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0707.0630
Oliver Burmeister
A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel
Demonstration of 3-port grating phase relations
null
Optics Letters 31, 2384 (2006)
10.1364/OL.31.002384
null
physics.optics
null
We experimentally demonstrate the phase relations of 3-port gratings by investigating 3-port coupled Fabry-Perot cavities. Two different gratings which have the same 1st order diffraction efficiency but differ substantially in their 2nd order diffraction efficiency have been designed and manufactured. Using the gratings as couplers to Fabry-Perot cavities we could validate the results of an earlier theoretical description of the phases at a three port grating.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 14:56:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Bunkowski", "A.", "" ], [ "Burmeister", "O.", "" ], [ "Danzmann", "K.", "" ], [ "Schnabel", "R.", "" ] ]
0707.0631
Igor Tralle
I. Tralle, W. Pasko
On the environmental decoherence and spin interference in mesoscopic loop structures
null
Physica E: Low-dimensional systems and nanostructures, vol.19,pp.336-348 (2003)
10.1016/S1386-9477(03)00378-3
null
cond-mat.mes-hall cond-mat.other
null
Mechanisms of 'environmental decoherence' such as surface scattering, Elliot-Yafet process and precession mechanisms, as well as their influence on the spin phase relaxation are considered and compared. It is shown that the 'spin ballistic' regime is possible, when the phase relaxation length for the spin part of the wave function (WF)is much greater than the phase relaxation length for the 'orbital part'. In the presence of an additional magnetic field, the spin part of the electron's WF acquires a phase shift due to additional spin precession about that field. If the structure length is chosen to be greater than the phase relaxation length for the 'orbital part' and less than the phase relaxation length for the spin part of WF, it is possible to 'wash out' the quantum interference related to the phase coherence of the 'orbital part' of the WF, retaining at the same time that related to the phase coherence of the spin part and, hence, to reveal corresponding conductance oscillations.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:00:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Tralle", "I.", "" ], [ "Pasko", "W.", "" ] ]
0707.0632
Verena Kleinhaus
Verena Kleinhaus, Michael Buballa, Dominik Nickel, Micaela Oertel
Pseudoscalar Goldstone bosons in the color-flavor locked phase at moderate densities
18 pages, 12 figures
Phys.Rev.D76:074024,2007
10.1103/PhysRevD.76.074024
null
hep-ph nucl-th
null
The properties of the pseudoscalar Goldstone bosons in the color-flavor locked phase at moderate densities are studied within a model of the Nambu--Jona-Lasinio type. The Goldstone bosons are constructed explicitly by solving the Bethe-Salpeter equation for quark-quark scattering in random phase approximation. Main focus of our investigations are (i) the weak decay constant in the chiral limit, (ii) the masses of the flavored (pseudo-) Goldstone bosons for non-zero but equal quark masses, (iii) their masses and effective chemical potentials for non-equal quark masses, and (iv) the onset of kaon condensation. We compare our results with the predictions of the low-energy effective field theory. The deviations from results obtained in the weak-coupling limit are discussed in detail.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:02:12 GMT" } ]
2008-11-26T00:00:00
[ [ "Kleinhaus", "Verena", "" ], [ "Buballa", "Michael", "" ], [ "Nickel", "Dominik", "" ], [ "Oertel", "Micaela", "" ] ]
0707.0633
Michel Tytgat
Thomas Hambye and Michel H.G. Tytgat
Electroweak Symmetry Breaking induced by Dark Matter
4 pages, no figure, one table
Phys.Lett.B659:651-655,2008
10.1016/j.physletb.2007.11.069
ULB-TH/07-26
hep-ph
null
The mechanism behind Electroweak Symmetry Breaking (EWSB) and the nature of dark matter (DM) are currently among the most important issues in high energy physics. Since a natural dark matter candidate is a weakly interacting massive particle or WIMP, with mass around the electroweak scale, it is clearly of interest to investigate the possibility that DM and EWSB are closely related. In the context of a very simple extension of the Standard Model, the Inert Doublet Model, we show that dark matter could play a crucial role in the breaking of the electroweak symmetry. In this model, dark matter is the lightest component of an inert scalar doublet. The coupling of the latter with the Standard Model Higgs doublet breaks the electroweak symmetry at one-loop, "a la Coleman-Weinberg". The abundance of dark matter, the breaking of the electroweak symmetry and the constraints from electroweak precision measurements can all be accommodated by imposing an (exact or approximate) custodial symmetry.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:06:23 GMT" } ]
2008-11-26T00:00:00
[ [ "Hambye", "Thomas", "" ], [ "Tytgat", "Michel H. G.", "" ] ]
0707.0634
Antoaneta Antonova
A. Antonova, J.G. Doyle, G. Hallinan, A. Golden, C. Koen
Sporadic Long-term Variability in Radio Activity from a Brown Dwarf
7 pages, 2 figures, 1 table, accepted for publication in A&A Letters
null
10.1051/0004-6361:20077231
null
astro-ph
null
Radio activity has been observed in a large variety of stellar objects, including in the last few years, ultra-cool dwarfs. To explore the extent of long-term radio activity in ultra-cool dwarfs, we use data taken over an extended period of 9 hr from the Very Large Array of the source 2MASS J05233822-1403022 in September 2006, plus data taken in 2004. The observation taken in September 2006 failed to detect any radio activity at 8.46 GHz. A closer inspection of earlier data reveals that the source varied from a null detection on 3 May 2004, to $\approx$95 $\mu$Jy on 17 May 2004, to 230 $\mu$Jy on 18 June 2004. The lack of detection in September 2006 suggests at least a factor of ten flux variability at 8.46 GHz. Three short photometric runs did not reveal any optical variability. In addition to the observed pulsing nature of the radio flux from another ultra-cool source, the present observations suggests that ultra-cool dwarfs may not just be pulsing but can also display long-term sporadic variability in their levels of quiescent radio emission. The lack of optical photometric variability suggests an absence of large-scale spots at the time of the latest VLA observations, although small very high latitude spots combined with a low inclination could cause very low amplitude rotational modulation which may not be measurable. We discuss this large variability in the radio emission within the context of both gyrosynchrotron emission and the electron-cyclotron maser, favoring the latter mechanism.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:06:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Antonova", "A.", "" ], [ "Doyle", "J. G.", "" ], [ "Hallinan", "G.", "" ], [ "Golden", "A.", "" ], [ "Koen", "C.", "" ] ]
0707.0635
E. Canessa
E. Canessa
Possible Connection between Probability, Spacetime Geometry and Quantum Mechanics
in press
PhysicaA385:185-190,2007
10.1016/j.physa.2007.06.006
null
gr-qc cond-mat.other quant-ph
null
Following our discussion [Physica A, 375 (2007) 123] to associate an analogous probabilistic description with spacetime geometry in the Schwarzschild metric from the macro- to the micro-domain, we argue that there is a possible connection among normalized probabilities, spacetime geometry (in the form of Schwarzschild radii) and quantum mechanics (in the form of complex wave functions). We show how this association along different (n)-nested surfaces --representing curve space due to an inhomogeneous density of matter-- preserves the postulates of quantum mechanics at different geometrical scales.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:26:17 GMT" } ]
2008-11-26T00:00:00
[ [ "Canessa", "E.", "" ] ]
0707.0636
Luca Silvestrini
UTfit Collaboration: M. Bona, M. Ciuchini, E. Franco, V. Lubicz, G. Martinelli, F. Parodi, M. Pierini, P. Roudeau, C. Schiavi, L. Silvestrini, V. Sordini, A. Stocchi, V. Vagnoni
Model-independent constraints on Delta F=2 operators and the scale of New Physics
32 pages, 11 figures, 6 tables. v2: error in the implementation of D0 untagged Bs->J/Psi phi correlation matrix corrected. Improved presentation of the results and discussion of ambiguities in untagged Bs->J/Psi phi. Results for NP in Bs oscillations changed. Final version to appear in JHEP
JHEP 0803:049,2008
10.1088/1126-6708/2008/03/049
null
hep-ph
null
We update the constraints on new-physics contributions to Delta F=2 processes from the generalized unitarity triangle analysis, including the most recent experimental developments. Based on these constraints, we derive upper bounds on the coefficients of the most general Delta F=2 effective Hamiltonian. These upper bounds can be translated into lower bounds on the scale of new physics that contributes to these low-energy effective interactions. We point out that, due to the enhancement in the renormalization group evolution and in the matrix elements, the coefficients of non-standard operators are much more constrained than the coefficient of the operator present in the Standard Model. Therefore, the scale of new physics in models that generate new Delta F=2 operators, such as next-to-minimal flavour violation, has to be much higher than the scale of minimal flavour violation, and it most probably lies beyond the reach of direct searches at the LHC.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:09:14 GMT" }, { "version": "v2", "created": "Fri, 29 Feb 2008 10:36:23 GMT" } ]
2011-03-23T00:00:00
[ [ "UTfit Collaboration", "", "" ], [ "Bona", "M.", "" ], [ "Ciuchini", "M.", "" ], [ "Franco", "E.", "" ], [ "Lubicz", "V.", "" ], [ "Martinelli", "G.", "" ], [ "Parodi", "F.", "" ], [ "Pierini", "M.", "" ], [ "Roudeau", "P.", "" ], [ "Schiavi", "C.", "" ], [ "Silvestrini", "L.", "" ], [ "Sordini", "V.", "" ], [ "Stocchi", "A.", "" ], [ "Vagnoni", "V.", "" ] ]
0707.0637
Antti Manninen
Antti Manninen, Anu Karkkainen, Nadine Pesonen, Aarne Oja, and Heikki Seppa
Microelectromechanical components in electrical metrology
null
A. Manninen, A. Karkkainen, N. Pesonen, A. Oja, and H. Seppa, Applications des MEMS a la metrologie electrique. Techniques de l Ingenieur, traite Mesures et Controle, juin 2007. R 1002, 12 pages (in French)
null
null
physics.ins-det
null
Microelectromechanical systems (MEMS) can offer a competitive alternative for conventional technology in electrical precision measurements. This article summarises recent work in development of MEMS solutions for electrical metrology. MEMS-based voltage references, RMS-to-DC converters, high frequency power sensors, and reference oscillators are discussed. The main principle of operation of the components is the balance between electrical forces and mechanical spring forces in micromachined silicon structures. In RMS sensors and RMS-to-DC converters, the quadratic voltage dependence of the force between plates of a moving-plate capacitor is utilised, and the operation of the MEMS voltage reference is based on the pull-in phenomenon of a moving-plate capacitor. Advantages of MEMS devices compared to more conventional solutions include small size, low power consumption, low price in mass production, and stability. The drift caused by electrostatic charging effects has turned out to be a major problem. This problem has not yet been solved in DC applications, but it can be circumvented by using AC actuation instead of DC and by compensating the internal DC voltages of the component. In this way, an AC voltage reference with relative drift rate below 2 ppm during a three-week test period has been constructed. Even better stability has been demonstrated with a MEMS-based reference oscillator: no changes in resonance frequency were observed at relative uncertainty level of about 0.01 ppm in a measurement which was continued for more than a month. MEMS components have also been developed for measuring RF and microwave power up to frequencies of about 40 GHz. Unlike conventional high frequency power sensors, which measure the absorbed power, the MEMS device measures the power that is transmitted through the sensor.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:18:29 GMT" } ]
2007-07-05T00:00:00
[ [ "Manninen", "Antti", "" ], [ "Karkkainen", "Anu", "" ], [ "Pesonen", "Nadine", "" ], [ "Oja", "Aarne", "" ], [ "Seppa", "Heikki", "" ] ]
0707.0638
Valentina Cannelli Dr
V. Cannelli, D. Melini, P. De Michelis, A. Piersanti, F. Florindo
Core-mantle boundary deformations and J2 variations resulting from the 2004 Sumatra earthquake
14 pages, 8 figures, 1 table. It will appear in Geophysical Journal International
null
10.1111/j.1365-246X.2007.03443.x
null
physics.geo-ph
null
The deformation at the core-mantle boundary produced by the 2004 Sumatra earthquake is investigated by means of a semi-analytic theoretical model of global coseismic and postseismic deformation, predicting a millimetric coseismic perturbation over a large portion of the core-mantle boundary. Spectral features of such deformations are analysed and discussed. The time-dependent postseismic evolution of the elliptical part of the gravity field (J2) is also computed for different asthenosphere viscosity models. Our results show that, for asthenospheric viscosities smaller than 10^18 Pa s, the postseismic J2 variation in the next years is expected to leave a detectable signal in geodetic observations.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:26:28 GMT" } ]
2007-07-05T00:00:00
[ [ "Cannelli", "V.", "" ], [ "Melini", "D.", "" ], [ "De Michelis", "P.", "" ], [ "Piersanti", "A.", "" ], [ "Florindo", "F.", "" ] ]
0707.0639
Francesco Cordero
F. Cordero
Hopping and clustering of oxygen vacancies in SrTiO3 by anelastic relaxation
4 pages, 4 figures, submitted to Phys. Rev. Lett
Phys. Rev. B 76, 172106 (2007)
10.1103/PhysRevB.76.172106
null
cond-mat.mtrl-sci cond-mat.stat-mech
null
The complex elastic compliance s11(w,T) of SrTiO3-d has been measured as a function of the O deficiency d < 0.01. The two main relaxation peaks in the absorption are identified with hopping of isolated O vacancies over a barrier of 0.60 eV and reorientation of pairs of vacancies involving a barrier of 1 eV. The pair binding energy is ~0.2 eV and indications for additional clustering, possibly into chains, is found already at d ~0.004. The anistropic component of the elastic dipole of an O vacancy is Deltalambda = 0.026.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:29:07 GMT" } ]
2010-07-23T00:00:00
[ [ "Cordero", "F.", "" ] ]
0707.0640
Carlos Rascon
A.O. Parry, C. Rascon, N.R. Bernardino, J.M. Romero-Enrique
Derivation of a Non-Local Interfacial Hamiltonian for Short-Ranged Wetting II: General Diagrammatic Structure
(14 pages, 2 figures) Submitted J. Phys. Condens. Matter
null
10.1088/0953-8984/19/41/416105
null
cond-mat.stat-mech cond-mat.soft
null
In our first paper, we showed how a non-local effective Hamiltionian for short-ranged wetting may be derived from an underlying Landau-Ginzburg-Wilson model. Here, we combine the Green's function method with standard perturbation theory to determine the general diagrammatic form of the binding potential functional beyond the double-parabola approximation for the Landau-Ginzburg-Wilson bulk potential. The main influence of cubic and quartic interactions is simply to alter the coefficients of the double parabola-like zig-zag diagrams and also to introduce curvature and tube-interaction corrections (also represented diagrammatically), which are of minor importance. Non-locality generates effective long-ranged many-body interfacial interactions due to the reflection of tube-like fluctuations from the wall. Alternative wall boundary conditions (with a surface field and enhancement) and the diagrammatic description of tricritical wetting are also discussed.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:30:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Parry", "A. O.", "" ], [ "Rascon", "C.", "" ], [ "Bernardino", "N. R.", "" ], [ "Romero-Enrique", "J. M.", "" ] ]
0707.0641
Sebastien Verel
S\'ebastien Verel (I3S), Philippe Collard (I3S), Manuel Clergue (I3S)
Where are Bottlenecks in NK Fitness Landscapes?
