overhead ionospheric plasma. The ensuing turbulence can be studied with radars and in the form of secondary radiation recorded by ground-based receivers. We have analyzed spectral signatures of the turbulence for different sets of parameters and different altitudes relative to the turning point of the linear Langmuir mode where the Langmuir frequency equals the local plasma frequency. By a parametric analysis, we have derived a simple scaling law, which links the spectral width of the turbulent frequency spectrum to the physical parameters in the ionosphere. The scaling law provides a quantitative relation between the physical parameters (temperatures, electron number density, ionospheric length scale, etc.) and the observed frequency spectrum. This law may be useful for interpreting experimental results.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 18:25:58 GMT" }, { "version": "v2", "created": "Sat, 11 Aug 2007 05:18:02 GMT" } ]
2015-05-13T00:00:00
[ [ "Eliasson", "Bengt", "" ], [ "Thidé", "Bo", "" ] ]
0704.3420
Peter Morgan
Peter Morgan
Lie fields revisited
13 pages; to appear in J.Math.Phys
J. Math. Phys. 48, 122302 (2007)
10.1063/1.2825148
null
quant-ph hep-th math-ph math.MP
null
A class of interacting classical random fields is constructed using deformed *-algebras of creation and annihilation operators. The fields constructed are classical random field versions of "Lie fields". A vacuum vector is used to construct linear forms over the algebras, which are conjectured to be states over the algebras. Assuming this conjecture is true, the fields constructed are "quantum random fields" in the sense that they have Poincare invariant vacua with a fluctuation scale determined by Planck's constant. A nonlocal particle interpretation of the formalism is shown to be the same as a particle interpretation of a quantum field theory.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 18:13:06 GMT" }, { "version": "v2", "created": "Tue, 27 Nov 2007 02:24:10 GMT" } ]
2008-10-15T00:00:00
[ [ "Morgan", "Peter", "" ] ]
0704.3421
Lars Winther Christensen
Lars Winther Christensen, Greg Piepmeyer, Janet Striuli, and Ryo Takahashi
Finite Gorenstein representation type implies simple singularity
Final version, to appear in Adv. Math. 14 pp
null
null
null
math.AC math.RT
null
Let R be a commutative noetherian local ring and consider the set of isomorphism classes of indecomposable totally reflexive R-modules. We prove that if this set is finite, then either it has exactly one element, represented by the rank 1 free module, or R is Gorenstein and an isolated singularity (if R is complete, then it is even a simple hypersurface singularity). The crux of our proof is to argue that if the residue field has a totally reflexive cover, then R is Gorenstein or every totally reflexive R-module is free.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 18:26:23 GMT" }, { "version": "v2", "created": "Fri, 22 Feb 2008 17:45:35 GMT" } ]
2008-02-22T00:00:00
[ [ "Christensen", "Lars Winther", "" ], [ "Piepmeyer", "Greg", "" ], [ "Striuli", "Janet", "" ], [ "Takahashi", "Ryo", "" ] ]
0704.3422
Jeff Viaclovsky
Simon Salamon and Jeff Viaclovsky
Orthogonal complex structures on domains in R^4
42 pages. Version 2 contains several improvements and simplifications throughout. Material from the first version on more general branched coverings has been removed in order to make the article more focused, and will appear elsewhere
Final version: Math. Annalen 343, no. 4, 2009, 853-899
null
null
math.DG math.AG math.AP
null
An orthogonal complex structure on a domain in R^4 is a complex structure which is integrable and is compatible with the Euclidean metric. This gives rise to a first order system of partial differential equations which is conformally invariant. We prove two Liouville-type uniqueness theorems for solutions of this system, and use these to give an alternative proof of the classification of compact locally conformally flat Hermitian surfaces first proved by Pontecorvo. We also give a classification of non-degenerate quadrics in CP^3 under the action of the conformal group. Using this classification, we show that generic quadrics give rise to orthogonal complex structures defined on the complement of unknotted solid tori which are smoothly embedded in R^4.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 18:44:41 GMT" }, { "version": "v2", "created": "Tue, 8 Apr 2008 21:08:08 GMT" } ]
2009-08-26T00:00:00
[ [ "Salamon", "Simon", "" ], [ "Viaclovsky", "Jeff", "" ] ]
0704.3423
Cristiano Ciuti
Arnaud Verger (LPA), Iacopo Carusotto (BEC-CNR-INFM), Cristiano Ciuti (MPQ)
Quantum Monte Carlo study of ring-shaped polariton parametric luminescence in a semiconductor microcavity
null
Physical Review B 76 (2007) 115324
10.1103/PhysRevB.76.115324
null
cond-mat.other
null
We present a quantum Monte Carlo study of the quantum correlations in the parametric luminescence from semiconductor microcavities in the strong exciton-photon coupling regime. As already demonstrated in recent experiments, a ring-shaped emission is obtained by applying two identical pump beams with opposite in-plane wavevectors, providing symmetrical signal and idler beams with opposite in-plane wavevectors on the ring. We study the squeezing of the signal-idler difference noise across the parametric instability threshold, accounting for the radiative and non-radiative losses, multiple scattering and static disorder. We compare the results of the complete multimode Monte Carlo simulations with a simplified linearized quantum Langevin analytical model.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 18:54:39 GMT" }, { "version": "v2", "created": "Thu, 19 Jul 2007 14:43:00 GMT" } ]
2015-05-13T00:00:00
[ [ "Verger", "Arnaud", "", "LPA" ], [ "Carusotto", "Iacopo", "", "BEC-CNR-INFM" ], [ "Ciuti", "Cristiano", "", "MPQ" ] ]
0704.3424
Jeremy Carroll
Jeremy J. Carroll
A New Proof of Pappus's Theorem
47 pages, 27 figures (typo corrected)
null
null
null
math.CO math.MG
null
Any stretching of Ringel's non-Pappus pseudoline arrangement when projected into the Euclidean plane, implicitly contains a particular arrangement of nine triangles. This arrangement has a complex constraint involving the sines of its angles. These constraints cannot be satisfied by any projection of the initial arrangement. This is sufficient to prove Pappus's theorem. The derivation of the constraint is via systems of inequalities arising from the polar coordinates of the lines. These systems are linear in r for any given theta, and their solubility can be analysed in terms of the signs of determinants. The evaluation of the determinants is via a normal form for sums of products of sines, giving a powerful system of trigonometric identities. The particular result is generalized to arrangements derived from three edge connected totally cyclic directed graphs, conjectured to be sufficient for a complete analysis of angle constraining arrangements of lines, and thus a full response to Ringel's slope conjecture. These methods are generally applicable to the realizability problem for rank 3 oriented matroids.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:06:58 GMT" }, { "version": "v2", "created": "Wed, 25 Apr 2007 23:16:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Carroll", "Jeremy J.", "" ] ]
0704.3425
Mustapha Bentaiba
S.-A. Yahiaoui, H. Zerguini, M. Bentaiba
New Solvable Shape-Invariant Potentials for Position-Dependent Effective Mass
20 pages, 0 figure
null
null
null
math-ph math.MP
null
Four new exactly solvable, real and shape-invariant potentials associated with a position-dependent effective mass are generated within the concept of shape-invariant potentials using a specific ansatz for superpotential. The accompanying energy spectra of the bound-state and the ground-state wavefunction are obtained algebraically as a function of free parameters and the results are compared with those of others works in the litterature.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:07:02 GMT" } ]
2007-05-25T00:00:00
[ [ "Yahiaoui", "S. -A.", "" ], [ "Zerguini", "H.", "" ], [ "Bentaiba", "M.", "" ] ]
0704.3426
Neil Barnaby
N. Barnaby and J. M. Cline
Large Nongaussianity from Nonlocal Inflation
27 pages, no figures. Added references and some clarifying remarks
JCAP 0707:017,2007
10.1088/1475-7516/2007/07/017
null
hep-th astro-ph hep-ph
null
We study the possibility of obtaining large nongaussian signatures in the Cosmic Microwave Background in a general class of single-field nonlocal hill-top inflation models. We estimate the nonlinearity parameter f_{NL} which characterizes nongaussianity in such models and show that large nongaussianity is possible. For the recently proposed p-adic inflation model we find that f_{NL} ~ 120 when the string coupling is order unity. We show that large nongaussianity is also possible in a toy model with an action similar to those which arise in string field theory.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:11:56 GMT" }, { "version": "v2", "created": "Fri, 14 Sep 2007 14:03:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Barnaby", "N.", "" ], [ "Cline", "J. M.", "" ] ]
0704.3427
Yusuke Sasano
Yusuke Sasano
Five-parameter family of partial differential systems in two variables
9 pages, 2 figures
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We find a five-parameter family of partial differential systems in two variables with two polynomial Hamiltonians. We give its symmetry and holomorphy conditions. These symmetries, holomorphy conditions and invariant divisors are new.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:20:15 GMT" }, { "version": "v2", "created": "Wed, 18 Nov 2009 10:55:45 GMT" } ]
2009-11-18T00:00:00
[ [ "Sasano", "Yusuke", "" ] ]
0704.3428
Grygiel Krzysztof
I. Sliwa, P. Szlachetka, K. Grygiel
Generation of strongly chaotic beats
10 pages, 4 figures, accepted for publication in Int.J.Bif.Chaos
Int. J. Bif. Chaos vol.18, 835 (2008)
10.1142/S0218127408020689
null
nlin.CD
null
The letter proposes a procedure for generation of strongly chaotic beats that have been hardly obtainable hitherto. The beats are generated in a nonlinear optical system governing second-harmonic generation of light. The proposition is based on the concept of an optical coupler but can be easily adopted to other nonlinear systems and Chua's circuits.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:20:18 GMT" } ]
2015-05-13T00:00:00
[ [ "Sliwa", "I.", "" ], [ "Szlachetka", "P.", "" ], [ "Grygiel", "K.", "" ] ]
0704.3429
Carlos Kozameh
Carlos Kozameh and Florencia Parisi
Light Propagation on Quantum Curved Spacetime and Back reaction effects
null
Class.Quant.Grav.24:4475-4490,2007
10.1088/0264-9381/24/17/013
null
gr-qc
null
We study the electromagnetic field equations on an arbitrary quantum curved background in the semiclassical approximation of Loop Quantum Gravity. The effective interaction hamiltonian for the Maxwell and gravitational fields is obtained and the corresponding field equations, which can be expressed as a modified wave equation for the Maxwell potential, are derived. We use these results to analyze electromagnetic wave propagation on a quantum Robertson-Walker space time and show that Lorentz Invariance is not preserved. The formalism developed can be applied to the case where back reaction effects on the metric due to the electromagnetic field are taken into account, leading to non covariant field equations.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:27:44 GMT" } ]
2008-11-26T00:00:00
[ [ "Kozameh", "Carlos", "" ], [ "Parisi", "Florencia", "" ] ]
0704.3430
Edward Eyler
E. E. Eyler, D. E. Chieda, Matthew C. Stowe, Michael J. Thorpe, T. R. Schibli, and Jun Ye
Prospects for precision measurements of atomic helium using direct frequency comb spectroscopy
Shortened slightly and reformatted for Eur. Phys. J. D
Eur. Phys. J. D 48, 43-55 (2008)
10.1140/epjd/e2007-00289-y
null
physics.atom-ph
null
We analyze several possibilities for precisely measuring electronic transitions in atomic helium by the direct use of phase-stabilized femtosecond frequency combs. Because the comb is self-calibrating and can be shifted into the ultraviolet spectral region via harmonic generation, it offers the prospect of greatly improved accuracy for UV and far-UV transitions. To take advantage of this accuracy an ultracold helium sample is needed. For measurements of the triplet spectrum a magneto-optical trap (MOT) can be used to cool and trap metastable 2^3S state atoms. We analyze schemes for measuring the two-photon $2^3S \to 4^3S$ interval, and for resonant two-photon excitation to high Rydberg states, $2^3S \to 3^3P \to n^3S,D$. We also analyze experiments on the singlet-state spectrum. To accomplish this we propose schemes for producing and trapping ultracold helium in the 1^1S or 2^1S state via intercombination transitions. A particularly intriguing scenario is the possibility of measuring the $1^1S \to 2^1S$ transition with extremely high accuracy by use of two-photon excitation in a magic wavelength trap that operates identically for both states. We predict a ``triple magic wavelength'' at 412 nm that could facilitate numerous experiments on trapped helium atoms, because here the polarizabilities of the 1^1S, 2^1S and 2^3S states are all similar, small, and positive.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:28:34 GMT" }, { "version": "v2", "created": "Fri, 27 Apr 2007 01:42:04 GMT" }, { "version": "v3", "created": "Wed, 11 Jul 2007 20:26:38 GMT" } ]
2008-06-23T00:00:00
[ [ "Eyler", "E. E.", "" ], [ "Chieda", "D. E.", "" ], [ "Stowe", "Matthew C.", "" ], [ "Thorpe", "Michael J.", "" ], [ "Schibli", "T. R.", "" ], [ "Ye", "Jun", "" ] ]
0704.3431
Gary Mamon
Jean-Christophe Mauduit (1) and Gary A. Mamon (1,2) ((1) Institut d'Astrophysique de Paris (2) GEPI, Observatoire de Paris)
Suppressed radio emission in supercluster galaxies: enhanced ram pressure in merging clusters?