null
Evolutionary Computation, 2003. CEC'03 (08/12/2003) 273--280
10.1109/CEC.2003.1299585
null
cs.NE
null
Usually the offspring-parent fitness correlation is used to visualize and analyze some caracteristics of fitness landscapes such as evolvability. In this paper, we introduce a more general representation of this correlation, the Fitness Cloud (FC). We use the bottleneck metaphor to emphasise fitness levels in landscape that cause local search process to slow down. For a local search heuristic such as hill-climbing or simulated annealing, FC allows to visualize bottleneck and neutrality of landscapes. To confirm the relevance of the FC representation we show where the bottlenecks are in the well-know NK fitness landscape and also how to use neutrality information from the FC to combine some neutral operator with local search heuristic.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:30:54 GMT" } ]
2007-07-05T00:00:00
[ [ "Verel", "Sébastien", "", "I3S" ], [ "Collard", "Philippe", "", "I3S" ], [ "Clergue", "Manuel", "", "I3S" ] ]
0707.0642
Yannick Ponty
Julien Baerenzung (OCA), Helene Politano (OCA), Yannick Ponty (OCA), Annick Pouquet (NCAR)
Spectral Modeling of Turbulent Flows and the Role of Helicity
null
null
10.1103/PhysRevE.77.046303
null
physics.flu-dyn physics.class-ph
null
We present a new version of a dynamical spectral model for Large Eddy Simulation based on the Eddy Damped Quasi Normal Markovian approximation \cite{sao,chollet_lesieur}. Three distinct modifications are implemented and tested. On the one hand, whereas in current approaches, a Kolmogorov-like energy spectrum is usually assumed in order to evaluate the nonlocal transfer, in our method the energy spectrum of the subgrid scales adapts itself dynamically to the large-scale resolved spectrum; this first modification allows in particular for a better treatment of transient phases and instabilities, as shown on one specific example. Moreover, the model takes into account the phase relationships of the small-scales, embodied for example in strong localized structures such as vortex filaments. To that effect, phase information is implemented in the treatment of the so-called eddy noise in the closure model. Finally, we also consider the role that helical small scales may play in the evaluation of the transfer of energy and helicity, the two invariants of the primitive equations in the inviscid case; this leads as well to intrinsic variations in the development of helicity spectra. Therefore, our model allows for simulations of flows for a variety of circumstances and a priori at any given Reynolds number. Comparisons with Direct Numerical Simulations of the three-dimensional Navier-Stokes equation are performed on fluids driven by an ABC (Beltrami) flow which is a prototype of fully helical flows. Good agreements are obtained for physical and spectral behavior of the large scales.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:34:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Baerenzung", "Julien", "", "OCA" ], [ "Politano", "Helene", "", "OCA" ], [ "Ponty", "Yannick", "", "OCA" ], [ "Pouquet", "Annick", "", "NCAR" ] ]
0707.0643
Sebastien Verel
S\'ebastien Verel (I3S), Philippe Collard (I3S), Manuel Clergue (I3S)
Scuba Search : when selection meets innovation
null
Evolutionary Computation, 2004. CEC2004 (23/06/2004) 924 - 931
10.1109/CEC.2004.1330960
null
cs.NE
null
We proposed a new search heuristic using the scuba diving metaphor. This approach is based on the concept of evolvability and tends to exploit neutrality in fitness landscape. Despite the fact that natural evolution does not directly select for evolvability, the basic idea behind the scuba search heuristic is to explicitly push the evolvability to increase. The search process switches between two phases: Conquest-of-the-Waters and Invasion-of-the-Land. A comparative study of the new algorithm and standard local search heuristics on the NKq-landscapes has shown advantage and limit of the scuba search. To enlighten qualitative differences between neutral search processes, the space is changed into a connected graph to visualize the pathways that the search is likely to follow.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:36:35 GMT" } ]
2007-07-05T00:00:00
[ [ "Verel", "Sébastien", "", "I3S" ], [ "Collard", "Philippe", "", "I3S" ], [ "Clergue", "Manuel", "", "I3S" ] ]
0707.0644
Ali Akhavi
Ali Akhavi (GREYC), C\'eline Moreira (GREYC)
Another view of the Gaussian algorithm
null
Proceedings of Latin'04 (04/2004) 474--487
null
null
cs.DS cs.DM
null
We introduce here a rewrite system in the group of unimodular matrices, \emph{i.e.}, matrices with integer entries and with determinant equal to $\pm 1$. We use this rewrite system to precisely characterize the mechanism of the Gaussian algorithm, that finds shortest vectors in a two--dimensional lattice given by any basis. Putting together the algorithmic of lattice reduction and the rewrite system theory, we propose a new worst--case analysis of the Gaussian algorithm. There is already an optimal worst--case bound for some variant of the Gaussian algorithm due to Vall\'ee \cite {ValGaussRevisit}. She used essentially geometric considerations. Our analysis generalizes her result to the case of the usual Gaussian algorithm. An interesting point in our work is its possible (but not easy) generalization to the same problem in higher dimensions, in order to exhibit a tight upper-bound for the number of iterations of LLL--like reduction algorithms in the worst case. Moreover, our method seems to work for analyzing other families of algorithms. As an illustration, the analysis of sorting algorithms are briefly developed in the last section of the paper.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:37:15 GMT" } ]
2007-07-05T00:00:00
[ [ "Akhavi", "Ali", "", "GREYC" ], [ "Moreira", "Céline", "", "GREYC" ] ]
0707.0645
Christophe Denoual
L. Pillon, C. Denoual, Y.-P. Pellegrini
Equation of motion for dislocations with inertial effects
6 pages, 4 figures, LaTeX
Phys. Rev. B 76, 224105 (2007)
10.1103/PhysRevB.76.224105
null
cond-mat.mtrl-sci
null
An approximate equation of motion is proposed for screw and edge dislocations, which accounts for retardation and for relativistic effects in the subsonic range. Good quantitative agreement is found, in accelerated or in decelerated regimes, with numerical results of a more fundamental nature.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:39:20 GMT" } ]
2008-04-17T00:00:00
[ [ "Pillon", "L.", "" ], [ "Denoual", "C.", "" ], [ "Pellegrini", "Y. -P.", "" ] ]
0707.0646
Cacciatori Sergio
Sergio Cacciatori, Francesco Dalla Piazza
Two loop superstring amplitudes and S_6 representations
10 pages, comments and reference added in the conclusions
Lett.Math.Phys.83:127-138,2008
10.1007/s11005-007-0213-8
null
hep-th
null
In this paper we describe how representation theory of groups can be used to shorten the derivation of two loop partition functions in string theory, giving an intrinsic description of modular forms appearing in the results of D'Hoker and Phong [1]. Our method has the advantage of using only algebraic properties of modular functions and it can be extended to any genus g.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:44:59 GMT" }, { "version": "v2", "created": "Fri, 13 Jul 2007 13:33:54 GMT" } ]
2008-11-26T00:00:00
[ [ "Cacciatori", "Sergio", "" ], [ "Piazza", "Francesco Dalla", "" ] ]
0707.0647
Tao Xu
Tao Xu, Hai-Qiang Zhang, Ya-Xing Zhang, Juan Li and Bo Tian
Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation
23 pages
null
10.1063/1.2825247
null
math-ph math.MP
null
The modified Kadomtsev-Petviashvili (mKP) equation is shown in this paper to be decomposable into the first two soliton equations of the 2N-coupled Chen-Lee-Liu and Kaup-Newell hierarchies by respectively nonlinearizing two sets of symmetry Lax pairs. In these two cases, the decomposed (1+1)-dimensional nonlinear systems both have a couple of different Lax representations, which means that there are two linear systems associated with the mKP equation under the same constraint between the potential and eigenfunctions. For each Lax representation of the decomposed (1+1)-dimensional nonlinear systems, the corresponding Darboux transformation is further constructed such that a series of explicit solutions of the mKP equation can be recursively generated with the assistance of symbolic computation. In illustration, four new families of solitary-wave solutions are presented and the relevant stability is analyzed.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:50:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Xu", "Tao", "" ], [ "Zhang", "Hai-Qiang", "" ], [ "Zhang", "Ya-Xing", "" ], [ "Li", "Juan", "" ], [ "Tian", "Bo", "" ] ]
0707.0648
Viswanath Nagarajan
Anupam Gupta, MohammadTaghi Hajiaghayi, Viswanath Nagarajan, R. Ravi
Dial a Ride from k-forest
Preliminary version in Proc. European Symposium on Algorithms, 2007
null
null
null
cs.DS
null
The k-forest problem is a common generalization of both the k-MST and the dense-$k$-subgraph problems. Formally, given a metric space on $n$ vertices $V$, with $m$ demand pairs $\subseteq V \times V$ and a ``target'' $k\le m$, the goal is to find a minimum cost subgraph that connects at least $k$ demand pairs. In this paper, we give an $O(\min\{\sqrt{n},\sqrt{k}\})$-approximation algorithm for $k$-forest, improving on the previous best ratio of $O(n^{2/3}\log n)$ by Segev & Segev. We then apply our algorithm for k-forest to obtain approximation algorithms for several Dial-a-Ride problems. The basic Dial-a-Ride problem is the following: given an $n$ point metric space with $m$ objects each with its own source and destination, and a vehicle capable of carrying at most $k$ objects at any time, find the minimum length tour that uses this vehicle to move each object from its source to destination. We prove that an $\alpha$-approximation algorithm for the $k$-forest problem implies an $O(\alpha\cdot\log^2n)$-approximation algorithm for Dial-a-Ride. Using our results for $k$-forest, we get an $O(\min\{\sqrt{n},\sqrt{k}\}\cdot\log^2 n)$- approximation algorithm for Dial-a-Ride. The only previous result known for Dial-a-Ride was an $O(\sqrt{k}\log n)$-approximation by Charikar & Raghavachari; our results give a different proof of a similar approximation guarantee--in fact, when the vehicle capacity $k$ is large, we give a slight improvement on their results.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 16:08:40 GMT" } ]
2007-07-05T00:00:00
[ [ "Gupta", "Anupam", "" ], [ "Hajiaghayi", "MohammadTaghi", "" ], [ "Nagarajan", "Viswanath", "" ], [ "Ravi", "R.", "" ] ]
0707.0649
Albert Guill\'en i F\`abregas
Albert Guillen i Fabregas and Emanuele Viterbo
Sphere Lower Bound for Rotated Lattice Constellations in Fading Channels
accepted for publication at the IEEE Transactions on Wireless Communications
null
null
null
cs.IT math.IT
null
We study the error probability performance of rotated lattice constellations in frequency-flat Nakagami-$m$ block-fading channels. In particular, we use the sphere lower bound on the underlying infinite lattice as a performance benchmark. We show that the sphere lower bound has full diversity. We observe that optimally rotated lattices with largest known minimum product distance perform very close to the lower bound, while the ensemble of random rotations is shown to lack diversity and perform far from it.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:56:03 GMT" } ]
2007-07-13T00:00:00
[ [ "Fabregas", "Albert Guillen i", "" ], [ "Viterbo", "Emanuele", "" ] ]
0707.0650
Alexander Bednyakov
A.V. Bednyakov
Running mass of the b-quark in QCD and SUSY QCD
33 pages, 6 figures, 1 table, typos corrected, added references)
Int.J.Mod.Phys.A22:5245-5277,2007
10.1142/S0217751X07038037
null
hep-ph
null
The running mass of the b-quark defined in DRbar-scheme is one of the important parameters of SUSY QCD. To find its value it should be related to some known experimental input. In this paper the b-quark running mass defined in nonsupersymmetric QCD is chosen for determination of corresponding parameter in SUSY QCD. The relation between these two quantities is found by considering five-flavor QCD as an effective theory obtained from its supersymmetric extension. A numerical analysis of the calculated two-loop relation and its impact on the MSSM spectrum is discussed. Since for nonsupersymmetric models MSbar-scheme is more natural than DRbar, we also propose a new procedure that allows one to calculate relations between MSbar- and DRbar-parameters. Unphysical epsilon-scalars that give rise to the difference between mentioned schemes are assumed to be heavy and decoupled in the same way as physical degrees of freedom. By means of this method it is possible to ``catch two rabbits'', i.e., decouple heavy particles and turn from DRbar to MSbar, at the same time. Explicit two-loop example of DRbar -> MSbar transition is given in the context of QCD. The advantages and disadvantages of the method are briefly discussed.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:57:59 GMT" }, { "version": "v2", "created": "Mon, 11 Feb 2008 09:21:27 GMT" } ]