Version consolidated with Erratum A&A 499, 45
A&A (2007) 475, 169-185 (2007); Erratum in A&A (2009) 499,45
10.1051/0004-6361:20077721
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The environmental influence on the 1.4 GHz continuum radio emission of galaxies is analyzed in a 600 deg2 region of the local Universe containing the Shapley Supercluster (SSC). Galaxies in the FLASH and 6dFGS redshift surveys are cross-identified with NVSS radio sources, selected in a subsample doubly complete in volume and luminosity. Environmental effects are studied through a smoothed density field (normalized with random catalogs with the same survey edges and redshift selection function) and the distance to the nearest cluster (R/r200, where r200 is the virial radius, whose relation to the aperture velocity dispersion is quantified). The fraction of high radio loudness (R_K=L_radio/L_K) galaxies in the 10 Mpc Abell 3558 cluster complex at the core of the SSC (SSC-CR) is half as large than elsewhere. In the SSC-CR, R_K is anti-correlated with the density of the large-scale environment and correlated with R/r200: central brightest cluster galaxies (BCGs) in the SSC-CR are 10x less radio-loud than BCGs elsewhere, with signs of suppressed radio loudness in the SSC-CR also present beyond the BCGs, out to at least 0.3 r200. This correlation is nearly as strong as the tight correlation of L_K with R/r200 (K-luminosity segregation), inside the SSC-CR. The suppression of radio loudness in SSC-CR BCGs can be attributed to cluster-cluster mergers that destroy the cool core and thus the supply of gas to the central AGN. We analytically demonstrate that the low radio loudness of non-BCG galaxies within SSC-CR clusters cannot be explained by direct major galaxy mergers or rapid galaxy flyby collisions, but by the loss of gas supply through the enhanced ram pressure felt when these galaxies cross the shock front between the 2 merging clusters and are later subjected to the stronger wind from the 2nd cluster.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:52:37 GMT" }, { "version": "v2", "created": "Tue, 4 Sep 2007 14:38:06 GMT" }, { "version": "v3", "created": "Mon, 29 Jun 2009 15:32:09 GMT" } ]
2012-02-21T00:00:00
[ [ "Mauduit", "Jean-Christophe", "" ], [ "Mamon", "Gary A.", "" ] ]
0704.3432
Karl Gerd Vollbrecht
K. G. H. Vollbrecht and J. I. Cirac
Quantum simulators, continuous-time automata, and translationally invariant systems
partily rewritten and important references included
Phys. Rev. Lett. 100, 010501 (2008)
10.1103/PhysRevLett.100.010501
null
quant-ph
null
The general problem of finding the ground state energy of lattice Hamiltonians is known to be very hard, even for a quantum computer. We show here that this is the case even for translationally invariant systems. We also show that a quantum computer can be built in a 1D chain with a fixed, translationally invariant Hamitonian consisting of nearest--neighbor interactions only. The result of the computation is obtained after a prescribed time with high probability.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:49:51 GMT" }, { "version": "v2", "created": "Wed, 2 May 2007 19:19:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Vollbrecht", "K. G. H.", "" ], [ "Cirac", "J. I.", "" ] ]
0704.3433
Tshilidzi Marwala
Tshilidzi Marwala and Bodie Crossingham
Bayesian approach to rough set
20 pages, 3 figures
null
null
null
cs.AI
null
This paper proposes an approach to training rough set models using Bayesian framework trained using Markov Chain Monte Carlo (MCMC) method. The prior probabilities are constructed from the prior knowledge that good rough set models have fewer rules. Markov Chain Monte Carlo sampling is conducted through sampling in the rough set granule space and Metropolis algorithm is used as an acceptance criteria. The proposed method is tested to estimate the risk of HIV given demographic data. The results obtained shows that the proposed approach is able to achieve an average accuracy of 58% with the accuracy varying up to 66%. In addition the Bayesian rough set give the probabilities of the estimated HIV status as well as the linguistic rules describing how the demographic parameters drive the risk of HIV.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:50:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Marwala", "Tshilidzi", "" ], [ "Crossingham", "Bodie", "" ] ]
0704.3434
Shuchin Aeron
Shuchin Aeron, Manqi Zhao and Venkatesh Saligrama
On sensing capacity of sensor networks for the class of linear observation, fixed SNR models
37 pages, single column
null
null
null
cs.IT math.IT
null
In this paper we address the problem of finding the sensing capacity of sensor networks for a class of linear observation models and a fixed SNR regime. Sensing capacity is defined as the maximum number of signal dimensions reliably identified per sensor observation. In this context sparsity of the phenomena is a key feature that determines sensing capacity. Precluding the SNR of the environment the effect of sparsity on the number of measurements required for accurate reconstruction of a sparse phenomena has been widely dealt with under compressed sensing. Nevertheless the development there was motivated from an algorithmic perspective. In this paper our aim is to derive these bounds in an information theoretic set-up and thus provide algorithm independent conditions for reliable reconstruction of sparse signals. In this direction we first generalize the Fano's inequality and provide lower bounds to the probability of error in reconstruction subject to an arbitrary distortion criteria. Using these lower bounds to the probability of error, we derive upper bounds to sensing capacity and show that for fixed SNR regime sensing capacity goes down to zero as sparsity goes down to zero. This means that disproportionately more sensors are required to monitor very sparse events. Our next main contribution is that we show the effect of sensing diversity on sensing capacity, an effect that has not been considered before. Sensing diversity is related to the effective \emph{coverage} of a sensor with respect to the field. In this direction we show the following results (a) Sensing capacity goes down as sensing diversity per sensor goes down; (b) Random sampling (coverage) of the field by sensors is better than contiguous location sampling (coverage).
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:52:47 GMT" }, { "version": "v2", "created": "Mon, 14 May 2007 19:08:44 GMT" }, { "version": "v3", "created": "Mon, 4 Jun 2007 18:21:46 GMT" } ]
2007-07-13T00:00:00
[ [ "Aeron", "Shuchin", "" ], [ "Zhao", "Manqi", "" ], [ "Saligrama", "Venkatesh", "" ] ]
0704.3435
Graziano Vernizzi
Kevin L. Kohlstedt, Francisco Solis, Graziano Vernizzi, Monica Olvera de la Cruz
Spontaneous chirality via long-range electrostatic forces
Revtex, 4 pages, 4 figures
null
10.1103/PhysRevLett.99.030602
null
cond-mat.soft cond-mat.stat-mech
null
We consider a model for periodic patterns of charges constrained over a cylindrical surface. In particular we focus on patterns of chiral helices, achiral rings or vertical lamellae, with the constraint of global electroneutrality. We study the dependence of the patterns' size and pitch angle on the radius of the cylinder and salt concentration. We obtain a phase diagram by using numerical and analytic techniques. For pure Coulomb interactions, we find a ring phase for small radii and a chiral helical phase for large radii. At a critical salt concentration, the characteristic domain size diverges, resulting in macroscopic phase segregation of the components and restoring chiral symmetry. We discuss possible consequences and generalizations of our model.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:52:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Kohlstedt", "Kevin L.", "" ], [ "Solis", "Francisco", "" ], [ "Vernizzi", "Graziano", "" ], [ "de la Cruz", "Monica Olvera", "" ] ]
0704.3436
Mikhail Skvortsov
M. Houzet, M. A. Skvortsov
Mesoscopic fluctuations of the supercurrent in diffusive Josephson junctions
19 pages, 14 figures, 2 tables
Phys. Rev. B 77, 057002 (2008)
10.1103/PhysRevB.77.024525
null
cond-mat.mes-hall cond-mat.supr-con
null
We study mesoscopic fluctuations and weak localization correction to the supercurrent in Josephson junctions with coherent diffusive electron dynamics in the normal part. Two kinds of junctions are considered: a chaotic dot coupled to superconductors by tunnel barriers and a diffusive junction with transparent normal--superconducting interfaces. The amplitude of current fluctuations and the weak localization correction to the average current are calculated as functions of the ratio between the superconducting gap and the electron dwell energy, temperature, and superconducting phase difference across the junction. Technically, fluctuations on top of the spatially inhomogeneous proximity effect in the normal region are described by the replicated version of the \sigma-model. For the case of diffusive junctions with transparent interfaces, the magnitude of mesoscopic fluctuations of the critical current appears to be nearly 3 times larger than the prediction of the previous theory which did not take the proximity effect into account.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:54:22 GMT" } ]
2008-03-10T00:00:00
[ [ "Houzet", "M.", "" ], [ "Skvortsov", "M. A.", "" ] ]
0704.3437
Andreas Koch
A.Koch, J.T. Kleyna, M.I. Wilkinson, E.K. Grebel, G.F. Gilmore, N.W. Evans, R.F.G. Wyse, D.R. Harbeck
Stellar kinematics in the remote Leo II dwarf spheroidal galaxy -- Another brick in the wall
17 pages, 10 figures, accepted for publication in the AJ
Astron.J.134:566-578,2007
10.1086/519380
null
astro-ph
null
We present the projected velocity dispersion profile for the remote (d=233kpc) Galactic dwarf spheroidal (dSph) galaxy Leo II, based on 171 discrete stellar radial velocities that were obtained from medium-resolution spectroscopy using the FLAMES/GIRAFFE spectrograph at the European Southern Observatory, Chile. The dispersion profile of those stars with good membership probabilities is essentially flat with an amplitude of 6.6+-0.7 km/s over the full radial extent of our data, which probe to the stellar boundary of this galaxy. We find no evidence of any significant apparent rotation or velocity asymmetry which suggests that tidal effects cannot be invoked to explain Leo II's properties. From basic mass modeling, employing Jeans' equation, we derive a mass out to the limiting radius of (2.7+-0.5) 10^7 Msun and a global mass to light ratio of 27-45 in solar units, depending on the adopted total luminosity. A cored halo profile and a mild amount of tangential velocity anisotropy is found to account well for Leo II's observed kinematics, although we cannot exclude the possibility of a cusped halo with radially varying velocity anisotropy. All in all, this galaxy exhibits dark matter properties which appear to be concordant with the other dSph satellites of the Milky Way, namely a halo mass profile which is consistent with a central core and a total mass which is similar to the common mass scale seen in other dSphs.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 19:58:28 GMT" }, { "version": "v2", "created": "Wed, 25 Apr 2007 20:06:50 GMT" } ]
2009-06-23T00:00:00
[ [ "Koch", "A.", "" ], [ "Kleyna", "J. T.", "" ], [ "Wilkinson", "M. I.", "" ], [ "Grebel", "E. K.", "" ], [ "Gilmore", "G. F.", "" ], [ "Evans", "N. W.", "" ], [ "Wyse", "R. F. G.", "" ], [ "Harbeck", "D. R.", "" ] ]
0704.3438
Gabriele Ghisellini
G. Ghirlanda (1), Z. Bosnjak (2,1), G. Ghisellini (1), F. Tavecchio (1), C. Firmani (1,3) ((1) INAF-Osservatorio Astronomico di Brera; (2) Institut d'Astrophysique de Paris; (3) U.N.A.M. - Mexico)
Black-body components in Gamma-Ray Bursts spectra?
14 pages, 13 figures, accepted for publication in MNRAS
Mon.Not.Roy.Astron.Soc.379:73-85,2007
10.1111/j.1365-2966.2007.11890.x
null
astro-ph
null
We study 7 Gamma Ray Bursts (GRBs), detected both by the BATSE instrument, on-board the Compton Gamma Ray Observatory, and by the Wide Field Camera (WFC), on-board BeppoSAX. These bursts have measured spectroscopic redshifts and are a sizeable fraction of the bursts defining the correlation between the peak energy E_peak (i.e. the peak of the vFv spectrum) and the total prompt isotropic energy E_iso (the so called "Amati" relation). Recent theoretical interpretations of this correlation assume that black-body emission dominates the time resolved spectra of GRBs, even if, in the time integrated spectrum, its presence may be hidden by the change of its temperature and by the dilution of a possible non-thermal power law component. We perform a time resolved spectral analysis, and show that the sum of a power-law and a black-body gives acceptable fits to the time dependent spectra within the BATSE energy range, but overpredicts the flux in the WFC X-ray range. Moreover, a fit with a cutoff power-law plus a black-body is consistent with the WFC data, but the black-body component contributes a negligible fraction of the total flux. On the contrary, we find that fitting the spectra with a Band model or a simple cutoff power-law model yields an X-ray flux and spectral slope which well matches the WFC spectra.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 20:00:07 GMT" } ]
2009-06-23T00:00:00
[ [ "Ghirlanda", "G.", "" ], [ "Bosnjak", "Z.", "" ], [ "Ghisellini", "G.", "" ], [ "Tavecchio", "F.", "" ], [ "Firmani", "C.", "" ] ]
0704.3439
Dean Lee J
Dean Lee (North Carolina State University)
The symmetric heavy-light ansatz
38 pages, 13 figures, revised manuscript includes results for 1D, 2D, and 3D
Eur.Phys.J.A35:171-187,2008
10.1140/epja/i2008-10537-2
null
cond-mat.supr-con nucl-th physics.atm-clus
null
The symmetric heavy-light ansatz is a method for finding the ground state of any dilute unpolarized system of attractive two-component fermions. Operationally it can be viewed as a generalization of the Kohn-Sham equations in density functional theory applied to N-body density correlations. While the original Hamiltonian has an exact Z_2 symmetry, the heavy-light ansatz breaks this symmetry by skewing the mass ratio of the two components. In the limit where one component is infinitely heavy, the many-body problem can be solved in terms of single-particle orbitals. The original Z_2 symmetry is recovered by enforcing Z_2 symmetry as a constraint on N-body density correlations for the two components. For the 1D, 2D, and 3D attractive Hubbard models the method is in very good agreement with exact Lanczos calculations for few-body systems at arbitrary coupling. For the 3D attractive Hubbard model there is very good agreement with lattice Monte Carlo results for many-body systems in the limit of infinite scattering length.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 21:49:31 GMT" }, { "version": "v2", "created": "Tue, 12 Feb 2008 19:01:25 GMT" } ]
2010-02-11T00:00:00
[ [ "Lee", "Dean", "", "North Carolina State University" ] ]
0704.3440
Subroto Mukerjee
Subroto Mukerjee, Cenke Xu, Joel E. Moore
Dynamical models and the phase ordering kinetics of the s=1 spinor condensate
14 pages with 9 figures
Phys. Rev. B 76, 104519 (2007)
10.1103/PhysRevB.76.104519
null
cond-mat.stat-mech cond-mat.soft
null
The $s=1$ spinor Bose condensate at zero temperature supports ferromagnetic and polar phases that combine magnetic and superfluid ordering. We investigate the formation of magnetic domains at finite temperature and magnetic field in two dimensions in an optical trap. We study the general ground state phase diagram of a spin-1 system and focus on a phase that has a magnetic Ising order parameter and numerically determine the nature of the finite temperature superfluid and magnetic phase transitions. We then study three different dynamical models: model A, which has no conserved quantities, model F, which has a conserved second sound mode and the Gross-Pitaevskii (GP) equation which has a conserved density and magnetization. We find the dynamic critical exponent to be the same for models A and F ($z=2$) but different for GP ($z \approx 3$). Externally imposed magnetization conservation in models A and F yields the value $z \approx 3$, which demonstrates that the only conserved density relevant to domain formation is the magnetization density.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 22:02:28 GMT" }, { "version": "v2", "created": "Fri, 27 Apr 2007 19:31:50 GMT" } ]
2009-11-13T00:00:00
[ [ "Mukerjee", "Subroto", "" ], [ "Xu", "Cenke", "" ], [ "Moore", "Joel E.", "" ] ]
0704.3441
Tereasa G. Brainerd
Ingolfur Agustsson and Tereasa G. Brainerd
Anisotropic Locations of Satellite Galaxies: Clues to the Orientations of Galaxies within their Dark Matter Halos
43 pages, 13 figures, ApJ in press
Astrophys.J.709:1321-1336,2010
10.1088/0004-637X/709/2/1321
null
astro-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We investigate the locations of the satellites of relatively isolated host galaxies in the Sloan Digital Sky Survey and the Millennium Run simulation. Provided we use two distinct prescriptions to embed luminous galaxies within the simulated dark matter halos (ellipticals share the shapes of their halos, while disks have angular momenta that are aligned with the net angular momenta of their halos), we find a fair agreement between observation and theory. Averaged over scales r_p \le 500 kpc, the satellites of red, high-mass hosts with low star formation rates are found preferentially near the major axes of their hosts. In contrast, the satellites of blue, low-mass hosts with low star formation rates show little to no anisotropy when averaged over the same scale. The difference between the locations of the satellites of red and blue hosts cannot be explained by the effects of interlopers in the data. Instead, it is caused primarily by marked differences in the dependence of the mean satellite location, <\phi>, on the projected distance at which the satellites are found. We also find that the locations of red, high-mass satellites with low star formation rates show considerably more anisotropy than do the locations of blue, low--mass satellites with high star formation rates. There are two contributors to this result. First, the blue satellites have only recently arrived within their hosts' halos, while the red satellites arrived in the far distant past. Second, the sample of blue satellites is heavily contaminated by interlopers, which suppresses the measured anisotropy compared to the intrinsic anisotropy.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 20:08:28 GMT" }, { "version": "v2", "created": "Tue, 27 Oct 2009 19:33:50 GMT" }, { "version": "v3", "created": "Thu, 3 Dec 2009 17:04:39 GMT" } ]
2010-01-21T00:00:00
[ [ "Agustsson", "Ingolfur", "" ], [ "Brainerd", "Tereasa G.", "" ] ]
0704.3442
Oleg Lunin
Oleg Lunin
1/2-BPS states in M theory and defects in the dual CFTs
82 pages, 12 figures, added refs
JHEP0710:014,2007
10.1088/1126-6708/2007/10/014
EFI-07-12
hep-th
null
We study supersymmetric branes in AdS_7 x S^4 and AdS_4 x S^7. We show that in the former case the membranes should be viewed as M5 branes with fluxes and we identify two types of such fivebranes (they are analogous to giant gravitons and to dual giants). In AdS_4 x S^7 we find both M5 branes with fluxes and freestanding stacks of membranes. We also go beyond probe approximation and construct regular supergravity solutions describing geometries produced by the branes. The metrics are completely specified by one function which satisfies either Laplace or Toda equation and we give a complete classification of boundary conditions leading to smooth geometries. The brane configurations discussed in this paper are dual to various defects in three- and six-dimensional conformal field theories.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 20:17:31 GMT" }, { "version": "v2", "created": "Sun, 29 Jul 2007 00:18:50 GMT" } ]
2008-11-26T00:00:00
[ [ "Lunin", "Oleg", "" ] ]
0704.3443
Daniel Krashen
Daniel Krashen
Corestrictions of algebras and splitting fields
13 pages
null
null
null
math.RA
null
Given a field $F$, an \'etale extension $L/F$ and an Azumaya algebra $A/L$, one knows that there are extensions $E/F$ such that $A \otimes_F E$ is a split algebra over $L \otimes_F E$. In this paper we bound the degree of a minimal splitting field of this type from above and show that our bound is sharp in certain situations, even in the case where $L/F$ is a split extension. This gives in particular a number of generalizations of the classical fact that when the tensor product of two quaternion algebras is not a division algebra, the two quaternion algebras must share a common quadratic splitting field. In another direction, our constructions combined with results of Karpenko also show that for any odd prime number $p$, the generic algebra of index $p^n$, and exponent $p$ cannot be expressed nontrivially as the corestriction of an algebra over any extension field if $n < p^2$.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 20:20:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Krashen", "Daniel", "" ] ]
0704.3444
Alexander J. Wagner
Qun Li, A.J. Wagner
A Symmetric Free Energy Based Multi-Component Lattice Boltzmann Method
7 pager, 4 figures
null
10.1103/PhysRevE.76.036701
null
cond-mat.soft
null
We present a lattice Boltzmann algorithm based on an underlying free energy that allows the simulation of the dynamics of a multicomponent system with an arbitrary number of components. The thermodynamic properties, such as the chemical potential of each component and the pressure of the overall system, are incorporated in the model. We derived a symmetrical convection diffusion equation for each component as well as the Navier Stokes equation and continuity equation for the overall system. The algorithm was verified through simulations of binary and ternary systems. The equilibrium concentrations of components of binary and ternary systems simulated with our algorithm agree well with theoretical expectations.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 16:22:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Li", "Qun", "" ], [ "Wagner", "A. J.", "" ] ]
0704.3445
Jean Ruiz
Nicolae Angelescu (NIPNE), Robert Minlos (IITP), Jean Ruiz (CPT), Valentin Zagrebnov (CPT)
Lower Spectral Branches of a Spin-Boson Model
null
Journal of Mathematical Physics 49 (2008) 102105
10.1063/1.2987721
null
cond-mat.stat-mech math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the structure of the spectrum of a two-level quantum system weakly coupled to a boson field (spin-boson model). Our analysis allows to avoid the cutoff in the number of bosons, if their spectrum is bounded below by a positive constant. We show that, for small coupling constant, the lower part of the spectrum of the spin-boson Hamiltonian contains (one or two) isolated eigenvalues and (respectively, one or two) manifolds of atom $+ 1$-boson states indexed by the boson momentum $q$. The dispersion laws and generalized eigenfunctions of the latter are calculated.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 20:34:32 GMT" }, { "version": "v2", "created": "Tue, 28 Oct 2008 13:14:35 GMT" } ]
2008-10-28T00:00:00
[ [ "Angelescu", "Nicolae", "", "NIPNE" ], [ "Minlos", "Robert", "", "IITP" ], [ "Ruiz", "Jean", "", "CPT" ], [ "Zagrebnov", "Valentin", "", "CPT" ] ]
0704.3446
Pearl Sandick
John Ellis, Keith A. Olive and Pearl Sandick
Phenomenology of GUT-less Supersymmetry Breaking
35 pages, 9 figures; typos corrected, references added
JHEP 0706:079,2007
10.1088/1126-6708/2007/06/079
CERN-PH-TH/2007-073, UMN-TH-2602/07, FTPI-MINN-07/15
hep-ph astro-ph hep-ex
null
We study models in which supersymmetry breaking appears at an intermediate scale, M_{in}, below the GUT scale. We assume that the soft supersymmetry-breaking parameters of the MSSM are universal at M_{in}, and analyze the morphology of the constraints from cosmology and collider experiments on the allowed regions of parameter space as M_{in} is reduced from the GUT scale. We present separate analyses of the (m_{1/2},m_0) planes for tan(beta)=10 and tan(beta)=50, as well as a discussion of non-zero trilinear couplings, A_0. Specific scenarios where the gaugino and scalar masses appear to be universal below the GUT scale have been found in mirage-mediation models, which we also address here. We demand that the lightest neutralino be the LSP, and that the relic neutralino density not conflict with measurements by WMAP and other observations. At moderate values of M_{in}, we find that the allowed regions of the (m_{1/2},m_0) plane are squeezed by the requirements of electroweak symmetry breaking and that the lightest neutralino be the LSP, whereas the constraint on the relic density is less severe. At very low M_{in}, the electroweak vacuum conditions become the dominant constraint, and a secondary source of astrophysical cold dark matter would be necessary to explain the measured relic density for nearly all values of the soft SUSY-breaking parameters and tan(beta). We calculate the neutralino-nucleon cross sections for viable scenarios and compare them with the present and projected limits from direct dark matter searches.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 17:55:32 GMT" }, { "version": "v2", "created": "Tue, 7 Aug 2007 12:44:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Ellis", "John", "" ], [ "Olive", "Keith A.", "" ], [ "Sandick", "Pearl", "" ] ]
0704.3447
Barak Fishbain
Barak Fishbain, Leonid P. Yaroslavsky, Ianir A. Ideses
Real Time Turbulent Video Perfecting by Image Stabilization and Super-Resolution
Submitted to The Seventh IASTED International Conference on Visualization, Imaging, and Image Processing (VIIP 2007) August, 2007 Palma de Mallorca, Spain
null
10.1007/s11554-007-0037-x
null
physics.optics
null
Image and video quality in Long Range Observation Systems (LOROS) suffer from atmospheric turbulence that causes small neighbourhoods in image frames to chaotically move in different directions and substantially hampers visual analysis of such image and video sequences. The paper presents a real-time algorithm for perfecting turbulence degraded videos by means of stabilization and resolution enhancement. The latter is achieved by exploiting the turbulent motion. The algorithm involves generation of a reference frame and estimation, for each incoming video frame, of a local image displacement map with respect to the reference frame; segmentation of the displacement map into two classes: stationary and moving objects and resolution enhancement of stationary objects, while preserving real motion. Experiments with synthetic and real-life sequences have shown that the enhanced videos, generated in real time, exhibit substantially better resolution and complete stabilization for stationary objects while retaining real motion.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 20:36:01 GMT" } ]
2010-07-27T00:00:00
[ [ "Fishbain", "Barak", "" ], [ "Yaroslavsky", "Leonid P.", "" ], [ "Ideses", "Ianir A.", "" ] ]
0704.3448
Steve Gonek
S. M. Gonek
Finite Euler products and the Riemann Hypothesis
4 figures
null
null
null
math.NT math.CV
null