2008-11-26T00:00:00
[ [ "Bednyakov", "A. V.", "" ] ]
0707.0651
Sarzi Marc
M. Sarzi, E. L. Allard, J. H. Knapen, L. M. Mazzuca
Star formation and stellar populations across nuclear rings in galaxies
15 pages, 10 figures, accepted for publication on MNRAS
null
10.1111/j.1365-2966.2007.12177.x
null
astro-ph
null
(Abridged) We present a study of the optical spectra of a sample of eight star-forming nuclear rings and the nuclei of their host galaxies. The spectra were obtained with the ISIS spectrograph on the William Herschel Telescope and cover a wide range in wavelength, enabling the measurement of several stellar absorption features and gas emission lines. We compared the strength of the absorption lines to a variety of population synthesis models for the star-formation history in the nuclear rings, including also the contribution of the older bulge and disc stellar components. We find that the stars in our sample of nuclear rings have most likely formed over a prolonged period of time characterised by episodic bursts of star-formation activity. Constant star formation is firmly ruled out by the data, whereas a one-off formation event is an unlikely explanation for a common galactic component such as nuclear rings. We have used emission-line measurements to constrain the physical conditions of the ionised gas within the rings. Emission in all nuclear rings originates from HII-regions with electron densities typical for these kinds of objects, and that the rings are characterised by values for the gas metallicity ranging from slightly below to just above solar. As 20% of nearby spiral galaxies hosts nuclear rings that are currently forming massive stars, our finding of an episodic star formation history in nuclear rings implies that a significant population remains to be identified of young nuclear rings that are not currently in a massive star formation phase.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:59:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Sarzi", "M.", "" ], [ "Allard", "E. L.", "" ], [ "Knapen", "J. H.", "" ], [ "Mazzuca", "L. M.", "" ] ]
0707.0652
Sebastien Verel
Philippe Collard (I3S), S\'ebastien Verel (I3S), Manuel Clergue (I3S)
How to use the Scuba Diving metaphor to solve problem with neutrality ?
null
ECAI'2004 (27/08/2004) 166-170
null
null
cs.NE
null
We proposed a new search heuristic using the scuba diving metaphor. This approach is based on the concept of evolvability and tends to exploit neutrality which exists in many real-world problems. Despite the fact that natural evolution does not directly select for evolvability, the basic idea behind the scuba search heuristic is to explicitly push evolvability to increase. A comparative study of the scuba algorithm and standard local search heuristics has shown the advantage and the limitation of the scuba search. In order to tune neutrality, we use the NKq fitness landscapes and a family of travelling salesman problems (TSP) where cities are randomly placed on a lattice and where travel distance between cities is computed with the Manhattan metric. In this last problem the amount of neutrality varies with the city concentration on the grid ; assuming the concentration below one, this TSP reasonably remains a NP-hard problem.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 16:12:17 GMT" } ]
2007-07-05T00:00:00
[ [ "Collard", "Philippe", "", "I3S" ], [ "Verel", "Sébastien", "", "I3S" ], [ "Clergue", "Manuel", "", "I3S" ] ]
0707.0653
Eric Ragoucy
Luc Frappat (LAPTH), Rafael Nepomechie, Eric Ragoucy (LAPTH)
Complete Bethe Ansatz solution of the open spin-s XXZ chain with general integrable boundary terms
23 pages -- Latex2e; misprints in appendix corrected
J.Stat.Mech.0709:P09009,2007
10.1088/1742-5468/2007/09/P09009
null
math-ph hep-th math.MP
null
We consider the open spin-s XXZ quantum spin chain with N sites and general integrable boundary terms for generic values of the bulk anisotropy parameter, and for values of the boundary parameters which satisfy a certain constraint. We derive two sets of Bethe Ansatz equations, and find numerical evidence that together they give the complete set of $(2s+1)^{N}$ eigenvalues of the transfer matrix. For the case s=1, we explicitly determine the Hamiltonian, and find an expression for its eigenvalues in terms of Bethe roots.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 16:14:11 GMT" }, { "version": "v2", "created": "Mon, 9 Jul 2007 12:43:13 GMT" } ]
2010-04-08T00:00:00
[ [ "Frappat", "Luc", "", "LAPTH" ], [ "Nepomechie", "Rafael", "", "LAPTH" ], [ "Ragoucy", "Eric", "", "LAPTH" ] ]
0707.0654
Osvaldo Chandia
Osvaldo Chandia, Mario Tonin
BRST Anomaly and Superspace Constraints of the Pure Spinor Heterotic String in a Curved Background
harvmac-big, 18 pages; references added; minor corrections
JHEP 0709:016,2007
10.1088/1126-6708/2007/09/016
DFPD 07/TH/13
hep-th
null
The pure spinor heterotic string in a generic super Yang-Mills and supergravity background is considered. We determine the one-loop BRST anomaly at the cohomological level. We prove that it can be absorbed by consistent corrections of the classical constraints due to Berkovits and Howe, in agreement with the Green-Schwarz cancelation mechanism.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 16:14:25 GMT" }, { "version": "v2", "created": "Wed, 11 Jul 2007 18:48:51 GMT" }, { "version": "v3", "created": "Wed, 22 Aug 2007 15:03:56 GMT" } ]
2009-04-30T00:00:00
[ [ "Chandia", "Osvaldo", "" ], [ "Tonin", "Mario", "" ] ]
0707.0655
Markus Janousch
B. P. Andreasson, M. Janousch, U. Staub, G. I. Meijer, B. Delley
Resistive Switching in Cr doped SrTiO3: An X-ray Absorption Spectroscopy study
14 pages, 4 figures, Proceedings of the E-MRS 2007 spring meeting
null
null
null
cond-mat.mtrl-sci cond-mat.str-el
null
X-ray absorption spectroscopy was used to study the microscopic origin of conductance and resistive switching in chromium doped strontium titanate (Cr:SrTiO3). Differences in the x-ray absorption near edge spectroscopy (XANES) at the Cr K-edge indicate that the valence of Cr changes from 3+ to 4+ underneath the anode of our sample device after the application of an electric field. Spatially resolved x-ray fluorescence microscopy ($\mu$-XRF) maps show that the Cr4+ region retracts from the anode-Cr:SrTiO3 interface after a conducting state has been achieved. This interface region is studied with extended x-ray absorption fine structure (EXAFS) and the results are compared with structural parameters obtained from density functional theory (DFT) calculations. They confirm that oxygen vacancies which are localized at the octahedron with a Cr at its center are introduced at the interface. It is proposed that the switching state is not due to a valence change of chromium but caused by changes of oxygen vacancies at the interface.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 16:16:47 GMT" } ]
2007-07-05T00:00:00
[ [ "Andreasson", "B. P.", "" ], [ "Janousch", "M.", "" ], [ "Staub", "U.", "" ], [ "Meijer", "G. I.", "" ], [ "Delley", "B.", "" ] ]
0707.0656
Andreas Muller
Andreas Muller, Edward B. Flagg, Pablo Bianucci, Xiaoyong Wang, Dennis G. Deppe, Wenquan Ma, Jiayu Zhang, Min Xiao, Gregory J. Salamo, and Chih-Kang Shih
Resonance fluorescence from a coherently driven semiconductor quantum dot in a cavity
5 pages, 4 figures
null
10.1103/PhysRevLett.99.187402
null
cond-mat.mtrl-sci cond-mat.other
null
We show that resonance fluorescence, i.e. the resonant emission of a coherently driven two-level system, can be realized with a semiconductor quantum dot. The dot is embedded in a planar optical micro-cavity and excited in a wave-guide mode so as to discriminate its emission from residual laser scattering. The transition from the weak to the strong excitation regime is characterized by the emergence of oscillations in the first-order correlation function of the fluorescence, g(t), as measured by interferometry. The measurements correspond to a Mollow triplet with a Rabi splitting of up to 13.3 micro eV. Second-order-correlation measurements further confirm non-classical light emission.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 16:29:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Muller", "Andreas", "" ], [ "Flagg", "Edward B.", "" ], [ "Bianucci", "Pablo", "" ], [ "Wang", "Xiaoyong", "" ], [ "Deppe", "Dennis G.", "" ], [ "Ma", "Wenquan", "" ], [ "Zhang", "Jiayu", "" ], [ "Xiao", "Min", "" ], [ "Salamo", "Gregory J.", "" ], [ "Shih", "Chih-Kang", "" ] ]
0707.0657
Aleksandrs Aleksejevs
A. Aleksejevs, S. Barkanova, P. G. Blunden, N. Deg
Electroweak Hard Photon Bremsstrahlung in Electron-Nucleon Scattering
17 pages, 2 figures, results unchanged, corrected caption for table #3
null
null
null
nucl-th
null
One way to treat the infrared divergences of the electroweak Next-to-Leading-Order (NLO) differential cross sections to parity-violating (PV) electron-proton scattering is by adding soft-photon emission contribution. Although more physical, the results are left with a logarithmic dependence on the photon detector acceptance, which can only be eliminated by considering Hard Photon Bremsstrahlung (HPB) contribution. Here we present a treatment of HPB for PV electron-proton scattering. HPB differential cross sections for electron-proton scattering have been computed using the experimental values of nucleon form factors. The final results are expressed through kinematic parameters, making it possible to apply the computed PV HPB differential cross sections for the analysis of data of a range of current and proposed experiments.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 16:30:49 GMT" }, { "version": "v2", "created": "Wed, 18 Jul 2007 14:21:40 GMT" } ]
2007-07-18T00:00:00
[ [ "Aleksejevs", "A.", "" ], [ "Barkanova", "S.", "" ], [ "Blunden", "P. G.", "" ], [ "Deg", "N.", "" ] ]
0707.0658
Thomas Vojta
Thomas Vojta and J. A. Hoyos
Quantum Phase Transitions on Percolating Lattices
10 pages, invited talk at "Recent Progress in Many-Body Theories 14"
null
10.1142/9789812779885_0030
null
cond-mat.stat-mech cond-mat.str-el
null
When a quantum many-particle system exists on a randomly diluted lattice, its intrinsic thermal and quantum fluctuations coexist with geometric fluctuations due to percolation. In this paper, we explore how the interplay of these fluctuations influences the phase transition at the percolation threshold. While it is well known that thermal fluctuations generically destroy long-range order on the critical percolation cluster, the effects of quantum fluctuations are more subtle. In diluted quantum magnets with and without dissipation, this leads to novel universality classes for the zero-temperature percolation quantum phase transition. Observables involving dynamical correlations display nonclassical scaling behavior that can nonetheless be determined exactly in two dimensions.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 16:32:36 GMT" } ]
2017-08-23T00:00:00
[ [ "Vojta", "Thomas", "" ], [ "Hoyos", "J. A.", "" ] ]
0707.0659
Yuly Billig
Yuly Billig, Alexander Molev, Ruibin Zhang
Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus
null
null
null
null
math.RT
null
We study irreducible representations for the Lie algebra of vector fields on a 2-dimensional torus constructed using the generalized Verma modules. We show that for a certain choice of parameters these representations remain irreducible when restricted to a loop subalgebra in the Lie algebra of vector fields. We prove this result by studying vertex algebras associated with the Lie algebra of vector fields on a torus and solving non-commutative differential equations that we derive using the vertex algebra technique.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 16:44:09 GMT" } ]
2007-07-05T00:00:00
[ [ "Billig", "Yuly", "" ], [ "Molev", "Alexander", "" ], [ "Zhang", "Ruibin", "" ] ]
0707.0660
Vladimir Vovk
Vladimir Vovk
Strong confidence intervals for autoregression
7 pages, 2 tables, 2 figures
null
null
null
math.ST stat.ME stat.TH
null
In this short note I apply the methodology of game-theoretic probability to calculating non-asymptotic confidence intervals for the coefficient of a simple first order scalar autoregressive model. The most distinctive feature of the proposed procedure is that with high probability it produces confidence intervals that always cover the true parameter value when applied sequentially.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 16:44:59 GMT" } ]
2011-11-10T00:00:00
[ [ "Vovk", "Vladimir", "" ] ]
0707.0661
Susana Judith Landau
Mercedes E. Mosquera, Claudia G. Scoccola, Susana J. Landau and Hector Vucetich
Time variation of the fine structure constant in the early universe and the Bekenstein model
13 pages, 8 figures,version accepted to be published in Astronomy and Astrophysics
Astron.Astrophys. 478 (2008) 675
10.1051/0004-6361:20078605
null
astro-ph gr-qc hep-ph physics.atom-ph
null