We show that if the Riemann Hypothesis is true, then in a region containing most of the right-half of the critical strip, the Riemann zeta-function is well approximated by short truncations of its Euler product. Conversely, if the approximation by products is good in this region, the zeta-function has at most finitely many zeros in it. We then construct a parameterized family of non-analytic functions with this same property. With the possible exception of a finite number of zeros off the critical line, every function in the family satisfies a Riemann Hypothesis. Moreover, when the parameter is not too large, they have about the same number of zeros as the zeta-function, their zeros are all simple, and they "repel". The structure of these functions makes the reason for the simplicity and repulsion of their zeros apparent and suggests a mechanism that might be responsible for the corresponding properties of the zeta-function's zeros. Computer evidence suggests that the zeros of functions in the family are remarkably close to those of the zeta-function (even for small values of the parameter), and we show that they indeed converge to them as the parameter increases. Furthermore, between zeros of the zeta-function, the moduli of functions in the family tend to twice the modulus of the zeta-function. Both assertions assume the Riemann Hypothesis. We end by discussing analogues for other L-functions and show how they give insight into the study of the distribution of zeros of linear combinations of L-functions.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 18:21:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Gonek", "S. M.", "" ] ]
0704.3449
Sergey Fedosov
A. F. Butenko, S. N. Fedosov, A. E. Sergeeva
Trapping of Compensating Charges in Corona Poled PVDF Films
6 pages, 4 figures
null
null
null
cond-mat.mtrl-sci
null
Experimental evidence is provided on close relation between polarization and space charge in corona poled PVDF films. It is shown that the depolarizing field is compensated by charges trapped in macroscopic transition zones, by which polarized parts of the volume are separated from non-polarized ones. The compensating charges are either injected in the bulk, or created inside due to the thermal emission and then trapped when the ferroelectric polarization in crystallites is formed.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 21:11:51 GMT" } ]
2007-05-23T00:00:00
[ [ "Butenko", "A. F.", "" ], [ "Fedosov", "S. N.", "" ], [ "Sergeeva", "A. E.", "" ] ]
0704.3450
Esther Beneish
Esther Beneish
The center of the generic algebra of degree p
I am withdrawing this article
null
null
null
math.RA math.RT
null
Let $F$ be an algebraically closed field of characteristic zero, and let $p$ be an odd prime. We show that the center of the generic division algebra of degree $p$ is stably rational over $F$. Equivalently, if we let $V=M_p(F) \oplus M_p(F)$ and $PGL_p$ act on $V$ by simultaneous conjugation, then we show that the function field of the quotient variety $V/PGL_p$ is stably rational over $F$.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 21:12:23 GMT" }, { "version": "v2", "created": "Thu, 7 Jun 2007 16:32:06 GMT" }, { "version": "v3", "created": "Mon, 26 Mar 2012 22:17:06 GMT" } ]
2012-03-28T00:00:00
[ [ "Beneish", "Esther", "" ] ]
0704.3451
Denis Demchenko
Denis O. Demchenko and Lin-Wang Wang
Localized Electron States Near a Metal-Semiconductor Nanocontact
11 pages 4 figures
null
10.1021/nl072027n
null
cond-mat.mtrl-sci cond-mat.other
null
The electronic structure of nanowires in contact with metallic electrodes of experimentally relevant sizes is calculated by incorporating the electrostatic polarization potential into the atomistic single particle Schr\"odinger equation. We show that the presence of an electrode produces localized electron/hole states near the electrode, a phenomenon only exhibited in nanostructures and overlooked in the past. This phenomenon will have profound implications on electron transport in such nanosystems. We calculate several electrode/nanowire geometries, with varying contact depths and nanowire radii. We demonstrate the change in the band gap of up to 0.5 eV in 3 nm diameter CdSe nanowires and calculate the magnitude of the applied electric field necessary to overcome the localization.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 21:18:35 GMT" } ]
2015-05-13T00:00:00
[ [ "Demchenko", "Denis O.", "" ], [ "Wang", "Lin-Wang", "" ] ]
0704.3452
David Adams
D.A. Adams, B. Schmittmann, and R.K.P. Zia
Coarsening of "clouds" and dynamic scaling in a far-from-equilibrium model system
null
Phys. Rev. E 75, 041123 (2007)
10.1103/PhysRevE.75.041123
null
cond-mat.stat-mech
null
A two-dimensional lattice gas of two species, driven in opposite directions by an external force, undergoes a jamming transition if the filling fraction is sufficiently high. Using Monte Carlo simulations, we investigate the growth of these jams ("clouds"), as the system approaches a non-equilibrium steady state from a disordered initial state. We monitor the dynamic structure factor $S(k_x,k_y;t)$ and find that the $k_x=0$ component exhibits dynamic scaling, of the form $S(0,k_y;t)=t^\beta \tilde{S}(k_yt^\alpha)$. Over a significant range of times, we observe excellent data collapse with $\alpha=1/2$ and $\beta=1$. The effects of varying filling fraction and driving force are discussed.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 21:22:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Adams", "D. A.", "" ], [ "Schmittmann", "B.", "" ], [ "Zia", "R. K. P.", "" ] ]
0704.3453
Tshilidzi Marwala
S. Mohamed, D. Rubin, and T. Marwala
An Adaptive Strategy for the Classification of G-Protein Coupled Receptors
9 pages, 5 tables, 3 figures
null
null
null
cs.AI q-bio.QM
null
One of the major problems in computational biology is the inability of existing classification models to incorporate expanding and new domain knowledge. This problem of static classification models is addressed in this paper by the introduction of incremental learning for problems in bioinformatics. Many machine learning tools have been applied to this problem using static machine learning structures such as neural networks or support vector machines that are unable to accommodate new information into their existing models. We utilize the fuzzy ARTMAP as an alternate machine learning system that has the ability of incrementally learning new data as it becomes available. The fuzzy ARTMAP is found to be comparable to many of the widespread machine learning systems. The use of an evolutionary strategy in the selection and combination of individual classifiers into an ensemble system, coupled with the incremental learning ability of the fuzzy ARTMAP is proven to be suitable as a pattern classifier. The algorithm presented is tested using data from the G-Coupled Protein Receptors Database and shows good accuracy of 83%. The system presented is also generally applicable, and can be used in problems in genomics and proteomics.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 21:23:31 GMT" } ]
2007-06-25T00:00:00
[ [ "Mohamed", "S.", "" ], [ "Rubin", "D.", "" ], [ "Marwala", "T.", "" ] ]
0704.3454
Diana Valencia
Diana Valencia (1), Dimitar D. Sasselov (2), and Richard J. O'Connell (1); ((1) Earth and Planetary Sciences Dept., Harvard University; (2) Harvard-Smithsonian Center for Astrophysics)
Detailed Models of super-Earths: How well can we infer bulk properties?
21 Pages, 5 figures. This article will appear in Astrophysical Journal (around September)
Astrophys.J.665:1413-1420,2007
10.1086/519554
null
astro-ph
null
The field of extrasolar planets has rapidly expanded to include the detection of planets with masses smaller than that of Uranus. Many of these are expected to have little or no hydrogen and helium gas and we might find Earth analogs among them. In this paper we describe our detailed interior models for a rich variety of such massive terrestrial and ocean planets in the 1-to-10 earth-mass range (super-Earths). The grid presented here allows the characterization of the bulk composition of super-Earths detected in transit and with a measured mass. We show that, on average, planet radius measurements to better than 5%, combined with mass measurements to better than 10% would permit us to distinguish between an icy or rocky composition. This is due to the fact that there is a maximum radius a rocky terrestrial planet may achieve for a given mass. Any value of the radius above this maximum terrestrial radius implies that the planet contains a large (> 10%) amount of water (ocean planet).
[ { "version": "v1", "created": "Wed, 25 Apr 2007 21:35:48 GMT" }, { "version": "v2", "created": "Wed, 9 May 2007 19:36:56 GMT" } ]
2009-06-23T00:00:00
[ [ "Valencia", "Diana", "" ], [ "Sasselov", "Dimitar D.", "" ], [ "O'Connell", "Richard J.", "" ], [ ";", "", "" ] ]
0704.3455
Paul Martini
Paul Martini (Ohio State), John S. Mulchaey, Daniel D. Kelson (Carnegie Observatories)
The Distribution of AGN in Clusters of Galaxies
ApJ accepted, 16 pages, 10 figs, eTable 2 and high-res version available at http://www.astronomy.ohio-state.edu/~martini/professional/publications/index.html Updated to match published version
Astrophys.J.664:761-776,2007
10.1086/519158
null
astro-ph
null
We present a study of the distribution of AGN in clusters of galaxies with a uniformly selected, spectroscopically complete sample of 35 AGN in eight clusters at z = 0.06 to 0.31. We find that the 12 AGN with L_X > 10^42 erg/s in galaxies more luminous than a rest-frame M_R < -20 mag are more centrally concentrated than typical cluster galaxies of this luminosity, although these AGN have comparable velocity and substructure distributions to other cluster members. In contrast, a larger sample of 30 cluster AGN with L_X > 10^41 erg/s do not show evidence for greater concentration than inactive members, nor evidence for a different kinematic or substructure distribution. As we do see clear differences in the spatial and kinematic distributions of the blue Butcher-Oemler and red galaxy populations, any difference in the AGN and inactive galaxy population must be less distinct than that between these two pairs of populations. Comparison of the AGN fraction selected via X-ray emission in this study to similarly-selected AGN in the field indicates that the AGN fraction is not significantly lower in clusters, contrary to AGN identified via visible-wavelength emission lines, but similar to the approximately constant radio-selected AGN fraction in clusters and the field. We also find significant evidence for variation between clusters and explore the dependence of cluster AGN fraction on redshift, velocity dispersion, cluster substructure, and Butcher-Oemler fraction. While we see weak evidence for several trends, correlations between these four parameters in our small sample precludes identification of which one(s) most strongly influence the cluster AGN fraction.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 21:40:26 GMT" }, { "version": "v2", "created": "Wed, 20 Jun 2007 17:40:23 GMT" } ]
2009-06-23T00:00:00
[ [ "Martini", "Paul", "", "Ohio State" ], [ "Mulchaey", "John S.", "", "Carnegie Observatories" ], [ "Kelson", "Daniel D.", "", "Carnegie Observatories" ] ]
0704.3456
Leandro Moral
Luis Velazquez
Spectral methods for orthogonal rational functions
62 pages
null
null
null
math.CA
null
An operator theoretic approach to orthogonal rational functions on the unit circle with poles in its exterior is presented in this paper. This approach is based on the identification of a suitable matrix representation of the multiplication operator associated with the corresponding orthogonality measure. Two different alternatives are discussed, depending whether we use for the matrix representation the standard basis of orthogonal rational functions, or a new one with poles alternatively located in the exterior and the interior of the unit circle. The corresponding representations are linear fractional transformations with matrix coefficients acting respectively on Hessenberg and five-diagonal unitary matrices. In consequence, the orthogonality measure can be recovered from the spectral measure of an infinite unitary matrix depending uniquely on the poles and the parameters of the recurrence relation for the orthogonal rational functions. Besides, the zeros of the orthogonal and para-orthogonal rational functions are identified as the eigenvalues of matrix linear fractional transformations of finite Hessenberg and five-diagonal matrices. As an application of this operator approach, we obtain new relations between the support of the orthogonality measure and the location of the poles and parameters of the recurrence relation, generalizing to the rational case known results for orthogonal polynomials on the unit circle. Finally, we extend these results to orthogonal polynomials on the real line with poles in the lower half plane.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 21:59:17 GMT" } ]
2007-05-23T00:00:00
[ [ "Velazquez", "Luis", "" ] ]
0704.3457
Dmitrii L. Maslov
Andrey V. Chubukov, Dmitrii L. Maslov
Cooper channel and the singularities in the thermodynamics of a Fermi liquid
5 pages, 1 figure
null
10.1103/PhysRevB.76.165111
null
cond-mat.str-el
null
We analyze how the logarithmic renormalizations in the Cooper channel affect the non-analytic temperature dependence of the specific heat coefficient \gamma (T) - \gamma (0)=A(T)T in a 2D Fermi liquid. We show that A(T) is expressed exactly in terms of the fully renormalized backscattering amplitude which includes the renormalization in the Cooper channel. In contrast to the 1D case, both charge and spin components of the backscattering amplitudes are subject to this renormalization. We show that the logarithmic renormalization of the charge amplitude vanishes for a flat Fermi surface, when the system becomes effectively one-dimensional.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 19:12:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Chubukov", "Andrey V.", "" ], [ "Maslov", "Dmitrii L.", "" ] ]
0704.3458
Thomas G. Rizzo
Thomas G. Rizzo
Searching for Lee-Wick Gauge Bosons at the LHC
17 pages, 4 figs; discussion added
JHEP 0706:070,2007
10.1088/1126-6708/2007/06/070
SLAC-PUB-12481
hep-ph astro-ph hep-ex
null
In an extension of the Standard Model(SM) based on the ideas of Lee and Wick, Grinstein, O'Connell and Wise have found an interesting way to remove the usual quadratically divergent contributions to the Higgs mass induced by radiative corrections. Phenomenologically, the model predicts the existence of Terascale, negative-norm copies of the usual SM fields with rather unique properties: ghost-like propagators and negative decay widths, but with otherwise SM-like couplings. The model is both unitary and causal on macroscopic scales. In this paper we examine whether or not such states with these unusual properties can be uniquely identified as such at the LHC. We find that in the extended strong and electroweak gauge boson sector of the model, which is the simplest one to analyze, such an identification can be rather difficult. Observation of heavy gluon-like resonances in the dijet channel offers the best hope for this identification.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 15:29:10 GMT" }, { "version": "v2", "created": "Mon, 4 Jun 2007 15:04:07 GMT" }, { "version": "v3", "created": "Mon, 11 Jun 2007 15:32:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Rizzo", "Thomas G.", "" ] ]
0704.3459
Jonathan Rosner
Michael Gronau and Jonathan L. Rosner
Systematic Error on Weak Phase $\gamma$ from $B \to \pi^+ \pi^-$ and $B \to K \pi$
Comments and figure added
Phys.Lett.B651:166-170,2007
10.1016/j.physletb.2007.06.030
TECHNION-PH-2007-14, EFI 07-13
hep-ph hep-ex
null
When CP asymmetries in $B^0(t)\to \pi^+ \pi^-$ are combined using broken flavor SU(3) with decay rates for $B^+\to K^0\pi^+$ and/or $B^0\to K^+\pi^-$, one can obtain stringent limits on the weak phase $\gamma$ which are consistent with those obtained from other CKM constraints. Experimental data in the past few years have improved to the extent that systematic errors associated with uncertainty in SU(3) symmetry breaking dominate the determination of $\gamma$. We obtain a value $\gamma =(73 \pm 4^{+10}_{-8})^\circ$, where the first error is statistical while the second one is systematic.