We calculate bounds on the variation of the fine structure constant at the time of primordial nucleosynthesis and at the time of neutral hydrogen formation. We use these bounds and other bounds from the late universe to test Bekenstein model. We modify the Kawano code, CAMB and CosmoMC in order to include the possible variation of the fine structure constant. We use observational primordial abundances of $\De$, $\He$ and $\Li$, recent data from the Cosmic Microwave Background and the 2dFGRS power spectrum, to obtain bounds on the variation of $\alpha$. We calculate a piecewise solution to the scalar field equation of Bekenstein model in two different regimes; i) matter and radiation, ii) matter and cosmological constant. We match both solutions with appropriate boundary conditions. We perform a statistical analysis using the bounds obtained from the early universe and other bounds from the late universe to constrain the free parameters of the model. Results are consistent with no variation of $\alpha$ in the early universe. Limits on $\alpha$ are inconsistent with the scale length of the theory $l$ being larger than Planck scale. In order to fit all observational and experimental data, the assumption $l>L_p$ implied in Bekenstein's model has to be relaxed.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:24:45 GMT" }, { "version": "v2", "created": "Thu, 12 Jul 2007 14:12:43 GMT" }, { "version": "v3", "created": "Thu, 8 Nov 2007 19:20:36 GMT" } ]
2008-03-07T00:00:00
[ [ "Mosquera", "Mercedes E.", "" ], [ "Scoccola", "Claudia G.", "" ], [ "Landau", "Susana J.", "" ], [ "Vucetich", "Hector", "" ] ]
0707.0662
Felix Ritort
M. Manosas, J.-D. Wen, P. T. X. Li, S. B. Smith, C. Bustamante, I. Tinoco, Jr., F. Ritort
Force unfolding kinetics of RNA using optical tweezers. II. Modeling experiments
PDF file, 32 pages including 9 figures plus supplementary material
Biophysical Journal, 92 (2007) 3010-3021
10.1529/biophysj.106.094243
null
physics.bio-ph cond-mat.soft cond-mat.stat-mech q-bio.BM
null
By exerting mechanical force it is possible to unfold/refold RNA molecules one at a time. In a small range of forces, an RNA molecule can hop between the folded and the unfolded state with force-dependent kinetic rates. Here, we introduce a mesoscopic model to analyze the hopping kinetics of RNA hairpins in an optical tweezers setup. The model includes different elements of the experimental setup (beads, handles and RNA sequence) and limitations of the instrument (time lag of the force-feedback mechanism and finite bandwidth of data acquisition). We investigated the influence of the instrument on the measured hopping rates. Results from the model are in good agreement with the experiments reported in the companion article (1). The comparison between theory and experiments allowed us to infer the values of the intrinsic molecular rates of the RNA hairpin alone and to search for the optimal experimental conditions to do the measurements. We conclude that long handles and soft laser traps represent the best conditions to extract rate estimates that are closest to the intrinsic molecular rates. The methodology and rationale presented here can be applied to other experimental setups and other molecules.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 15:40:05 GMT" } ]
2012-08-27T00:00:00
[ [ "Manosas", "M.", "" ], [ "Wen", "J. -D.", "" ], [ "Li", "P. T. X.", "" ], [ "Smith", "S. B.", "" ], [ "Bustamante", "C.", "" ], [ "Tinoco,", "I.", "Jr." ], [ "Ritort", "F.", "" ] ]
0707.0663
Gerd Bergmann
Gerd Bergmann, Yaqi Tao, Jia G. Lu, and Richard S. Thompson
Spacial Modulation of the Magnetization in Cobalt Nanowires
null
null
null
null
cond-mat.mes-hall cond-mat.str-el
null
Cobalt nanowires with a diameter in the range between 50 to 100nm can be prepared as single-crystal wires with the easy axis (the c-axis) perpendicular to the wire axis. The competition between the crystal anisotropy and demagnetization energy frustrates the magnetization direction. A periodic modulation of the angle between M and the wire axis yields a lower energy.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 16:56:13 GMT" } ]
2007-07-05T00:00:00
[ [ "Bergmann", "Gerd", "" ], [ "Tao", "Yaqi", "" ], [ "Lu", "Jia G.", "" ], [ "Thompson", "Richard S.", "" ] ]
0707.0664
Thomas Prellberg
Peter Cameron, Thomas Prellberg and Dudley Stark
Asymptotic enumeration of 2-covers and line graphs
null
null
null
null
math.CO
null
In this paper we find asymptotic enumerations for the number of line graphs on $n$-labelled vertices and for different types of related combinatorial objects called 2-covers. We find that the number of 2-covers, $s_n$, and proper 2-covers, $t_n$, on $[n]$ both have asymptotic growth $$ s_n\sim t_n\sim B_{2n}2^{-n}\exp(-\frac12\log(2n/\log n))= B_{2n}2^{-n}\sqrt{\frac{\log n}{2n}}, $$ where $B_{2n}$ is the $2n$th Bell number, while the number of restricted 2-covers, $u_n$, restricted, proper 2-covers on $[n]$, $v_n$, and line graphs $l_n$, all have growth $$ u_n\sim v_n\sim l_n\sim B_{2n}2^{-n}n^{-1/2}\exp(-[\frac12\log(2n/\log n)]^2). $$ In our proofs we use probabilistic arguments for the unrestricted types of 2-covers and and generating function methods for the restricted types of 2-covers and line graphs.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 16:59:40 GMT" } ]
2007-07-05T00:00:00
[ [ "Cameron", "Peter", "" ], [ "Prellberg", "Thomas", "" ], [ "Stark", "Dudley", "" ] ]
0707.0665
Tomas Jungwirth
T. Jungwirth, Jairo Sinova, A. H. MacDonald, B. L. Gallagher, V. Novak, K. W. Edmonds, A. W. Rushforth, R. P. Campion, C. T. Foxon, L. Eaves, K. Olejnik, J. Masek, S.-R. Eric Yang, J. Wunderlich, C. Gould, L. W. Molenkamp, T. Dietl, and H. Ohno
On the character of states near the Fermi level in (Ga,Mn)As: impurity to valence band crossover
10 pages, 12 figures
null
10.1103/PhysRevB.76.125206
null
cond-mat.mtrl-sci
null
We discuss the character of states near the Fermi level in Mn doped GaAs, as revealed by a survey of dc transport and optical studies over a wide range of Mn concentrations. A thermally activated valence band contribution to dc transport, a mid-infrared peak at energy hbar omega approx 200 meV in the ac- conductivity, and the hot photoluminescence spectra indicate the presence of an impurity band in low doped (<<1% Mn) insulating GaAs:Mn materials. Consistent with the implications of this picture, both the impurity band ionization energy inferred from the dc transport and the position of the mid-infrared peak move to lower energies and the peak broadens with increasing Mn concentration. In metallic materials with > 2% doping, no traces of Mn-related activated contribution can be identified in dc-transport, suggesting that the impurity band has merged with the valence band. No discrepancies with this perception are found when analyzing optical measurements in the high-doped GaAs:Mn. A higher energy (hbar omega approx 250 meV) mid-infrared feature which appears in the metallic samples is associated with inter-valence band transitions. Its red-shift with increased doping can be interpreted as a consequence of increased screening which narrows the localized-state valence-band tails and weakens higher energy transition amplitudes. Our examination of the dc and ac transport characteristics of GaAs:Mn is accompanied by comparisons with its shallow acceptor counterparts, confirming the disordered valence band picture of high-doped metallic GaAs:Mn material.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:12:23 GMT" }, { "version": "v2", "created": "Thu, 5 Jul 2007 11:13:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Jungwirth", "T.", "" ], [ "Sinova", "Jairo", "" ], [ "MacDonald", "A. H.", "" ], [ "Gallagher", "B. L.", "" ], [ "Novak", "V.", "" ], [ "Edmonds", "K. W.", "" ], [ "Rushforth", "A. W.", "" ], [ "Campion", "R. P.", "" ], [ "Foxon", "C. T.", "" ], [ "Eaves", "L.", "" ], [ "Olejnik", "K.", "" ], [ "Masek", "J.", "" ], [ "Yang", "S. -R. Eric", "" ], [ "Wunderlich", "J.", "" ], [ "Gould", "C.", "" ], [ "Molenkamp", "L. W.", "" ], [ "Dietl", "T.", "" ], [ "Ohno", "H.", "" ] ]
0707.0666
Eva Glasmachers
Eva Glasmachers and Gerhard Knieper
Characterization of geodesic flows on T^2 with and without positive topological entropy
19 pages, 8 figures
null
null
null
math.DS math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In the present work we consider the behavior of the geodesic flow on the unit tangent bundle of the 2-torus $T^2$ for an arbitrary Riemannian metric. A natural non-negative quantity which measures the complexity of the geodesic flow is the topological entropy. In particular, positive topological entropy implies chaotic behavior on an invariant set in the phase space of positive Hausdorff-dimension (horseshoe). We show that in the case of zero topological entropy the flow has properties similar to integrable systems. In particular there exists a non-trivial continuous constant of motion which measures the direction of geodesics lifted onto the universal covering $\Br^2$. Furthermore, those geodesics travel in strips bounded by Euclidean lines. Moreover we derive necessary and sufficient conditions for vanishing topological entropy involving intersection properties of single geodesics on $T^2$.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:15:20 GMT" }, { "version": "v2", "created": "Wed, 10 Feb 2010 19:58:59 GMT" }, { "version": "v3", "created": "Tue, 15 Jun 2010 20:32:20 GMT" }, { "version": "v4", "created": "Wed, 30 Jun 2010 05:55:15 GMT" } ]
2010-07-01T00:00:00
[ [ "Glasmachers", "Eva", "" ], [ "Knieper", "Gerhard", "" ] ]
0707.0667
Jorge S\'anchez-Ruiz
Julio I. de Vicente, Silvia Gandy, Jorge S\'anchez-Ruiz
Information entropy of Gegenbauer polynomials of integer parameter
19 pages, 1 Postscript figure
J. Phys. A: Math. Theor. 40, 8345-8361 (2007)
10.1088/1751-8113/40/29/010
null
math-ph math.CA math.MP quant-ph
null
The position and momentum information entropies of $D$-dimensional quantum systems with central potentials, such as the isotropic harmonic oscillator and the hydrogen atom, depend on the entropies of the (hyper)spherical harmonics. In turn, these entropies are expressed in terms of the entropies of the Gegenbauer (ultraspherical) polynomials $C_n^{(\lambda)}(x)$, the parameter $\lambda$ being either an integer or a half-integer number. Up to now, however, the exact analytical expression of the entropy of Gegenbauer polynomials of arbitrary degree $n$ has only been obtained for the particular values of the parameter $\lambda=0,1,2$. Here we present a novel approach to the evaluation of the information entropy of Gegenbauer polynomials, which makes use of trigonometric representations for these polynomials and complex integration techniques. Using this method, we are able to find the analytical expression of the entropy for arbitrary values of both $n$ and $\lambda\in\mathbb{N}$.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:22:37 GMT" } ]
2007-08-27T00:00:00
[ [ "de Vicente", "Julio I.", "" ], [ "Gandy", "Silvia", "" ], [ "Sánchez-Ruiz", "Jorge", "" ] ]
0707.0668
Heng-Yu Chen HYC
Heng-Yu Chen, Nick Dorey and Rui F. Lima Matos
Quantum Scattering of Giant Magnons
47 pages, 2 figures. References added, to be submitted to JHEP
JHEP 0709:106,2007
10.1088/1126-6708/2007/09/106
DAMTP-07-51
hep-th
null
We perform a first-principles semi-classical computation of the one-loop corrections to the dispersion relation and S-matrix of Giant Magnons in AdS_5 x S^5 string theory. The results agree exactly with expectations based on the strong coupling expansion of the exact Asymptotic Bethe Ansatz equations. In particular we reproduce the Hernandez-Lopez term in the dressing phase.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:32:04 GMT" }, { "version": "v2", "created": "Tue, 21 Aug 2007 18:53:43 GMT" } ]
2009-04-30T00:00:00
[ [ "Chen", "Heng-Yu", "" ], [ "Dorey", "Nick", "" ], [ "Matos", "Rui F. Lima", "" ] ]
0707.0669
Jose Edgar Madriz Aguilar
Lucio Fabio P. da Silva and Jose Edgar Madriz Aguilar
Quintessential inflation from 5D warped product spaces on a dynamical foliation
7 pages, 1 figure Accepted for publication in Modern Physics Letters A
Mod.Phys.Lett.A23:1213-1221,2008
10.1142/S0217732308025747
null
gr-qc astro-ph hep-th
null
Assuming the existence of a 5D purely kinetic scalar field on the class of warped product spaces we investigate the possibility of mimic both an inflationary and a quintessential scenarios on 4D hypersurfaces, by implementing a dynamical foliation on the fifth coordinate instead of a constant one. We obtain that an induced chaotic inflationary scenario with a geometrically induced scalar potential and an induced quasi-vacuum equation of state on 4D dynamical hypersurfaces is possible. While on a constant foliation the universe can be considered as matter dominated today, in a family of 4D dynamical hypersurfaces the universe can be passing for a period of accelerated expansion with a deceleration parameter nearly -1. This effect of the dynamical foliation results negligible at the inflationary epoch allowing for a chaotic scenario and becomes considerable at the present epoch allowing a quintessential scenario.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:26:25 GMT" }, { "version": "v2", "created": "Wed, 26 Sep 2007 20:18:51 GMT" } ]
2008-11-26T00:00:00
[ [ "da Silva", "Lucio Fabio P.", "" ], [ "Aguilar", "Jose Edgar Madriz", "" ] ]
0707.0670
Csaba Toke Dr.