[ { "version": "v1", "created": "Wed, 25 Apr 2007 23:07:33 GMT" }, { "version": "v2", "created": "Sun, 29 Apr 2007 18:26:04 GMT" }, { "version": "v3", "created": "Thu, 31 May 2007 09:37:45 GMT" } ]
2008-11-26T00:00:00
[ [ "Gronau", "Michael", "" ], [ "Rosner", "Jonathan L.", "" ] ]
0704.3460
Fu Jian
Jian Fu, Xiang Yin, and Limin Tong
Two-color atom guide and 1D optical lattice using evanescent fields of high-order transverse modes
18 pages, 12 figures, 1 table
null
10.1088/0953-4075/40/21/007
null
quant-ph
null
We propose a two-color scheme of atom guide and 1D optical lattice using evanescent light fields of different transverse modes. The optical waveguide carries a red-detuned light and a blue-detuned light, with both modes far from resonance. The atom guide and 1D optical lattice potentials can be transformed to each other by using a Mach-Zehnder interferometer to accurately control mode transformation. This might provide a new approach to realize flexible transition between the guiding and trapping states of atoms.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 01:05:34 GMT" } ]
2009-11-13T00:00:00
[ [ "Fu", "Jian", "" ], [ "Yin", "Xiang", "" ], [ "Tong", "Limin", "" ] ]
0704.3461
Su Houng Lee
Su Houng Lee and Takumi Doi
The vector-scalar mixing in nuclear medium and the two quark component of scalar meson from QCD sum rules
11 pages, 2 figures
null
null
null
nucl-th
null
We derive the QCD sum rules for the vector and scalar meson mixing in nuclear medium, using a two quark interpolating field for both mesons. Modeling the mixing via a nucleon hole contribution with known coupling constant, the sum rule can be used to determine the overlap of the interpolating field and the scalar meson. In the I=0 channel, we find a stable Borel curve and an overlap that is about 10% of the corresponding value in the pseudo scalar or vector channel. The sum rule in the I=1 channel is less reliable but also consistent with a small value for the overlap. These results suggest that both the $\sigma$ and $a_0$ have a small two quark and thus probably a large tetraquark components. We discuss the possibility of observing these scalar mesons from vector mesons emanating from the nuclear medium.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 01:33:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Lee", "Su Houng", "" ], [ "Doi", "Takumi", "" ] ]
0704.3462
Pavel Yu. Moshin
P.Yu. Moshin, J.L. Tomazelli
On the Non-relativistic Limit of Linear Wave Equations for Zero and Unity Spin Particles
10 pages
Mod.Phys.Lett.A23:129-137,2008
10.1142/S0217732308023803
null
hep-th
null
The non-relativistic limit of the linear wave equation for zero and unity spin bosons of mass $m$ in the Duffin-Kemmer-Petiau representation is investigated by means of a unitary transformation, analogous to the Foldy-Wouthuysen canonical transformation for a relativistic electron. The interacting case is also analyzed, by considering a power series expansion of the transformed Hamiltonian, thus demonstrating that all features of particle dynamics can be recovered if corrections of order $1/m^{2}$ are taken into account through a recursive iteration procedure.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 02:39:32 GMT" }, { "version": "v2", "created": "Fri, 11 May 2007 23:43:47 GMT" } ]
2008-11-26T00:00:00
[ [ "Moshin", "P. Yu.", "" ], [ "Tomazelli", "J. L.", "" ] ]
0704.3463
L. C. Wang
L. C. Wang, X. L. Huang and X. X. Yi
Landau-Zener transition of a two-level system driven by spin chains near their critical points
5 pages, 4 figures. European Physical Journals D accepted
null
10.1140/epjd/e2007-00286-2
null
quant-ph
null
The Landau-Zener(LZ) transition of a two-level system coupling to spin chains near their critical points is studied in this paper. Two kinds of spin chains, the Ising spin chain and XY spin chain, are considered. We calculate and analyze the effects of system-chain coupling on the LZ transition. A relation between the LZ transition and the critical points of the spin chain is established. These results suggest that LZ transitions may serve as the witnesses of criticality of the spin chain. This may provide a new way to study quantum phase transitions as well as LZ transitions.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 01:58:35 GMT" }, { "version": "v2", "created": "Thu, 20 Sep 2007 00:19:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "L. C.", "" ], [ "Huang", "X. L.", "" ], [ "Yi", "X. X.", "" ] ]
0704.3464
Robert Shrock
Robert Shrock
Constraints on $N_c$ in Extensions of the Standard Model
4 pages, revtex
Phys.Rev.D76:055010,2007
10.1103/PhysRevD.76.055010
YITP-SB-07-16
hep-th hep-ph
null
We consider a class of theories involving an extension of the Standard Model gauge group to an {\it a priori} arbitrary number of colors, $N_c$, and derive constraints on $N_c$. One motivation for this is the string theory landscape. For two natural classes of embeddings of this $N_c$-extended Standard Model in a supersymmetric grand unified theory, we show that requiring unbroken electromagnetic gauge invariance, asymptotic freedom of color, and three generations of quarks and leptons forces one to choose $N_c=3$. Similarly, we show that for a theory combining the $N_c$-extended Standard Model with a one-family SU(2)$_{TC}$ technicolor theory, only the value $N_c=3$ is allowed.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 02:03:55 GMT" } ]
2008-11-26T00:00:00
[ [ "Shrock", "Robert", "" ] ]
0704.3465
Antonio Pulido Paton
Antonio Pulido Paton
Current prospects for ASTROD Inertial Sensor
22 pages, 1 figure. Accepted for publication in International Journal of Modern Physics D
Int.J.Mod.Phys.D17:941-963,2008
10.1142/S0218271808012620
null
gr-qc
null
The Astrodynamical Space Test of Relativity using Optical Devices (ASTROD) is a multi-purpose relativity mission concept. ASTROD's scientific goals are the measurement of relativistic and solar system parameters to unprecedented precision, and the detection and observation of low-frequency gravitational waves to frequencies down to $5\times10^{-6}$ Hz. To accomplish its goals, ASTROD will employ a constellation of drag-free satellites, aiming for a residual acceleration noise of (0.3-1)$\times$ 10$^{-15}$ m s$^{-2}$ Hz$^{-1/2}$ at 0.1 mHz. Noise sources and strategies for improving present acceleration noise levels are reported.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 09:50:32 GMT" } ]
2008-11-26T00:00:00
[ [ "Paton", "Antonio Pulido", "" ] ]
0704.3466
Alexander Bolonkin
Alexander Bolonkin
Optimal Electrostatic Space Tower (Mast, New Space Elevator)
11 pages, 6 figures, 3 tables
null
null
null
physics.gen-ph physics.space-ph
null
Author offers and researched the new and revolutionary inflatable electrostatic AB space towers (mast, new space elevator) up to one hundred twenty thousands kilometers (or more) in height. The main innovation is filling the tower by electron gas, which can create pressure up one atmosphere, has negligible small weight and surprising properties. The suggested mast has following advantages in comparison with conventional space elevator: 1. Electrostatic AB tower may be built from Earth surface without the employment of any rockets. That decreases the cost of electrostatic mast by thousands of times. 2. One can have any height and has a big control load capacity. 3. Electrostatic tower can have the height of a geosynchronous orbit (36,000 km) WITHOUT the additional top cable as the space elevator (up 120,000 - 160,000 km) and counterweight (equalizer) of hundreds of tons. 4. The offered mast has less total mass than conventional space elevator. 5. The offered tower can have the high-speed electrostatic climbers moved by high-voltage electricity from Earth's surface. 6. The electrostatic mast can bend in any needed direction when we give the necessary electric voltage in the required parts of the extended mast. 7. Control mast has stability for any altitude. Three projects 100 km, 36,000km (GEO), 120,000 km are computed and presented.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 02:54:59 GMT" } ]
2007-05-23T00:00:00
[ [ "Bolonkin", "Alexander", "" ] ]
0704.3467
Kunihito Ioka
Kunihito Ioka, Hiroyuki Nakano
Second and higher-order quasi-normal modes in binary black hole mergers
5 pages, 1 figure, accepted for publication in PRD Rapid Communications
Phys.Rev.D76:061503,2007
10.1103/PhysRevD.76.061503
null
astro-ph gr-qc
null
Black hole (BH) oscillations known as quasi-normal modes (QNMs) are one of the most important gravitational wave (GW) sources. We propose that higher perturbative order of QNMs, generated by nonlinear gravitational interaction near the BHs, are detectable and worth searching for in observations and simulations of binary BH mergers. We calculate the metric perturbations to second-order and explicitly regularize the master equation at the horizon and spatial infinity. We find that the second-order QNMs have frequencies twice the first-order ones and the GW amplitude is up to ~10% that of the first-order one. The QNM frequency would also shift blueward up to ~1%. This provides a new test of general relativity as well as a possible distance indicator.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 02:59:25 GMT" }, { "version": "v2", "created": "Wed, 13 Jun 2007 06:25:34 GMT" }, { "version": "v3", "created": "Fri, 3 Aug 2007 04:43:34 GMT" } ]
2008-12-18T00:00:00
[ [ "Ioka", "Kunihito", "" ], [ "Nakano", "Hiroyuki", "" ] ]
0704.3468
Shu-Yu Hsu
Shu-Yu Hsu
Uniqueness of solutions of Ricci flow on complete noncompact manifolds
A simple example of a manifold with bounded curvature and injectivity radius going to zero as the point tends to infinity is given. A proof and argument why the crucial lemma Lemma 2.2 of the Chen-Zhu's paper \cite{CZ} cannot hold is given
null
null
null
math.DG math.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove the uniqueness of solutions of the Ricci flow on complete noncompact manifolds with bounded curvatures using the De Turck approach. As a consequence we obtain a correct proof of the existence of solution of the Ricci harmonic flow on complete noncompact manifolds with bounded curvatures.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 06:16:06 GMT" }, { "version": "v2", "created": "Fri, 18 May 2007 02:37:47 GMT" }, { "version": "v3", "created": "Tue, 10 Aug 2010 12:58:37 GMT" }, { "version": "v4", "created": "Fri, 7 Oct 2011 05:55:47 GMT" } ]
2011-10-10T00:00:00
[ [ "Hsu", "Shu-Yu", "" ] ]
0704.3469
Brant Jones
Hugh Denoncourt and Brant C. Jones
The enumeration of maximally clustered permutations
17 pages; corrected typos, added new section
null
null
null
math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The maximally clustered permutations are characterized by avoiding the classical permutation patterns 3421, 4312, and 4321. This class contains the freely-braided permutations and the fully-commutative permutations. In this work, we show that the generating functions for certain fully-commutative pattern classes can be transformed to give generating functions for the corresponding freely-braided and maximally clustered pattern classes. Moreover, this transformation of generating functions is rational. As a result, we obtain enumerative formulas for the pattern classes mentioned above as well as the corresponding hexagon-avoiding pattern classes where the hexagon-avoiding permutations are characterized by avoiding 46718235, 46781235, 56718234, and 56781234.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 16:49:32 GMT" }, { "version": "v2", "created": "Thu, 25 Sep 2008 17:54:39 GMT" } ]
2008-09-25T00:00:00
[ [ "Denoncourt", "Hugh", "" ], [ "Jones", "Brant C.", "" ] ]
0704.3470
Courtney Mewton
C. J. Mewton and Z. Ficek
Radiative properties of a linear chain of coupled qubits
20 pages, 11 figures
J. Phys. B: At. Mol. Opt. Phys. 40 (2007) S181-S197
10.1088/0953-4075/40/9/S11
null
quant-ph
null
We calculate the radiative properties for a linear dipole-coupled chain of qubits. Using the explicit energy eigenstates of the system, we find the radiation patterns for spontaneous transitions from the one-photon eigenstates to the ground state of the system. We show that depending on the excitation of a specific atom, the radiation tends to be focused either along or perpendicular to the chain. We conclude with a derivation of the total decay rate of the one-photon eigenstates, and find the interesting result that for systems where the photon wavenumber is not much larger than the interatomic spacing, up to 94% of the eigenstates are subradiant, that is, they decay significantly slower than a single atom in isolation.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 03:37:21 GMT" } ]
2007-05-23T00:00:00
[ [ "Mewton", "C. J.", "" ], [ "Ficek", "Z.", "" ] ]
0704.3471
Bernd Sturmfels
Bernd Sturmfels and Jenia Tevelev
Elimination Theory for Tropical Varieties
19 pages
null
null
null
math.AG math.AC
null
Tropical algebraic geometry offers new tools for elimination theory and implicitization. We determine the tropicalization of the image of a subvariety of an algebraic torus under any homomorphism from that torus to another torus.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 04:01:49 GMT" } ]
2007-05-23T00:00:00
[ [ "Sturmfels", "Bernd", "" ], [ "Tevelev", "Jenia", "" ] ]
0704.3472
Hamed Moradi
H. Moradi, A. -C. Donea, C. Lindsey, D. Besliu-Ionescu and P. S. Cally
Helioseismic analysis of the solar flare-induced sunquake of 2005 January 15
12 pages, 7 figures, published in MNRAS
Mon.Not.Roy.Astron.Soc.374:1155-1163,2007
10.1111/j.1365-2966.2006.11234.x
null
astro-ph
null
We report the discovery of one of the most powerful sunquakes detected to date, produced by an X1.2-class solar flare in active region 10720 on 2005 January 15. We used helioseismic holography to image the source of seismic waves emitted into the solar interior from the site of the flare. Acoustic egression power maps at 3 and 6 mHz with a 2 mHz bandpass reveal a compact acoustic source strongly correlated with impulsive hard X-ray and visible-continuum emission along the penumbral neutral line separating the two major opposing umbrae in the $\delta$-configuration sunspot that predominates AR10720. The acoustic emission signatures were directly aligned with both hard X-ray and visible continuum emission that emanated during the flare. The visible continuum emission is estimated at $2.0 \times 10^{23}$ J, approximately 500 times the seismic emission of $\sim 4 \times 10^{20}$ J. The flare of 2005 January 15 exhibits the same close spatial alignment between the sources of the seismic emission and impulsive visible continuum emission as previous flares, reinforcing the hypothesis that the acoustic emission may be driven by heating of the low photosphere. However, it is a major exception in that there was no signature to indicate the inclusion of protons in the particle beams thought to supply the energy radiated by the flare. The continued strong coincidence between the sources of seismic emission and impulsive visible continuum emission in the case of a proton-deficient white-light flare lends substantial support to the ``back -- warming'' hypothesis, that the low photosphere is significantly heated by intense Balmer and Paschen continuum-edge radiation from the overlying chromosphere in white-light flares.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 04:39:08 GMT" } ]
2009-06-23T00:00:00
[ [ "Moradi", "H.", "" ], [ "Donea", "A. -C.", "" ], [ "Lindsey", "C.", "" ], [ "Besliu-Ionescu", "D.", "" ], [ "Cally", "P. S.", "" ] ]
0704.3473
Matthew Johnson
Anthony Aguirre, Matthew C Johnson, Assaf Shomer
Towards observable signatures of other bubble universes
17 PRD-style pages including 13 embedded figures. Minor corrections to figures 4 and 7 and added discussion in Sec. III.E.2 and V
Phys.Rev.D76:063509,2007
10.1103/PhysRevD.76.063509
null
hep-th astro-ph gr-qc
null
We evaluate the possibility of observable effects arising from collisions between vacuum bubbles in a universe undergoing false-vacuum eternal inflation. Contrary to conventional wisdom, we find that under certain assumptions most positions inside a bubble should have access to a large number of collision events. We calculate the expected number and angular size distribution of such collisions on an observer's "sky," finding that for typical observers the distribution is anisotropic and includes many bubbles, each of which will affect the majority of the observer's sky. After a qualitative discussion of the physics involved in collisions between arbitrary bubbles, we evaluate the implications of our results, and outline possible detectable effects. In an optimistic sense, then, the present paper constitutes a first step in an assessment of the possible effects of other bubble universes on the cosmic microwave background and other observables.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 05:16:39 GMT" }, { "version": "v2", "created": "Tue, 15 May 2007 22:44:25 GMT" }, { "version": "v3", "created": "Wed, 25 Jul 2007 13:30:54 GMT" } ]
2008-11-26T00:00:00
[ [ "Aguirre", "Anthony", "" ], [ "Johnson", "Matthew C", "" ], [ "Shomer", "Assaf", "" ] ]
0704.3474
Tshilidzi Marwala
Fulufhelo V. Nelwamondo, Shakir Mohamed and Tshilidzi Marwala
Missing Data: A Comparison of Neural Network and Expectation Maximisation Techniques
24 pages, 7 figures, 4 tables
null
null
null
stat.AP
null
The estimation of missing input vector elements in real time processing applications requires a system that possesses the knowledge of certain characteristics such as correlations between variables, which are inherent in the input space. Computational intelligence techniques and maximum likelihood techniques do possess such characteristics and as a result are important for imputation of missing data. This paper compares two approaches to the problem of missing data estimation. The first technique is based on the current state of the art approach to this problem, that being the use of Maximum Likelihood (ML) and Expectation Maximisation (EM. The second approach is the use of a system based on auto-associative neural networks and the Genetic Algorithm as discussed by Adbella and Marwala3. The estimation ability of both of these techniques is compared, based on three datasets and conclusions are made.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 05:03:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Nelwamondo", "Fulufhelo V.", "" ], [ "Mohamed", "Shakir", "" ], [ "Marwala", "Tshilidzi", "" ] ]
0704.3475
Anatoly Ivanov
A.A. Ivanov
On UHECR energy estimation algorithms based on the measurement of electromagnetic component parameters in EAS
contracted version is accepted for publication in Doklady Physics
Doklady Physics, vol. 52, no.10, p.523-526 (2007)
10.1134/S1028335807100035
null
astro-ph
null
Model calculations are performed of extensive air shower (EAS) component energies using a variety of hadronic interaction parameters. A conversion factor from electromagnetic component energy to the energy of ultra-high energy cosmic rays (UHECRs) and its model and primary mass dependence is studied. It is shown that model dependence of the factor minimizes under the necessary condition of the same maximum position and muon content of simulated showers.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 05:09:07 GMT" } ]
2008-03-24T00:00:00
[ [ "Ivanov", "A. A.", "" ] ]
0704.3476
Masamichi Ishihara
Masamichi Ishihara
Suppression of growth by multiplicative white noise in a parametric resonant system
The title and the description in the manuscript are changed
Brazilian Journal of Physics 45, 112-119 (2015)
10.1007/s13538-014-0290-y
null
cond-mat.stat-mech cond-mat.other
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The author studied the growth of the amplitude in a Mathieu-like equation with multiplicative white noise. The approximate value of the exponent at the extremum on parametric resonance regions was obtained theoretically by introducing the width of time interval, and the exponents were calculated numerically by solving the stochastic differential equations by a symplectic numerical method. The Mathieu-like equation contains a parameter $\alpha$ that is determined by the intensity of noise and the strength of the coupling between the variable and the noise. The value of $\alpha$ was restricted not to be negative without loss of generality. It was shown that the exponent decreases with $\alpha$, reaches a minimum and increases after that. It was also found that the exponent as a function of $\alpha$ has only one minimum at $\alpha \neq 0$ on parametric resonance regions of $\alpha = 0$. This minimum value is obtained theoretically and numerically. The existence of the minimum at $\alpha \neq 0$ indicates the suppression of the growth by multiplicative white noise.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 05:17:51 GMT" }, { "version": "v2", "created": "Tue, 25 Sep 2007 05:37:28 GMT" }, { "version": "v3", "created": "Wed, 27 Feb 2008 03:30:39 GMT" }, { "version": "v4", "created": "Tue, 23 Jun 2009 04:47:37 GMT" }, { "version": "v5", "created": "Thu, 12 Nov 2009 04:34:38 GMT" }, { "version": "v6", "created": "Mon, 14 Jun 2010 07:55:48 GMT" }, { "version": "v7", "created": "Fri, 28 Oct 2011 11:12:08 GMT" } ]
2017-12-12T00:00:00
[ [ "Ishihara", "Masamichi", "" ] ]
0704.3477
Selcuk Bilir
S. Ak, S. Bilir, S. Karaali, R. Buser, A. Cabrera-Lavers
The metallicity distributions in high-latitudes with SDSS
14 pages, 7 figures and 2 tables, accepted for publication in New Astronomy
NewAstron.12:605-612,2007
10.1016/j.newast.2007.04.005
null
astro-ph
null
We present metallicities and their variations with different parameters for 36 high-latitude fields covering Galactic longitudes 0<l<360. The metallicities for relatively short vertical distances (z<2.5 kpc) show systematic fluctuations with Galactic longitude, similar to those of the thick-disc scaleheight, which may be interpreted as indicating a common origin, viz., the flare effect of the disc. This suggestion is supported by the metallicity variations which we find as functions of radial distance. The metallicity variation at larger vertical distances (6.5<z<9.5 kpc) is small but monotonic. Three different vertical metallicity gradients could be detected: d[M/H]/dz=-0.22(+/-0.03), d[M/H]/dz=-0.38 (+/-0.06), and d[M/H]/dz=-0.08 (+/-0.07) dex/kpc for the intervals z<3, 3<z<5, and 5<z<10 kpc, respectively. Since our data cover the whole Galactic longitude interval, the resulting metallicity gradients can be interpreted as properties of the larger-scale Galaxy. The first gradient confirms the dissipational formation of the disc at short z-distances. The steeper gradient corresponds to the transition region between different population components of the Galaxy, and finally, the lowest value provides an adequate description of the inner-halo metallicity gradient.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 06:03:36 GMT" } ]
2008-11-26T00:00:00
[ [ "Ak", "S.", "" ], [ "Bilir", "S.", "" ], [ "Karaali", "S.", "" ], [ "Buser", "R.", "" ], [ "Cabrera-Lavers", "A.", "" ] ]
0704.3478
Pengfei Lan
Pengfei Lan, Peixiang Lu, Wei Cao, Yuhua Li, Xinlin Wang
Isolated sub-100-attosecond pulse generation via controlling electron dynamics
11 pages, 4 figures
PhysRevA.76.011402 (2007)
10.1103/PhysRevA.76.011402
null
physics.atom-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A new method to coherently control the electron dynamics is proposed using a few-cycle laser pulse in combination with a controlling field. It is shown that this method not only broadens the attosecond pulse bandwidth, but also reduces the chirp, then an isolated 80-as pulse is straightforwardly obtained and even shorter pulse is achievable by increasing the intensity of the controlling field. Such ultrashort pulses allow one to investigate ultrafast electronic processes which have never be achieved before. In addition, the few-cycle synthesized pulse is expected to manipulate a wide range of laser-atom interactions.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 06:32:54 GMT" }, { "version": "v2", "created": "Thu, 10 Jul 2008 12:51:03 GMT" } ]
2015-04-06T00:00:00
[ [ "Lan", "Pengfei", "" ], [ "Lu", "Peixiang", "" ], [ "Cao", "Wei", "" ], [ "Li", "Yuhua", "" ], [ "Wang", "Xinlin", "" ] ]
0704.3479
Ghi Shin R.
Ghi R. Shin
Elliptic Flow and Jet Quenching of a Parton System after Relativistic Heavy Ion Collision
14 pages, applied for J. Korean Physical Society
null
10.3938/jkps.51.18
null
nucl-th
null
We obtain the initial phase space distribution after relativistic heavy ion collision by the CGC shattering method incorporating the uncertainty principle and solve the semi-classical Boltzmann equation which includes the gluon radiation processes. We present as a function of time the attenuation rate of high $p_T$ partons, which have transverse momenta over 6 $GeV/c$, in the medium which is formed after relativistic heavy ion collision. We calculate the elliptic flow as a function of an impact parameter, time and transverse momentum and also present the polar anisotropy, which gives the initial condition for color filamentation.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 06:43:11 GMT" } ]
2015-05-13T00:00:00
[ [ "Shin", "Ghi R.", "" ] ]
0704.3480
Anisia Tang Pui Shan
A. Y. L. Wong, Y. F. Huang, K. S. Cheng
Transient X-ray Emission from Normal Galactic Nuclei
5 figures, accepted by A&A
Astron.Astrophys.472:93,2007
10.1051/0004-6361:20077222
null
astro-ph
null
X-ray transients appeared in optically non-active galactic nuclei have been observed in recent years. The most popular model explaining this kind of phenomena is the conventional tidal disruption model. In this model, when a star moves within the tidal radius of a black hole, part of the star materials will fall into the black hole through an accretion disk, which gives rise to the luminous flare. We propose that the X-ray emission may not necessarily come from radiation of the accretion disk alone. Instead, it may be related to a jet. As the jet travels in the interstellar medium, a shock is produced and synchrotron radiation is expected. We compared the model light curve and the synchrotron radiation spectrum with the observed data, and find that our model explains the observed light curve and late-time spectrum well. Our model predicts that these transient active galactic nuclei could be sources of the future gamma-ray satellites, e.g. GLAST and the emission region will be expanding with time.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 07:01:59 GMT" }, { "version": "v2", "created": "Mon, 30 Apr 2007 07:35:51 GMT" }, { "version": "v3", "created": "Tue, 12 Jun 2007 08:19:16 GMT" } ]
2009-06-23T00:00:00
[ [ "Wong", "A. Y. L.", "" ], [ "Huang", "Y. F.", "" ], [ "Cheng", "K. S.", "" ] ]
0704.3481
Masafumi Kurachi
Masafumi Kurachi, Robert Shrock, Koichi Yamawaki
Z Boson Propagator Correction in Technicolor Theories with ETC Effects Included
15pages, 8 figures
Phys.Rev.D76:035003,2007
10.1103/PhysRevD.76.035003
YITP-SB-07-07
hep-ph
null
We calculate the Z boson propagator correction, as described by the S parameter, in technicolor theories with extended technicolor interactions included. Our method is to solve the Bethe-Salpeter equation for the requisite current-current correlation functions. Our results suggest that the inclusion of extended technicolor interactions has a relatively small effect on S.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 07:06:41 GMT" } ]
2008-11-26T00:00:00
[ [ "Kurachi", "Masafumi", "" ], [ "Shrock", "Robert", "" ], [ "Yamawaki", "Koichi", "" ] ]
0704.3482
Sagar Chakraborty Mr.