Csaba Toke, Jainendra K. Jain
Theoretical study of even denominator fractions in graphene: Fermi sea versus paired states of composite fermions
null
PRB 76, 081403 (2007)
10.1103/PhysRevB.76.081403
null
cond-mat.mes-hall cond-mat.str-el
null
The physics of the state at even denominator fractional fillings of Landau levels depends on the Coulomb pseudopotentials, and produces, in different GaAs Landau levels, a composite fermion Fermi sea, a stripe phase, or, possibly, a paired composite fermion state. We consider here even denominator fractions in graphene, which has different pseudopotentials as well as a possible four fold degeneracy of each Landau level. We test various composite fermion Fermi sea wave functions (fully polarized, SU(2) singlet, SU(4) singlet) as well as the paired composite fermion states in the n=0 and $n=1$ Landau levels and predict that (i) the paired states are not favorable, (ii) CF Fermi seas occur in both Landau levels, and (iii) an SU(4) singlet composite fermion Fermi sea is stabilized in the appropriate limit. The results from detailed microscopic calculations are generally consistent with the predictions of the mean field model of composite fermions.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:32:18 GMT" }, { "version": "v2", "created": "Wed, 22 Aug 2007 10:29:09 GMT" } ]
2009-11-13T00:00:00
[ [ "Toke", "Csaba", "" ], [ "Jain", "Jainendra K.", "" ] ]
0707.0671
Surya Ramana D
Gyan Prakash and D.S. Ramana
The Large Sieve Inequality for Integer Polynomial Amplitudes
6 pages
null
null
null
math.NT
null
We obtain a close to the best possible version of the large sieve inequality with amplitudes given by the values of a polynomial with integer coefficients of degree $\geq 2$.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:32:57 GMT" } ]
2007-07-05T00:00:00
[ [ "Prakash", "Gyan", "" ], [ "Ramana", "D. S.", "" ] ]
0707.0672
Davide Fedele
D. Fedele (1,2), M. E. van den Ancker (2), M. G. Petr-Gotzens (2), N. Ageorges (2) and P. Rafanelli (1) ((1) Universita' di Padova, (2) ESO)
Optical and infrared properties of V1647 Orionis during the 2003-2006 outburst. I The reflection nebula
8 pages, 7 figures, in press
null
10.1051/0004-6361:20077724
null
astro-ph
null
Aims: The recent outburst of the young eruptive star V1647 Orionis has produced a spectacular appearance of a new reflection nebula in Orion (McNeil's nebula). We present an optical/near infrared investigation of McNeil's nebula. This analysis is aimed at determining the morphology, temporal evolution and nature of the nebula and its connection to the outburst. Method: We performed multi epoch B, V, R, I, z, and K imaging of McNeil's nebula and V1647 Ori as well as K_S imaging polarimetry. The multiband imaging allows us to reconstruct the extinction map inside the nebula. Through polarimetric observations we attempt to disentangle the emission from the nebula from that of the accretion disk around V1647 Ori. We also attempt to resolve the small spatial scale structure of the illuminating source. Results: The energy distribution and temporal evolution of McNeil's nebula mimic that of the illuminating source. The extinction map reveals a region of higher extinction in the direction of V1647 Ori. Excluding foreground extionction, the optical extinction due to McNeil's nebula in the direction of V1647 Ori is A_V ~ 6.5 mag. The polarimetric measurement shows a compact high polarization emission around V1647 Ori. The percentage of K_S band linear polarization goes from 10 -- 20 %. The vectors are all well aligned with a position angle of 90 +/- 9 degree East of North. This may correspond to the orientation of a possible accretion disk around V1647 Ori. These findings suggest that the appearance of McNeil's nebula is due to reflection of light by pre-existing material in the surroundings of V1647 Ori. We also report on the discovery of a new candidate brown dwarf or protostar in the vicinity of V1647 Ori as well as the presence of clumpy structure within HH 22A.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:41:13 GMT" } ]
2009-11-13T00:00:00
[ [ "Fedele", "D.", "", "Universita' di Padova", "ESO" ], [ "Ancker", "M. E. van den", "", "ESO" ], [ "Petr-Gotzens", "M. G.", "", "ESO" ], [ "Ageorges", "N.", "", "ESO" ], [ "Rafanelli", "P.", "", "Universita' di Padova" ] ]
0707.0673
Eva Leschinsky
Eva Leschinsky
Minimal geodesics and topological entropy on T^2
12 pages
null
null
null
math.DS math.DG
null
Let (T^2, g) be a two-dimensional Riemannian torus. In this paper we prove that the topological entropy of the geodesic flow restricted to the set of initial conditions of minimal geodesics vanishes, independent of the choice of the Riemannian metric.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:47:49 GMT" } ]
2007-07-05T00:00:00
[ [ "Leschinsky", "Eva", "" ] ]
0707.0674
Slobodan Vrhovac
I. Lon\v{c}arevi\'c, Lj. Budinski-Petkovi\'c and S. B. Vrhovac
Simulation study of random sequential adsorption of mixtures on a triangular lattice
11 figures, 2 tables
null
10.1140/epje/i2007-10206-4
null
cond-mat.stat-mech cond-mat.soft
null
Random sequential adsorption of binary mixtures of extended objects on a two-dimensional triangular lattice is studied numerically by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding random walks on the lattice. We concentrate here on the influence of the symmetry properties of the shapes on the kinetics of the deposition processes in two-component mixtures. Approach to the jamming limit in the case of mixtures is found to be exponential, of the form: $\theta(t) \sim \theta_{jam}-\Delta\theta \exp (-t/\sigma),$ and the values of the parameter $\sigma$ are determined by the order of symmetry of the less symmetric object in the mixture. Depending on the local geometry of the objects making the mixture, jamming coverage of a mixture can be either greater than both single-component jamming coverages or it can be in between these values. Results of the simulations for various fractional concentrations of the objects in the mixture are also presented.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:54:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Lončarević", "I.", "" ], [ "Budinski-Petković", "Lj.", "" ], [ "Vrhovac", "S. B.", "" ] ]
0707.0675
Armand Niederberger
Armand Niederberger, Thomas Schulte, Jan Wehr, Maciej Lewenstein, Laurent Sanchez-Palencia, Krzysztof Sacha
Disorder-Induced Order in Two-Component Bose-Einstein Condensates
4 pages, 3 figures
Phys. Rev. Lett. 100, 030403 (2008)
10.1103/PhysRevLett.100.030403
null
cond-mat.other cond-mat.dis-nn
null
We propose and analyze a general mechanism of disorder-induced order in two-component Bose-Einstein condensates, analogous to corresponding effects established for XY spin models. We show that a random Raman coupling induces a relative phase of pi/2 between two BECs and that the effect is robust. We demonstrate it in 1D, 2D and 3D at T=0 and present evidence that it persists at small T>0. Applications to phase control in ultracold spinor condensates are discussed.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 17:54:37 GMT" }, { "version": "v2", "created": "Wed, 11 Jul 2007 14:35:57 GMT" }, { "version": "v3", "created": "Thu, 21 Feb 2008 17:59:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Niederberger", "Armand", "" ], [ "Schulte", "Thomas", "" ], [ "Wehr", "Jan", "" ], [ "Lewenstein", "Maciej", "" ], [ "Sanchez-Palencia", "Laurent", "" ], [ "Sacha", "Krzysztof", "" ] ]
0707.0676
Jaime Vladimir Torres-Heredia Julca
Jaime Vladimir Torres-Heredia Julca
A geometrical link between the circle and sexagesimal system
24 pages, 36 figures
null
null
null
math.HO math.GM
null
This paper presents a simple geometrical fact which could relate to the history of mathematics and astronomy. This fact shows a natural link between the circle and the multiples of 6 and it makes it possible to obtain a simple representation of the 12 months of the year, the 24 hours of the day, the 30 days (average number) of the month and the 360 days (approximate number) of the year, which brings us closer to the sexagesimal division of time. Moreover this representation reminds one of the movement of the planets around a centre. Using this fact one will be able also to find geometrically the principal divisor of number 60, to represent numbers in base 60 with a kind of abacus or calculation table and to make a division of the circle into 6 and 12 equal parts. Afterwards one will be able to obtain a division in 360 unequal parts but relatively close to one another, and the goal isn't precisely to obtain an optimal division of the circle in 360 equal parts but to prove that the idea to divide the circle in 360 equal parts can subsequently be suggested by these geometrical facts that have been showed. In this article the author will not answer the following questions: a) What is the origin of the sexagesimal system? b) By which way could one manage to adopt the sexagesimal system starting from the knowledge of the facts exposed in this article and starting from the knowledge of the astronomical data? These questions could be treated, using information of this article, by the readers or later on by the author.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 18:00:02 GMT" } ]
2007-07-05T00:00:00
[ [ "Julca", "Jaime Vladimir Torres-Heredia", "" ] ]
0707.0677
Roman Zwicky
Roman Zwicky
Unparticles at heavy flavour scales: CP violating phenomena
33 pages, 9 figures
Phys.Rev.D77:036004,2008
10.1103/PhysRevD.77.036004
DCPT/07/58, IPPP/07/29
hep-ph
null
Coupling the scale invariant unparticle sector to flavour physics and assuming that it remains scale invariant we investigate its consequences in heavy flavour physics. A drastic feature of unparticle physics is an unusual phase leading to novel CP violating phenomena. We consider the CP asymmetry in the leptonic decay B^+ -> tau^+ nu and the hadronic decay B_d -> D^+D^-, taking into account constraints of branching ratios and time dependent CP asymmetries. Generic plots are shown and it turns out that there exist parameters for which the CP violation is maximal. A prediction of a large CP asymmetry in B_d -> D^+D^- is difficult to achieve in other models without contradicting the current data in other channels. The prediction of a CP asymmetry in leptonic decays, such as B^+ -> tau^+ nu, is novel. We identify the CP compensating mode due to the unparticles and show explicitly that it exactly cancels the CP asymmetry of B^+ -> tau^+ nu as demanded by CPT invariance. Building up on earlier works we investigate the breaking of scale invaricance, due to the coupling to the Higgs and the size of the effects in the weak sector resorting to a dimensional analysis. An enhancement is observed on the grounds of the relevance of the unparticle interaction operator as compared to the weak four-Fermi term.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 18:25:34 GMT" } ]
2008-11-26T00:00:00
[ [ "Zwicky", "Roman", "" ] ]
0707.0678
Tim Roemer
Aldo Conca, Tim Roemer
Generic initial ideals and fibre products
13 pages
Osaka J. Math. 47 (2010), no. 1, 17-32
null
null
math.AC math.CO
null
We study the behavior of generic initial ideals with respect to fibre products. In our main result we determine the generic initial ideal of the fibre product with respect to the reverse lexicographic order. As an application we compute the symmetric algebraic shifted complex of two disjoint simplicial complexes as was conjectured by Kalai. This result is the symmetric analogue of a theorem of Nevo who determined the exterior algebraic shifted complex of two disjoint simplicial complexes as predicted by Kalai.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 18:34:27 GMT" } ]
2021-05-18T00:00:00
[ [ "Conca", "Aldo", "" ], [ "Roemer", "Tim", "" ] ]
0707.0679
Avi Shporer
B. Loeillet, A. Shporer, F. Bouchy, F. Pont, T. Mazeh, J.L. Beuzit, I. Boisse, X. Bonfils, R. Da Silva, X. Delfosse, M. Desort, A. Ecuvillon, T. Forveille, F. Galland, A. Gallenne, G. Hebrard, A. M. Lagrange, C. Lovis, M. Mayor, C. Moutou, F. Pepe, C. Perrier, D. Queloz, D. Segransan, J.P. Sivan, N. C. Santos, Y. Tsodikovich, S. Udry, A. Vidal-Madjar
Refined parameters and spectroscopic transit of the super-massive planet HD147506b
Submitted to A&A; V2: Replaced by accepted version
null
10.1051/0004-6361:20078167
null
astro-ph
null
In this paper, we report a refined determination of the orbital parameters and the detection of the Rossiter-McLaughlin effect of the recently discovered transiting exoplanet HD147506b (HAT-P-2b). The large orbital eccentricity at the short orbital period of this exoplanet is unexpected and is distinguishing from other known transiting exoplanets. We performed high-precision radial velocity spectroscopic observations of HD147506 (HAT-P-2) with the new spectrograph SOPHIE, mounted on the 1.93 m telescope at the Haute-Provence observatory (OHP). We obtained 63 new measurements, including 35 on May 14 and 20 on June 11, when the planet was transiting its parent star. The radial velocity (RV) anomaly observed illustrates that HAT-P-2b orbital motion is set in the same direction as its parent star spin. The sky-projected angle between the normal of the orbital plane and the stellar spin axis, \lambda = 0.2 +12.2 -12.5 deg, is consistent with zero. The planetary and stellar radii were re-determined, yielding R_p = 0.951 +0.039 -0.053 R_Jup, R_s = 1.416 +0.040 -0.062 R_Sun. The mass M_p = 8.62 +0.39 -0.55 M_Jup and radius of HAT-P-2b indicate a density of 12.5 +2.6 -3.6 g cm^{-3}, suggesting an object in between the known close-in planets with typical density of the order of 1 g cm^{-3}, and the very low-mass stars, with density greater than 50 g cm^{-3}.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 18:43:21 GMT" }, { "version": "v2", "created": "Thu, 21 Feb 2008 17:07:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Loeillet", "B.", "" ], [ "Shporer", "A.", "" ], [ "Bouchy", "F.", "" ], [ "Pont", "F.", "" ], [ "Mazeh", "T.", "" ], [ "Beuzit", "J. L.", "" ], [ "Boisse", "I.", "" ], [ "Bonfils", "X.", "" ], [ "Da Silva", "R.", "" ], [ "Delfosse", "X.", "" ], [ "Desort", "M.", "" ], [ "Ecuvillon", "A.", "" ], [ "Forveille", "T.", "" ], [ "Galland", "F.", "" ], [ "Gallenne", "A.", "" ], [ "Hebrard", "G.", "" ], [ "Lagrange", "A. M.", "" ], [ "Lovis", "C.", "" ], [ "Mayor", "M.", "" ], [ "Moutou", "C.", "" ], [ "Pepe", "F.", "" ], [ "Perrier", "C.", "" ], [ "Queloz", "D.", "" ], [ "Segransan", "D.", "" ], [ "Sivan", "J. P.", "" ], [ "Santos", "N. C.", "" ], [ "Tsodikovich", "Y.", "" ], [ "Udry", "S.", "" ], [ "Vidal-Madjar", "A.", "" ] ]
0707.0680
Dionisio Bazeia
D. Bazeia, F.A. Brito, F.G. Costa
First-order framework and domain-wall/brane-cosmology correspondence
Revtex4, 10 pages, 7 figures; version to appear in PLB
Phys.Lett.B661:179-185,2008
10.1016/j.physletb.2008.02.016
null
hep-th
null
We address the possibility of finding domain wall solutions from cosmological solutions in brane cosmology. We find first-order equations for corresponding cosmology/domain wall solutions induced on 3-branes. The quadratic term of energy density in the induced Friedmann equation plays a non-standard role and we discuss the way the standard cosmological and domain wall models are recovered as the brane tension becomes large and show how they can be described by four-dimensional supergravity action in such a limit. Finally, we show that gravity on the 3-brane is locally localized as one moves away from the two-dimensional domain walls living on the brane.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 18:42:21 GMT" }, { "version": "v2", "created": "Fri, 27 Jul 2007 15:14:08 GMT" }, { "version": "v3", "created": "Wed, 16 Jan 2008 18:16:21 GMT" }, { "version": "v4", "created": "Mon, 11 Feb 2008 19:06:07 GMT" } ]
2008-11-26T00:00:00
[ [ "Bazeia", "D.", "" ], [ "Brito", "F. A.", "" ], [ "Costa", "F. G.", "" ] ]
0707.0681
Valerii Dryuma sem
Valerii Dryuma
On the Equations of Nonstationary Transonic Gas Flows
8 pages
null
null
null
nlin.SI
null
The method of point transformation of the functions and variables for construction of particular solutions of the Equations of Nonstationary Transonic Gas Flows is used.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 19:18:16 GMT" } ]
2007-07-05T00:00:00
[ [ "Dryuma", "Valerii", "" ] ]
0707.0682
Francisco (Paco) Guinea
F. Guinea, M. I. Katsnelson, and M. A. H. Vozmediano
Midgap states and charge inhomogeneities in corrugated graphene
null
Phys. Rev. B, vol. 77, 075422 (2008)
10.1103/PhysRevB.77.075422
null
cond-mat.mes-hall cond-mat.mtrl-sci
null
We study the changes induced by the effective gauge field due to ripples on the low energy electronic structure of graphene. We show that zero energy Landau levels will form, associated to the smooth deformation of the graphene layer, when the height corrugation, $h$, and the length of the ripple, $l$, are such that $h^2 / (l a) \gtrsim 1$, where $a$ is the lattice constant. The existence of localized levels gives rise to a large compressibility at zero energy, and to the enhancement of instabilities arising from electron-electron interactions including electronic phase separation. The combined effect of the ripples and an external magnetic field breaks the valley symmetry of graphene leading to the possibility of valley selection.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 19:21:08 GMT" }, { "version": "v2", "created": "Wed, 19 Dec 2007 12:03:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Guinea", "F.", "" ], [ "Katsnelson", "M. I.", "" ], [ "Vozmediano", "M. A. H.", "" ] ]
0707.0683
Gianni Manno
Ricardo Alonso Blanco, Gianni Manno, Fabrizio Pugliese
Normal forms for parabolic Monge-Ampere equations
18 pages
null
null
null
math.DG math.AP
null
We find normal forms for parabolic Monge-Ampere equations. Of these, the most general one holds for any equation admitting a complete integral. Moreover, we explicitly give the determining equation for such integrals; restricted to the analytic case, this equation is shown to have solutions. The other normal forms exhaust the different classes of parabolic Monge-Ampere equations with symmetry properties, namely, the existence of classical or nonholonomic intermediate integrals. Our approach is based on the equivalence between parabolic Monge-Ampere equations and particular distributions on a contact manifold, and involves a classification of vector fields lying in the contact structure. These are divided into three types and described in terms of the simplest ones (characteristic fields of first order PDE's).
[ { "version": "v1", "created": "Wed, 4 Jul 2007 19:25:50 GMT" }, { "version": "v2", "created": "Thu, 16 Aug 2007 19:53:39 GMT" }, { "version": "v3", "created": "Sat, 15 Sep 2007 14:14:47 GMT" } ]
2007-09-15T00:00:00
[ [ "Blanco", "Ricardo Alonso", "" ], [ "Manno", "Gianni", "" ], [ "Pugliese", "Fabrizio", "" ] ]
0707.0684
Stefan Noll
S. Noll, D. Pierini, M. Pannella, S. Savaglio
Presence of dust with a UV bump in massive, star-forming galaxies at 1 < z < 2.5
19 pages, 15 figures, accepted for publication in A&A
null
10.1051/0004-6361:20077067
null
astro-ph
null
Fundamental properties of the extinction curve, like the slope in the rest-frame ultraviolet (UV) and the presence/absence of a broad absorption excess centred at 2175 A (the UV bump), are investigated for a sample of 108 massive, star-forming galaxies at 1 < z < 2.5, selected from the FDF Spectroscopic Survey, the K20 survey, and the GDDS. These characteristics are constrained from a parametric description of the UV spectral energy distribution (SED) of a galaxy, as enforced by combined stellar population and radiative transfer models for different geometries, dust/stars configurations and dust properties. In at least one third of the sample, there is a robust evidence for extinction curves with at least a moderate UV bump. The presence of the carriers of the UV bump is more evident in galaxies with UV SEDs suffering from heavy reddening. We interpret these results as follows. The sample objects possess different mixtures of dust grains and molecules producing extinction curves in between the average ones of the Small and Large Magellanic Cloud, where the UV bump is absent or modest, respectively. Most of the dust embeds the UV-emitting stellar populations or is distributed out of the galaxy mid-plane. Alternatively, even dust with a pronounced UV bump, as for the average Milky-Way extinction curve, can be present and distributed in the galaxy mid-plane. In this case, variations of the continuum scattering albedo with wavelength or an age-dependent extinction are not sufficient to explain the previous trend with reddening. Hence, additional extraplanar dust has to be invoked. The data suggest that the carriers of the UV bump are associated with intermediate-age stellar populations, while they survive in the harshest UV-radiation fields owing to dust self-shielding. [abridged]
[ { "version": "v1", "created": "Wed, 4 Jul 2007 19:53:50 GMT" } ]
2009-11-13T00:00:00
[ [ "Noll", "S.", "" ], [ "Pierini", "D.", "" ], [ "Pannella", "M.", "" ], [ "Savaglio", "S.", "" ] ]
0707.0685
Joseph V. Emerson
Joseph Emerson, Marcus Silva, Osama Moussa, Colm Ryan, Martin Laforest, Jonathan Baugh, David G. Cory, Raymond Laflamme
Symmetrised Characterisation of Noisy Quantum Processes
About 12 pages, 5 figures
Science 317, 1893-1896 (2007).