Sagar Chakraborty, Partha Guha
On the MHD load and the MHD metage
Some issues in the paper are yet to be addressed. Constructive critisicms are most welcome
Phys. Plasmas 15, 012112 (2008)
10.1063/1.2836617
null
physics.plasm-ph physics.flu-dyn
null
In analogy with the load and the metage in hydrodynamics, we define magnetohydrodynamic load and magnetohydrodynamic metage in the case of magnetofluids. They can be used to write the magnetic field in MHD in Clebsch's form. We show how these two concepts can be utilised to derive the magnetic analogue of the Ertel's theorem and also, how in the presence of non-trivial topology of the magnetic field in the magnetofluid one may associate the linking number of the magnetic field lines with the invariant MHD loads. The paper illustrates that the symmetry translation of the MHD metage in the corresponding label space generates the conservation of cross helicity.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 07:15:16 GMT" } ]
2015-05-13T00:00:00
[ [ "Chakraborty", "Sagar", "" ], [ "Guha", "Partha", "" ] ]
0704.3483
Arup Banerjee
Arup Banerjee
Collective oscillations of a Bose-Fermi mixture: Effect of unequal mass of Bose and Fermi particles
15 pages, 4 figures
null
10.1103/PhysRevA.76.023611
null
cond-mat.other cond-mat.mes-hall
null
We investigate the effect of different mass of a Bose- and a Fermi-particle on the collective oscillations of the degenerate boson-fermion mixtures. In particular we consider the monopole and the quadrupole modes of the oscillations and study their characters and the frequencies by using variational-sum-rule approach. We find that for both the modes there exists a critical value of the ratio of boson-fermion mass below and above which the character and the frequency of the respective modes are significantly different.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 07:18:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Banerjee", "Arup", "" ] ]
0704.3484
Chethan Krishnan
Jarah Evslin, Chethan Krishnan, Stanislav Kuperstein
Cascading Quivers from Decaying D-branes
11 pages, 1 figure; v2: references added
JHEP0708:020,2007
10.1088/1126-6708/2007/08/020
null
hep-th
null
We use an argument analogous to that of Kachru, Pearson and Verlinde to argue that cascades in L^{a,b,c} quiver gauge theories always preserve the form of the quiver, and that all gauge groups drop at each step by the number M of fractional branes. In particular, we demonstrate that an NS5-brane that sweeps out the S^3 of the base of L^{a,b,c} destroys M D3-branes.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 10:06:05 GMT" }, { "version": "v2", "created": "Mon, 7 May 2007 16:08:53 GMT" } ]
2008-11-26T00:00:00
[ [ "Evslin", "Jarah", "" ], [ "Krishnan", "Chethan", "" ], [ "Kuperstein", "Stanislav", "" ] ]
0704.3485
Xing-Hao Ye
Xing-Hao Ye, Qiang Lin
A Simple Optical Analysis of Gravitational Lensing
4 pages, 6 figures
null
10.1080/09500340701618395
null
gr-qc
null
We analyzed the influence of static gravitational field on the vacuum and proposed the concept of inhomogeneous vacuum. According to the corresponding Fermat's principle in the general relativity, we derived a graded refractive index of vacuum in a static gravitational field. We found that the light deflection in a gravitational field can be calculated correctly with the use of this refractive index and therefore the gravitational lensing can be treated conveniently with the optical method. For illustration, we simulated the imaging of gravitational lensing, figured out the time delay between the two images and calculated the lens mass in a conventional optical way.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 12:07:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Ye", "Xing-Hao", "" ], [ "Lin", "Qiang", "" ] ]
0704.3486
Tilo Wettig
J. Bloch, A. Frommer, B. Lang, T. Wettig
An iterative method to compute the sign function of a non-Hermitian matrix and its application to the overlap Dirac operator at nonzero chemical potential
11 pages, 4 figures; minor changes, as published in Comput. Phys. Commun.
Comput.Phys.Commun.177:933-943,2007
null
null
hep-lat
null
The overlap Dirac operator in lattice QCD requires the computation of the sign function of a matrix. While this matrix is usually Hermitian, it becomes non-Hermitian in the presence of a quark chemical potential. We show how the action of the sign function of a non-Hermitian matrix on an arbitrary vector can be computed efficiently on large lattices by an iterative method. A Krylov subspace approximation based on the Arnoldi algorithm is described for the evaluation of a generic matrix function. The efficiency of the method is spoiled when the matrix has eigenvalues close to a function discontinuity. This is cured by adding a small number of critical eigenvectors to the Krylov subspace, for which we propose two different deflation schemes. The ensuing modified Arnoldi method is then applied to the sign function, which has a discontinuity along the imaginary axis. The numerical results clearly show the improved efficiency of the method. Our modification is particularly effective when the action of the sign function of the same matrix has to be computed many times on different vectors, e.g., if the overlap Dirac operator is inverted using an iterative method.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 19:56:21 GMT" }, { "version": "v2", "created": "Fri, 19 Oct 2007 14:27:13 GMT" } ]
2016-02-09T00:00:00
[ [ "Bloch", "J.", "" ], [ "Frommer", "A.", "" ], [ "Lang", "B.", "" ], [ "Wettig", "T.", "" ] ]
0704.3487
Charles M. Marcus
J. R. Williams, L. DiCarlo, C. M. Marcus
Quantum Hall Effect in a Graphene p-n Junction
related papers at http://marcuslab.harvard.edu. Fixed a factor of 2 in Eq. 1 and 2
Science 317, 638 (2007)
null
null
cond-mat.mes-hall cond-mat.mtrl-sci
null
We report on the fabrication and transport studies of a single-layer graphene p-n junction. Carrier type and density in two adjacent regions are individually controlled by electrostatic gating using a local top gate and a global back gate. A functionalized Al203 oxide that adheres to graphene and does not significantly affect its electronic properties is described. Measurements in the quantum Hall regime reveal new plateaus of two-terminal conductance across the junction at 1 and 3/2 times the quantum of conductance, e2/h, consistent with theory.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 19:57:15 GMT" }, { "version": "v2", "created": "Tue, 28 Aug 2007 17:18:04 GMT" } ]
2007-08-28T00:00:00
[ [ "Williams", "J. R.", "" ], [ "DiCarlo", "L.", "" ], [ "Marcus", "C. M.", "" ] ]
0704.3488
R.J. Vanderbei
R.J. Vanderbei, N.J. Kasdin, E. Cady
Optimal Occulter Design for Finding Extrasolar Planets
14 pages, 4 figures, 15 subfigures
Astrophys.J.665:794-798,2007
10.1086/519452
null
astro-ph
null
One proposed method for finding terrestrial planets around nearby stars is to use two spacecraft--a telescope and a specially shaped occulter that is specifically designed to prevent all but a tiny fraction of the starlight from diffracting into the telescope. As the cost and observing cadence for such a mission will be driven largely by the separation between the two spacecraft, it is critically important to design an occulter that can meet the observing goals while flying as close to the telescope as possible. In this paper, we explore this tradeoff between separation and occulter diameter. More specifically, we present a method for designing the shape of the outer edge of an occulter that is as small as possible and gives a shadow that is deep enough and large enough for a 4m telescope to survey the habitable zones of many stars for Earth-like planets. In particular, we show that in order for a 4m telescope to detect in broadband visible light a planet 0.06 arcseconds from a star shining $10^{10}$ times brighter than the planet requires a specially-shaped occulter 50m in diameter positioned about $72,000$ km in front of the telescope.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 07:49:09 GMT" } ]
2009-06-23T00:00:00
[ [ "Vanderbei", "R. J.", "" ], [ "Kasdin", "N. J.", "" ], [ "Cady", "E.", "" ] ]
0704.3489
Pascal Degiovanni
Valentin Bonzom (Phys-ENS), Hichem Bouzidi (Phys-ENS), Pascal Degiovanni (Phys-ENS, BU-PHYS)
Dissipative dynamics of circuit-QED in the mesoscopic regime
10 figures, 1 table
European Physical Journal D 1, 47 (2008) 133
10.1140/epjd/e2008-00039-9
null
quant-ph cond-mat.mes-hall
null
We investigate the behavior of a circuit QED device when the resonator is initially populated with a mesoscopic coherent field. The strong coupling between the cavity and the qubit produces an entangled state involving mesoscopic quasi-pointer states with respect to cavity dissipation. The overlap of the associated field components results in collapse and revivals for the Rabi oscillation. Although qubit relaxation and dephasing do not preserve these states, a simple analytical description of the dissipative dynamics of the circuit QED device including cavity relaxation as well as qubit dissipation is obtained from the Monte-Carlo approach. Explicit predictions for the spontaneous and induced Rabi oscillation signals are derived and sucessfully compared with exact calculations. We show that these interesting effects could be observed with a 10 photon field in forthcoming circuit QED experiments.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 07:57:20 GMT" } ]
2008-04-16T00:00:00
[ [ "Bonzom", "Valentin", "", "Phys-ENS" ], [ "Bouzidi", "Hichem", "", "Phys-ENS" ], [ "Degiovanni", "Pascal", "", "Phys-ENS, BU-PHYS" ] ]
0704.3490
Rossella Cassano
R. Cassano, G. Brunetti, G. Setti, F. Govoni, K. Dolag
New scaling relations in cluster radio halos and the re-acceleration model
11 pages, 12 figures, accepted for publication in MNRAS
Mon.Not.Roy.Astron.Soc.378:1565-1574,2007
10.1111/j.1365-2966.2007.11901.x
null
astro-ph
null
In this paper we derive new expected scaling relations for clusters with giant radio halos in the framework of the re-acceleration scenario in a simplified, but physically motivated, form, namely: radio power (P_R) vs size of the radio emitting region (R_H), and P_R vs total cluster mass (M_H) contained in the emitting region and cluster velocity dispersion (sigma_H) in this region. We search for these correlations by analyzing the most recent radio and X-ray data available in the literature for a well known sample of clusters with giant radio halos. In particular we find a good correlation between P_R and R_H and a very tight ``geometrical'' scaling between M_H and R_H. From these correlations P_R is also expected to scale with M_H and sigma_H and this is confirmed by our analysis. We show that all the observed trends can be well reconciled with expectations in the case of a slight variation of the mean magnetic field strength in the radio halo volume with M_H. A byproduct correlation between R_H and sigma_H is also found, and can be further tested by optical studies. In addition, we find that observationally R_H scales non-linearly with the virial radius of the host cluster, and this immediately means that the fraction of the cluster volume which is radio emitting increases with cluster mass and thus that the non-thermal component in clusters is not self-similar.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 07:59:10 GMT" } ]
2009-06-23T00:00:00
[ [ "Cassano", "R.", "" ], [ "Brunetti", "G.", "" ], [ "Setti", "G.", "" ], [ "Govoni", "F.", "" ], [ "Dolag", "K.", "" ] ]
0704.3491
Masanori Iye Prof.
M.Iye, M.Tanaka, M.Yanagisawa, N.Ebizuka, K.Ohnishi, C.Hirose, N.Asami, Y.Komiyama, and H.Furusawa
SuprimeCam Observation of Sporadic Meteors during Perseids 2004
14 pages, 13 figures, 5 tables, submitted to PASJ
null
10.1093/pasj/59.4.841
null
astro-ph
null
We report the serendipitous findings of 13 faint meteors and 44 artificial space objects by Subaru SuprimeCam imaging observations during 11-16 August 2004. The meteors, at about 100km altitude, and artificial satellites/debris in orbit, at 500km altitude or higher, were clearly discriminated by their apparent defocused image sizes. CCD photometry of the 13 meteors, including 1 Perseid, 1 Aquarid, and 11 sporadic meteors, was performed. We defined a peak video-rate magnitude by comparing the integrated photon counts from the brightest portion of the track traversed within 33ms to those from a 0-mag star during the same time duration. This definition gives magnitudes in the range 4.0< V_{vr} <6.4 and 4.1< I_{vr}<5.9 for these 13 meteors. The corresponding magnitude for virtual naked-eye observers could be somewhat fainter especially for the V-band observation, in which the [OI] 5577 line lasting about 1 sec as an afterglow could contribute to the integrated flux of the present 5-10 min CCD exposures. Although the spatial resolution is insufficient to resolve the source size of anything smaller than about 1 m, we developed a new estimate of the collisionally excited column diameter of these meteors. A diameter as small as a few mm was derived from their collisionally excited photon rates, meteor speed, and the volume density of the oxygen atoms at the 100km altitude. The actual column diameter of the radiating zone, however, could be as large as few 100m because the excited atoms travel that distance before they emit forbidden lines in 0.7 sec of its average lifetime. Among the 44 artificial space objects, we confirmed that 17 were cataloged satellites/space debris.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 07:59:24 GMT" } ]
2015-05-13T00:00:00
[ [ "Iye", "M.", "" ], [ "Tanaka", "M.", "" ], [ "Yanagisawa", "M.", "" ], [ "Ebizuka", "N.", "" ], [ "Ohnishi", "K.", "" ], [ "Hirose", "C.", "" ], [ "Asami", "N.", "" ], [ "Komiyama", "Y.", "" ], [ "Furusawa", "H.", "" ] ]
0704.3492
Roberto Caimmi
R. Caimmi
Holes within galaxies: the egg or the hen?
60 pages, 6 Figures, improved version with additional computations (2 new figures) related to a generalized hole-dark halo mass relation, appendix c new, and additional references
New Astron.13:261-284,2008
10.1016/j.newast.2007.10.005
null
astro-ph
null
Unsustained matter distributions unescapely collapse unless fragmentation and centrifugal or pressure support take place. Starting from the above evidence, supermassive compact objects at the centre of large-mass galaxies are conceived as the end-product of the gravitational collapse of local density maxima around which overdensities are located. At the beginning of evolution, local density maxima are idealized as homogeneous peaks, while the surrounding envelopes are described by a power-law density profile. The dependence of the density profile on a second parameter, chosen to be the ratio between peak and total mass, is analysed. Overdensity evolution is discussed in the context of quintessence cosmological models and further investigation is devoted to a special case with the aim to describe the central collapse. An empirical relation between hole and dark halo mass is translated into a dependence of the fractional hole mass on the overdensity mass. Computations are performed up to the end of central collapse, and density profiles of related configurations are determined together with additional parameters. The central collapse is completed in early times, no longer than a few hundredths of Gyr, which implies hole formation when proto-haloes, proto-bulges, and proto-disks are still expanding or contracting. No appreciable change in evolution is found with regard to different mean peak heights related to equal masses. On the other hand, it is recognized that homogeneous peaks collapse ``faster'' with respect to surroundings envelopes, in low-mass than in large-mass overdensities. In conclusion, it is inferred that gravitational collapse of homogeneous peaks within overdensities may be a viable mechanism for hole generation.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 08:02:53 GMT" }, { "version": "v2", "created": "Tue, 21 Aug 2007 08:32:47 GMT" } ]
2009-06-23T00:00:00
[ [ "Caimmi", "R.", "" ] ]
0704.3493
Lei Liu
Lei Liu, Gang Bao, Wei-Tou Ni, D N A Shaul
Simulation of ASTROD I test mass charging due to solar energetic particles
10 pages,8 figures, COSPAR2006 H0.1-1, submitted
null
null
null
astro-ph
null
As ASTROD I travels through space, its test mass will accrue charge due to galactic cosmic-rays and solar energetic particles incident on the spacecraft. This test mass charge will result in Coulomb forces between the test mass and the surrounding electrodes. In earlier work using the GEANT4 toolkit, we predicted a net charging rate of nearly 9.0 +e/s from cosmic-ray protons between 0.1 and 1000 GeV at solar maximum, and rising to 26.5 +e/s at solar minimum. Here we use GEANT4 to simulate the charging process due to solar energetic particle events and to estimate the magnitude of acceleration noise due to this charging. The predicted charging rates range from 2840 to 64300 +e/s, at peak intensity, for the 4 largest SEP events in September and October 1989. For the 2 larger events, the acceleration disturbances due to charging exceeds the ASTROD I acceleration noise budget requirement. Continuous discharge should be considered for suppressing this charging noise. The acceleration noise during the 2 small events is well below the design target, although during these events, the net charging rate will be dominated by these solar fluxes.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 08:07:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Liu", "Lei", "" ], [ "Bao", "Gang", "" ], [ "Ni", "Wei-Tou", "" ], [ "Shaul", "D N A", "" ] ]
0704.3494
Victor Ginzburg
Michael Finkelberg and Victor Ginzburg
Cherednik algebras for algebraic curves
final version
null
null
null
math.RT math.QA
null
For any smooth algebraic curve C, Pavel Etingof introduced a `global' Cherednik algebra as a natural deformation of the cross product of the algebra of differential operators on C^n and the symmetric group. We provide a construction of the global Cherednik algebra in terms of quantumn Hamiltonian reduction. We study a category of character D-modules on a representation scheme associated to C and define a Hamiltonian reduction functor from that category to category O for the global Cherednik algebra. In the special case where the curve C is the multiplicative group, the global Cherednik algebra reduces to the trigonometric Cherednik algebra of type A, and our character D-modules become holonomic D-modules on GL_n \times C^n. The corresponding perverse sheaves are reminiscent of (and include as special cases) Lusztig's character sheaves.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 08:10:04 GMT" }, { "version": "v2", "created": "Tue, 28 Aug 2007 17:43:58 GMT" }, { "version": "v3", "created": "Wed, 16 Apr 2008 16:48:05 GMT" } ]
2008-04-16T00:00:00
[ [ "Finkelberg", "Michael", "" ], [ "Ginzburg", "Victor", "" ] ]
0704.3495
Ting-Wai Chiu
TWQCD Collaboration: Ting-Wai Chiu, Tung-Han Hsieh
Bs and Bc mesons in lattice QCD with exact chiral symmetry
7 pages, an update of the published version in the Proceedings of Lattice 2006, Tucson, Arizona, July 23-28, 2006
PoS LAT2006:180,2007
null
NTUTH-07-505B
hep-lat hep-ph
null
We determine the masses and decay constants of the pseudoscalar mesons Bs and Bc, and also the masses of the vector mesons Bs^* and Bc^*, in quenched lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with single-plaquette action at beta = 7.2 on the 32^3 x 60 lattice, we compute point-to-point quark propagators for 33 quark masses in the range [0.01, 0.85], and measure the time-correlation functions of pseudoscalar and vector mesons. The inverse lattice spacing and the charm quark bare mass are determined using the mass and decay constant of eta_c(2980). The bare masses of s and b quarks are chosen such that the masses of the corresponding vector mesons are in good agreement with phi(1020), and Upsilon(9460) respectively. Our results are: m_{Bs} = 5385(27)(17) MeV, f_{Bs} = 253(8)(7) MeV, m_{Bc} = 6278(6)(4) MeV, f_{Bc} = 489(4)(3) MeV, m_{Bs^*} = 5424(28)(19) MeV, and m_{Bc^*} = 6315(6)(5) MeV.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 08:19:37 GMT" }, { "version": "v2", "created": "Sun, 29 Apr 2007 06:23:33 GMT" } ]
2011-02-16T00:00:00
[ [ "TWQCD Collaboration", "", "" ], [ "Chiu", "Ting-Wai", "" ], [ "Hsieh", "Tung-Han", "" ] ]
0704.3496
Frank Gurski
Frank Gurski
Polynomial algorithms for protein similarity search for restricted mRNA structures
10 Pages
null
null
null
cs.DS cs.CC
null
In this paper we consider the problem of computing an mRNA sequence of maximal similarity for a given mRNA of secondary structure constraints, introduced by Backofen et al. in [BNS02] denoted as the MRSO problem. The problem is known to be NP-complete for planar associated implied structure graphs of vertex degree at most 3. In [BFHV05] a first polynomial dynamic programming algorithms for MRSO on implied structure graphs with maximum vertex degree 3 of bounded cut-width is shown. We give a simple but more general polynomial dynamic programming solution for the MRSO problem for associated implied structure graphs of bounded clique-width. Our result implies that MRSO is polynomial for graphs of bounded tree-width, co-graphs, $P_4$-sparse graphs, and distance hereditary graphs. Further we conclude that the problem of comparing two solutions for MRSO is hard for the class of problems which can be solved in polynomial time with a number of parallel queries to an oracle in NP.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 08:30:14 GMT" } ]
2007-05-23T00:00:00
[ [ "Gurski", "Frank", "" ] ]
0704.3497
Andrzej Opanowicz Dr
A. Opanowicz
Analysis of thermally stimulated luminescence and conductivity without quasiequilibrium approximation
null
null
10.1088/0022-3727/40/16/034
null
nlin.SI
null
Thermally stimulated luminescence (TSL) and conductivity (TSC) are considered using the classical insulator model that assumes one kind of the active trap, one kind of inactive deep trap, and one kind of the recombination center. Kinetic equations describing the model are solved numerically without and with the use of the quasiequilibrium (QE) approximation. The QE state parameter qI,, the relative recombination probability g, and a new parameter called quasi-stationary (QS) state parameter q*=qIg are used for the analysis of the TSL and TSC. The TSL and TSC curves and the temperature dependences of qI, q*, g, the recombination lifetime, and the occupancies of active traps and recombination centers are numerically calculated for five sets of kinetic parameters and different heating rates. These calculation results show that: (1) the upper limit of the heating rate for presence of the QS state appears at higher heating rate than that for the QE state when the retrapping process is present, and (2) the TSL (TSC) curves in the QS state have the properties similar to those for the TSL (TSC) curves in the QE state. Approximate formulas for calculation of the parameters qI and q* in the initial range of the TSL and TSC curves are derived and used in the heating-rate methods, proposed in this work, for determination of those parameters from the calculated TSL curves.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 15:19:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Opanowicz", "A.", "" ] ]
0704.3498
Alexander E. Dorokhov
Alexander E. Dorokhov, Mikhail A. Ivanov
Rare decay pi0 -> e+e-: theory confronts KTeV data
7 pages, 1 figure
Phys.Rev.D75:114007,2007
10.1103/PhysRevD.75.114007
null
hep-ph hep-ex
null
Within the dispersive approach to the amplitude of the rare decay pi0 -> e+e- the nontrivial dynamics is contained only in the subtraction constant. We express this constant, in the leading order in (m_e/\Lambda)^2 perturbative series, in terms of the inverse moment of the pion transition form factor given in symmetric kinematics. By using the CELLO and CLEO data on the pion transition form factor given in asymmetric kinematics the lower bound on the decay branching ratio is found. The restrictions following from QCD allow us to make a quantitative prediction for the branching B(pi0 -> e+e-) =(6.2\pm 0.1)*10^{-8} which is 3\sigma below the recent KTeV measurement. We confirm our prediction by using the quark models and phenomenological approaches based on the vector meson dominance. The decays \eta -> l^+l^- are also discussed.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 09:09:35 GMT" }, { "version": "v2", "created": "Fri, 25 May 2007 12:43:02 GMT" } ]
2008-11-26T00:00:00
[ [ "Dorokhov", "Alexander E.", "" ], [ "Ivanov", "Mikhail A.", "" ] ]
0704.3499
Francois Labourie
Thomas Delzant (IRMA), Olivier Guichard (LM-Orsay), Fran\c{c}ois Labourie (LM-Orsay), Shahar Mozes
Well displacing representations and orbit maps
null
null
null
null
math.GT math.GR
null
We discuss in this article a property of action of groups by isometries called "well displacing". An action is said to be well displacing, if the displacement function is equivalent to the the displacement function for the action on the Cayley graph. We relate this property with the fact that orbit maps are quasi-isometric embeddings. We first describe countrexamples that shows this two notions are unrelated in general. On the other hand we explain that for a certain class of groups -- in particular hyperbolic groups -- these two properties are equivalent. In the course of our discussion, we introduce an intrinsic property of the group -- that we called the U-property -- which says quantitatively how the norm an element is controlled by the translation length of finitely many related conjugacy classes. This property play a central role in our discussion.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 09:01:22 GMT" } ]
2007-05-23T00:00:00
[ [ "Delzant", "Thomas", "", "IRMA" ], [ "Guichard", "Olivier", "", "LM-Orsay" ], [ "Labourie", "François", "", "LM-Orsay" ], [ "Mozes", "Shahar", "" ] ]
0704.3500
Jerome Darmont
Zhen He, J\'er\^ome Darmont (ERIC)
Une plate-forme dynamique pour l'\'evaluation des performances des bases de donn\'ees \`a objets
20 pages
19\`emes Journ\'ees de Bases de Donn\'ees Avanc\'ees (BDA 03), Lyon (20/10/2003) 423-442
null
null
cs.DB
null
In object-oriented or object-relational databases such as multimedia databases or most XML databases, access patterns are not static, i.e., applications do not always access the same objects in the same order repeatedly. However, this has been the way these databases and associated optimisation techniques such as clustering have been evaluated up to now. This paper opens up research regarding this issue by proposing a dynamic object evaluation framework (DOEF). DOEF accomplishes access pattern change by defining configurable styles of change. It is a preliminary prototype that has been designed to be open and fully extensible. Though originally designed for the object-oriented model, it can also be used within the object-relational model with few adaptations. Furthermore, new access pattern change models can be added too. To illustrate the capabilities of DOEF, we conducted two different sets of experiments. In the first set of experiments, we used DOEF to compare the performances of four state of the art dynamic clustering algorithms. The results show that DOEF is effective at determining the adaptability of each dynamic clustering algorithm to changes in access pattern. They also led us to conclude that dynamic clustering algorithms can cope with moderate levels of access pattern change, but that performance rapidly degrades to be worse than no clustering when vigorous styles of access pattern change are applied. In the second set of experiments, we used DOEF to compare the performance of two different object stores: Platypus and SHORE. The use of DOEF exposed the poor swapping performance of Platypus.
[ { "version": "v1", "created": "Thu, 26 Apr 2007 09:10:41 GMT" } ]
2007-05-23T00:00:00
[ [ "He", "Zhen", "", "ERIC" ], [ "Darmont", "Jérôme", "", "ERIC" ] ]