10.1126/science.1145699
null
quant-ph
null
A major goal of developing high-precision control of many-body quantum systems is to realise their potential as quantum computers. Probably the most significant obstacle in this direction is the problem of "decoherence": the extreme fragility of quantum systems to environmental noise and other control limitations. The theory of fault-tolerant quantum error correction has shown that quantum computation is possible even in the presence of decoherence provided that the noise affecting the quantum system satisfies certain well-defined theoretical conditions. However, existing methods for noise characterisation have become intractable already for the systems that are controlled in today's labs. In this paper we introduce a technique based on symmetrisation that enables direct experimental characterisation of key properties of the decoherence affecting a multi-body quantum system. Our method reduces the number of experiments required by existing methods from exponential to polynomial in the number of subsystems. We demonstrate the application of this technique to the optimisation of control over nuclear spins in the solid state.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 19:55:30 GMT" } ]
2007-10-30T00:00:00
[ [ "Emerson", "Joseph", "" ], [ "Silva", "Marcus", "" ], [ "Moussa", "Osama", "" ], [ "Ryan", "Colm", "" ], [ "Laforest", "Martin", "" ], [ "Baugh", "Jonathan", "" ], [ "Cory", "David G.", "" ], [ "Laflamme", "Raymond", "" ] ]
0707.0686
Luc Bouten
Luc Bouten and Andrew Silberfarb
Adiabatic elimination in quantum stochastic models
17 pages, no figures, corrected mistakes
Commun. Math. Phys. 283, 491-505 (2008)
10.1007/s00220-008-0513-6
null
math-ph math.MP quant-ph
null
We consider a physical system with a coupling to bosonic reservoirs via a quantum stochastic differential equation. We study the limit of this model as the coupling strength tends to infinity. We show that in this limit the solution to the quantum stochastic differential equation converges strongly to the solution of a limit quantum stochastic differential equation. In the limiting dynamics the excited states are removed and the ground states couple directly to the reservoirs.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 10:38:38 GMT" }, { "version": "v2", "created": "Wed, 22 Aug 2007 23:13:04 GMT" }, { "version": "v3", "created": "Tue, 2 Oct 2007 21:40:44 GMT" }, { "version": "v4", "created": "Thu, 6 Dec 2007 20:27:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Bouten", "Luc", "" ], [ "Silberfarb", "Andrew", "" ] ]
0707.0687
Moshe Gai
Moshe Gai (Yale and UConn-LNS at Avery Point)
The Dissociation of 8B in the Coulomb Field and the Validity of the CD Method
Invited Talk, Spring Seminar on Nuclear Physics, May 20 - 24, 2007, Vico Equense, Italy. Work Supported by USDOE grant No. DE-FG02-94ER40870
null
10.1142/9789812779038_0059
null
nucl-ex astro-ph nucl-th
null
The GSI1, GSI2 (as well as the RIKEN2 and the corrected GSI2) measurements of the Coulomb Dissociation (CD) of 8B are in good agreement with the most recent Direct Capture (DC) 7Be(p,g)8B reaction measurement performed at Weizmann and in agreement with the Seattle result. Yet it was claimed that the CD and DC results are sufficiently different and need to be reconciled. We show that these statements arise from a misunderstanding (as well as misrepresentation) of CD experiments. We recall a similar strong statement questioning the validity of the CD method due to an invoked large E2 component that was also shown to arise from a misunderstanding of the CD method. In spite of the good agreement between DC and CD data the slope of the astrophysical cross section factor (S17) can not be extracted with high accuracy due to a discrepancy between the recent DC data as well as a discrepancy of the three reports of the GSI CD data. The slope is directly related to the d-wave component that dominates at higher energies and must be subtracted from measured data to extrapolate to zero energy. Hence the uncertainty of the measured slope leads to an additional uncertainty of the extrapolated zero energy cross section factor, S17(0). This uncertainty must be alleviated by future experiments to allow a precise determination of S17(0), a goal that so far has not be achieved in spite of strong statement(s) that appeared in the literature.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 20:20:33 GMT" } ]
2017-08-23T00:00:00
[ [ "Gai", "Moshe", "", "Yale and UConn-LNS at Avery Point" ] ]
0707.0688
Samarth Chandra
Samarth Chandra
Dependence of ground state energy of classical n-vector spins on n
6 pages, 2 figures, submitted to Physical Review E
null
10.1103/PhysRevE.77.021125
null
cond-mat.stat-mech
null
We study the ground state energy E_G(n) of N classical n-vector spins with the hamiltonian H = - \sum_{i>j} J_ij S_i.S_j where S_i and S_j are n-vectors and the coupling constants J_ij are arbitrary. We prove that E_G(n) is independent of n for all n > n_{max}(N) = floor((sqrt(8N+1)-1) / 2) . We show that this bound is the best possible. We also derive an upper bound for E_G(m) in terms of E_G(n), for m<n. We obtain an upper bound on the frustration in the system, as measured by F(n), which is defined to be (\sum_{i>j} |J_ij| + E_G(n)) / (\sum_{i>j} |J_ij|). We describe a procedure for constructing a set of J_ij's such that an arbitrary given state, {S_i}, is the ground state.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 20:54:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Chandra", "Samarth", "" ] ]
0707.0689
Gabriele Ghisellini
G. Ghisellini, G. Ghirlanda, F. Tavecchio (INAF-Osservatorio Astronomico di Brera)
Did we observe the supernova shock breakout in GRB 060218?
5 pages, 2 figures, revised version, MNRAS Letters, in press
null
10.1111/j.1745-3933.2007.00396.x
null
astro-ph
null
If the early optical data of GRB 060218 up to 1e5 s are interpreted as the black-body flux associated with the supernova shock breakout, we can derive lower limits to the bolometric luminosity and energetics of this black-body component. These limits are more severe for the very early data that imply energetics of order of 1e51 erg. These values, puzzlingly large, are rather independent of the assumed time profile of the emitting surface, provided that the corresponding radius does not increase superluminally. Another concern is the luminosity of the black-body component observed in the X-rays, that is large and appears to be produced by an approximately constant temperature and a surface area increasing only slowly in time. Although it has been suggested that the long X-ray black-body duration is consistent with the supernova shock breakout if anisotropy is assumed, the nearly constant emitting surface requires some fine tuning, allowing and suggesting an alternative interpretation, i.e. emission from late dissipation of the fireball bulk kinetic energy. This in turn requires a small value of the bulk Lorentz factor.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 20:00:35 GMT" }, { "version": "v2", "created": "Mon, 17 Sep 2007 08:24:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Ghisellini", "G.", "", "INAF-Osservatorio\n Astronomico di Brera" ], [ "Ghirlanda", "G.", "", "INAF-Osservatorio\n Astronomico di Brera" ], [ "Tavecchio", "F.", "", "INAF-Osservatorio\n Astronomico di Brera" ] ]
0707.0690
Jos\'e Prieto
Jose L. Prieto, Krzysztof Z. Stanek, John F. Beacom (Ohio State)
Characterizing Supernova Progenitors via the Metallicities of their Host Galaxies, from Poor Dwarfs to Rich Spirals
ApJ accepted, 26 pages, 5 figures, 1 table. Updated catalogs are available at http://www.astronomy.ohio-state.edu/~prieto/snhosts/
Astrophys.J.673:999-1008,2008
10.1086/524654
null
astro-ph
null
We investigate how the different types of supernovae are relatively affected by the metallicity of their host galaxy. We match the SAI Supernova Catalog to the SDSS-DR4 catalog of star-forming galaxies with measured metallicities. These supernova host galaxies span a range of oxygen abundance from 12 + log(O/H) = 7.9 to 9.3 (~ 0.1 to 2.7 solar) and a range in absolute magnitude from MB = -15.2 to -22.2. To reduce the various observational biases, we select a subsample of well-characterized supernovae in the redshift range from 0.01 to 0.04, which leaves us with 58 SN II, 19 Ib/c, and 38 Ia. We find strong evidence that SN Ib/c are occurring in higher-metallicity host galaxies than SN II, while we see no effect for SN Ia relative to SN II. We note some extreme and interesting supernova-host pairs, including the metal-poor (~ 1/4 solar) host of the recent SN Ia 2007bk, where the supernova was found well outside of this dwarf galaxy. To extend the luminosity range of supernova hosts to even fainter galaxies, we also match all the historical supernovae with z < 0.3 to the SDSS-DR6 sky images, resulting in 1225 matches. This allows us to identify some even more extreme cases, such as the recent SN Ic 2007bg, where the likely host of this hypernova-like event has an absolute magnitude MB ~ -12, making it one of the least-luminous supernova hosts ever observed. This low-luminosity host is certain to be very metal poor (~ 1/20 solar), and therefore this supernova is an excellent candidate for association with an off-axis GRB. The two catalogs that we have constructed are available online and will be updated regularly. Finally, we discuss various implications of our findings for understanding supernova progenitors and their host galaxies.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 16:22:48 GMT" }, { "version": "v2", "created": "Wed, 17 Oct 2007 19:04:16 GMT" } ]
2010-11-11T00:00:00
[ [ "Prieto", "Jose L.", "", "Ohio State" ], [ "Stanek", "Krzysztof Z.", "", "Ohio State" ], [ "Beacom", "John F.", "", "Ohio State" ] ]
0707.0691
Fr\'ed\'eric Dupuis
Simon Pierre Desrosiers and Fr\'ed\'eric Dupuis
Quantum entropic security and approximate quantum encryption
Corrected mistakes in the proofs of Theorems 3 and 6; results unchanged. To appear in IEEE Transactions on Information Theory.
null
10.1109/TIT.2010.2048488
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present full generalisations of entropic security and entropic indistinguishability to the quantum world where no assumption but a limit on the knowledge of the adversary is made. This limit is quantified using the quantum conditional min-entropy as introduced by Renato Renner. A proof of the equivalence between the two security definitions is presented. We also provide proofs of security for two different cyphers in this model and a proof for a lower bound on the key length required by any such cypher. These cyphers generalise existing schemes for approximate quantum encryption to the entropic security model.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 13:53:22 GMT" }, { "version": "v2", "created": "Thu, 15 Apr 2010 13:06:10 GMT" } ]
2010-04-16T00:00:00
[ [ "Desrosiers", "Simon Pierre", "" ], [ "Dupuis", "Frédéric", "" ] ]
0707.0692
Sergei Bashinsky
Sergei Bashinsky (Los Alamos)
Mapping Cosmological Observables to the Dark Kinetics
20 pages, 6 figures, submitted to ApJ
null
null
LA-UR-07-2136
astro-ph gr-qc hep-ph hep-th
null
We study systematically which features in the cosmic microwave background (CMB) and large-scale structure (LSS) probe various inhomogeneous properties of the dark sectors (including neutrinos, dark matter, and dark energy). We stress, and quantify by simple formulas, that the primary CMB anisotropies are very susceptible to the gravitational potentials during horizon entry, less at recombination. The CMB thus allows us to scan \Phi+\Psi and the underlying dark kinetics for all redshifts z~1-10^5. LSS, on the other hand, responds strongest to \Phi at low redshifts. Dark perturbations are often parameterized by the anisotropic stress and effective sound speed (stiffness). We find that the dark anisotropic stress and stiffness influence the visible species at the correspondingly early and late stages of horizon entry, and affect stronger respectively the CMB and LSS. The CMB yet remains essential to probing the stiff perturbations of light neutrinos and dark energy, detectable only during horizon entry. The clustering of dark species and large propagation speed of their inhomogeneities also map to distinctive features in the CMB and LSS. -Any parameterization of the signatures of dark kinetics that assumes general relativity can effectively accommodate any modified gravity (MG) that retains the equivalence principle for the visible sectors. This implies that formally the nonstandard structure growth or \Phi/\Psi ratio, while indicative, are not definitive MG signatures. The definitive signatures of MG may include the strong dependence of the apparent dark dynamics on visible species, its superluminality, and the nonstandard phenomenology of gravitational waves.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 18:49:06 GMT" } ]
2007-07-11T00:00:00
[ [ "Bashinsky", "Sergei", "", "Los Alamos" ] ]
0707.0693
John Grimes
J. P. Grimes, T. Heckman, D. Strickland, W. V. Dixon, K. Sembach, R. Overzier, C. Hoopes, A. Aloisi, and A. Ptak
Feedback in the local LBG Analog Haro 11 as probed by far-UV and X-ray observations
Accepted for publication in ApJ, 40 pages, 17 figures
null
10.1086/521353
null
astro-ph
null
We have re-analyzed FUSE data and obtained new Chandra observations of Haro 11, a local (D_L=88 Mpc) UV luminous galaxy. Haro 11 has a similar far-UV luminosity (10^10.3 L_\odot), UV surface brightness (10^9.4 L_\odot kpc^-2), SFR, and metallicity to that observed in Lyman Break Galaxies (LBGs). We show that Haro 11 has extended, soft thermal (kT~0.68 keV) X-ray emission with a luminosity and size which scales with the physical properties (e.g. SFR, stellar mass) of the host galaxy. An enhanced alpha/Fe, ratio of ~4 relative to solar abundance suggests significant supernovae enrichment. These results are consistent with the X-ray emission being produced in a shock between a supernovae driven outflow and the ambient material. The FUV spectra show strong absorption lines similar to those observed in LBG spectra. A blueshifted absorption component is identified as a wind outflowing at ~200-280 km/s. OVI\lambda\lambda1032,1038 emission, the dominant cooling mechanism for coronal gas at T~10^5.5 K is also observed. If associated with the outflow, the luminosity of the OVI emission suggests that <20% of the total mechanical energy from the supernovae and solar winds is being radiated away. This implies that radiative cooling through OVI is not significantly inhibiting the growth of the outflowing gas. In contradiction to the findings of Bergvall et al 2006, we find no convincing evidence of Lyman continuum leakage in Haro 11. We conclude that the wind has not created a `tunnel' allowing the escape of a significant fraction of Lyman continuum photons and place a limit on the escape fraction of f_{esc}<2%. Overall, both Haro 11 and a previously observed LBG analogue VV 114, provide an invaluable insight into the X-ray and FUV properties of high redshift LBGs.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 20:09:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Grimes", "J. P.", "" ], [ "Heckman", "T.", "" ], [ "Strickland", "D.", "" ], [ "Dixon", "W. V.", "" ], [ "Sembach", "K.", "" ], [ "Overzier", "R.", "" ], [ "Hoopes", "C.", "" ], [ "Aloisi", "A.", "" ], [ "Ptak", "A.", "" ] ]
0707.0694
Yakiv Pavlenko V.
Ya.V.Pavlenko (UH, MAO NASU), H.R.A.Jones (UH), E.L.Martin (IAC, Univ. Centr. Florida), E.Guenther (Turinger Sternwarte), M.A. Kenworthy (CAAO), M.R.Zapatero Osorio (IAC)
Lithium in LP 944-20
14 pages, 17 figs, accepted by MNRAS (upgraded version)
null
10.1111/j.1365-2966.2007.12182.x
null
astro-ph
null
We present a new estimate of the lithium abundance in the atmosphere of the brown dwarf LP 944-20. Our analysis is based on a self-consistent analysis of low, intermediate and high resolution optical and near-infrared spectra. We obtain log N(Li) = 3.25 +/-0.25 using fits of our synthetic spectra to the Li I resonance line doublet profiles observed with VLT/UVES and AAT/SPIRAL. This lithium abundance is over two orders of magnitude larger than previous estimates in the literature. In order to obtain good fits of the resonance lines of K I and Rb I and better fits to the TiO molecular absorption around the Li I resonance line, we invoke a semi-empirical model atmosphere with the dusty clouds located above the photosphere. The lithium abundance, however, is not changed by the effects of the dusty clouds. We discuss the implications of our estimate of the lithium abundance in LP 944-20 for the understanding of the properties of this benchmark brown dwarf.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 20:12:22 GMT" }, { "version": "v2", "created": "Sat, 14 Jul 2007 19:01:23 GMT" } ]
2009-11-13T00:00:00
[ [ "Pavlenko", "Ya. V.", "", "UH, MAO NASU" ], [ "Jones", "H. R. A.", "", "UH" ], [ "Martin", "E. L.", "", "IAC, Univ.\n Centr. Florida" ], [ "Guenther", "E.", "", "Turinger Sternwarte" ], [ "Kenworthy", "M. A.", "", "CAAO" ], [ "Osorio", "M. R. Zapatero", "", "IAC" ] ]
0707.0695
Daniel Podolsky
Daniel Podolsky, Shailesh Chandrasekharan, and Ashvin Vishwanath
Phase Transitions of S=1 Spinor Condensates in an Optical Lattice
9 pages, 7 figures; v4 - Expanded manuscript
Phys. Rev. B 80, 214513 (2009)
10.1103/PhysRevB.80.214513
null
cond-mat.stat-mech cond-mat.str-el hep-lat
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the phase diagram of spin-one polar condensates in a two dimensional optical lattice with magnetic anisotropy. We show that the topological binding of vorticity to nematic disclinations allows for a rich variety of phase transitions. These include Kosterlitz-Thouless-like transitions with a superfluid stiffness jump that can be experimentally tuned to take a continuous set of values, and a new cascaded Kosterlitz-Thouless transition, characterized by two divergent length scales. For higher integer spin bosons S, the thermal phase transition out of the planar polar phase is strongly affected by the parity of S.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 20:48:16 GMT" }, { "version": "v2", "created": "Tue, 18 Nov 2008 18:51:05 GMT" }, { "version": "v3", "created": "Thu, 3 Sep 2009 15:56:47 GMT" }, { "version": "v4", "created": "Wed, 4 Nov 2009 16:10:40 GMT" } ]
2013-05-29T00:00:00
[ [ "Podolsky", "Daniel", "" ], [ "Chandrasekharan", "Shailesh", "" ], [ "Vishwanath", "Ashvin", "" ] ]
0707.0696
Vasilisa Shramchenko
Vasilisa Shramchenko
Riemann-Hilbert problem associated to Frobenius manifold structures on Hurwitz spaces: irregular singularity
41 page, 11 figures
Duke Math. J. 144, no. 1, 1-52 (2008)
null
null
math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Solutions to the Riemann-Hilbert problems with irregular singularities naturally associated to semisimple Frobenius manifold structures on Hurwitz spaces (moduli spaces of meromorphic functions on Riemann surfaces) are constructed. The solutions are given in terms of meromorphic bidifferentials defined on the underlying Riemann surface. The relationship between different classes of Frobenius manifold structures on Hurwitz spaces (real doubles, deformations) is described on the level of the corresponding Riemann-Hilbert problems.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 20:19:39 GMT" }, { "version": "v2", "created": "Mon, 22 Sep 2008 19:42:30 GMT" } ]
2008-09-22T00:00:00
[ [ "Shramchenko", "Vasilisa", "" ] ]
0707.0697
Evgueni Goudzovski
J.R. Batley, et al
Search for direct CP violating charge asymmetries in $K^\pm\to\pi^\pm\pi^+\pi^-$ and $K^\pm\to\pi^\pm\pi^0\pi^0$ decays
29 pages, 9 figures. An updated version accepted by the EPJC
Eur.Phys.J.C52:875-891,2007
10.1140/epjc/s10052-007-0456-7
CERN-PH-EP/2007-021
hep-ex
null
A measurement of the direct CP violating charge asymmetries of the Dalitz plot linear slopes $A_g=(g^+-g^-)/(g^++g^-)$ in $K^\pm\to\pi^\pm\pi^+\pi^-$ and $K^\pm\to\pi^\pm\pi^0\pi^0$ decays by the NA48/2 experiment at CERN SPS is presented. A new technique of asymmetry measurement involving simultaneous $K^+$ and $K^-$ beams and a large data sample collected allowed a result of an unprecedented precision. The charge asymmetries were measured to be $A^c_g=(-1.5\pm2.2)\times10^{-4}$ with $3.11\times 10^9$ $K^{\pm}\to\pi^\pm\pi^+\pi^-$ decays, and $A^n_g=(1.8\pm1.8)\times10^{-4}$ with $9.13\times 10^7$ $K^{\pm}\to\pi^\pm\pi^0\pi^0$ decays. The precision of the results is limited mainly by the size of the data sample.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 21:37:23 GMT" }, { "version": "v2", "created": "Wed, 17 Oct 2007 13:16:52 GMT" } ]
2008-11-26T00:00:00
[ [ "Batley", "J. R.", "" ] ]
0707.0698
Hans Vernaeve
Hans Vernaeve
Ideals in the ring of Colombeau generalized numbers
null
Comm. Alg. (2010) 38 (6): 2199-2228
null
null
math.RA
null
In this paper, the structure of the ideals in the ring of Colombeau generalized numbers is investigated. Connections with the theories of exchange rings, Gelfand rings and lattice-ordered rings are given. Characterizations for prime, projective, pure and topologically closed ideals are given, answering in particular the questions about prime ideals in [Aragona-Juriaans]. Also z-ideals in the sense of [Mason] are characterized. The quotient rings modulo maximal ideals are shown to be canonically isomorphic with nonstandard fields of asymptotic numbers. Finally, a detailed study of the ideals allows us to prove that (under some set-theoretic assumption) the Hahn-Banach extension property does not hold for a large class of topological modules over the ring of Colombeau generalized numbers.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 21:20:22 GMT" } ]
2014-04-01T00:00:00
[ [ "Vernaeve", "Hans", "" ] ]
0707.0699
Jordan Bell
Leonhard Euler
A double demonstration of a theorem of Newton, which gives a relation between the coefficient of an algebraic equation and the sums of the powers of its roots
9 pages
null
null
null
math.HO math.CA math.GM
null
Translation from the Latin original, "Demonstratio gemina theorematis Neutoniani, quo traditur relatio inter coefficientes cuiusvis aequationis algebraicae et summas potestatum radicum eiusdem" (1747). E153 in the Enestrom index. In this paper Euler gives two proofs of Newton's identities, which express the sums of powers of the roots of a polynomial in terms of its coefficients. The first proof takes the derivative of a logarithm. The second proof uses induction and the fact that in a polynomial of degree $n$, the coefficient of $x^{n-k}$ is equal to the sum of the products of $k$ roots, times $(-1)^k$.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 21:37:45 GMT" } ]
2007-07-06T00:00:00
[ [ "Euler", "Leonhard", "" ] ]
0707.0700
Joao Strapasson E
Jos\'e C. Cifuente, Jo\~ao E. Strapasson, Ana C. Corr\^ea and Patr\'icia M. Kitani
The Ring of Integers in the Canonical Structures of the Planes
9 pages
null
null
null
math.RA math.AC
null
The \emph{canonical structures of the plane} are those that result, up to isomorphism, from the rings that have the form $\mathds{R}[x]/(ax^2+bx+c)$ with $a\neq 0$.That ring is isomorphic to $\mathds{R}[\theta]$, where $\theta$ is the equivalence class of x, which satisfies $\theta^2 = (-\dfrac{c}{a}) + \theta (-\dfrac{b}{a})$. On the other hand, it is known that, up to isomorphism, there are only three canonical structures: the corresponding to $\theta^2 = -1$ (the complex numbers), $\theta^2 = 1$ (the perplex or hyperbolic numbers) and $\theta^2 = 0$ (the parabolic numbers). This article copes with the algebraic structure of the rings of integers $\mathds{Z}[\theta]$ in the perplex and parabolic cases by \emph{analogy} to the complex cases: the ring of Gaussian integers. For those rings a \emph{division algorithm} is proved and it is obtained, as a consequence, the characterization of the prime and irreducible elements.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 14:48:29 GMT" } ]
2007-07-06T00:00:00
[ [ "Cifuente", "José C.", "" ], [ "Strapasson", "João E.", "" ], [ "Corrêa", "Ana C.", "" ], [ "Kitani", "Patrícia M.", "" ] ]
0707.0701
Alexandre d'Aspremont
Ronny Luss, Alexandre d'Aspremont
Clustering and Feature Selection using Sparse Principal Component Analysis
More experiments
null
null
null
cs.AI cs.LG cs.MS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we study the application of sparse principal component analysis (PCA) to clustering and feature selection problems. Sparse PCA seeks sparse factors, or linear combinations of the data variables, explaining a maximum amount of variance in the data while having only a limited number of nonzero coefficients. PCA is often used as a simple clustering technique and sparse factors allow us here to interpret the clusters in terms of a reduced set of variables. We begin with a brief introduction and motivation on sparse PCA and detail our implementation of the algorithm in d'Aspremont et al. (2005). We then apply these results to some classic clustering and feature selection problems arising in biology.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 21:53:11 GMT" }, { "version": "v2", "created": "Wed, 8 Oct 2008 18:41:53 GMT" } ]
2008-10-08T00:00:00
[ [ "Luss", "Ronny", "" ], [ "d'Aspremont", "Alexandre", "" ] ]
0707.0702
Alex Lazarian
Alex Lazarian
Diffusion Processes in Turbulent Magnetic Fields
3 figures, 11 pages, to be published in AIP volume of "Turbulence and Non-linear Processes in Astrophysical Plasmas"
AIPConf.Proc.932:58-68,2007
10.1063/1.2778946
null
astro-ph
null
We study of the effect of turbulence on diffusion processes within magnetized medium. While we exemplify our treatment with heat transfer processes, our results are quite general and are applicable to different processes, e.g. diffusion of heavy elements. Our treatment is also applicable to describing the diffusion of cosmic rays arising from magnetic field wandering. In particular, we find that when the energy injection velocity is smaller than the Alfven speed the heat transfer is partially suppressed, while in the opposite regime the effects of turbulence depend on the intensity of driving. In fact, the scale $l_A$ at which the turbulent velocity is equal the Alfven velocity is a new important parameter. When the electron mean free path $\lambda$ is larger than $l_A$, the stronger the the turbulence, the lower thermal conductivity by electrons is. The turbulent motions, however, induces their own advective transport, that can provide effective diffusivity. For clusters of galaxies, we find that the turbulence is the most important agent for heat transfer. We also show that the domain of applicability of the subdiffusion concept is rather limited.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 21:58:24 GMT" }, { "version": "v2", "created": "Thu, 5 Jul 2007 20:50:16 GMT" } ]
2008-11-26T00:00:00
[ [ "Lazarian", "Alex", "" ] ]
0707.0703
Julian Milano
J. Milano, L. B. Steren, A. H. V. Repetto Llamazares, V. Garcia, M. Marangolo, M. Eddrief, V. H. Etgens
Detection of the magneto-structural phase coexistence in MnAs epilayers at a very early stage
8 pages, 5 figures
Applied Physics Letters Volume 92, Issue 3, 2008, Article number 032503
10.1063/1.2837178
null
cond-mat.mtrl-sci
null
We report on the appearance of magnetic stripes in MnAs/GaAs(100) epilayers at temperatures well below the ferromagnetic transition of the system. The study has been performed by ferromagnetic resonance experiments (FMR) on MnAs epilayers grown on (100) and (111) GaAs substrates. The FMR spectra of the MnAs/GaAs(100) samples at 180 K reveal the appearance of zones of different magnetic behavior with respect to the low-temperature homogeneous ferromagnetic phase. The angular and the temperature dependence of the spectra serve us to detect the inter-growth of the non-magnetic phase into the ferromagnetic phase at a very early stage of the process. The experimental data show that the new phase nucleates in a self-arranged array of stripes in MnAs/GaAs(100) thin films while it grows randomly in the same films grown on GaAs(111).
[ { "version": "v1", "created": "Wed, 4 Jul 2007 22:09:34 GMT" } ]
2014-02-26T00:00:00
[ [ "Milano", "J.", "" ], [ "Steren", "L. B.", "" ], [ "Llamazares", "A. H. V. Repetto", "" ], [ "Garcia", "V.", "" ], [ "Marangolo", "M.", "" ], [ "Eddrief", "M.", "" ], [ "Etgens", "V. H.", "" ] ]
0707.0704
Alexandre d'Aspremont
Onureena Banerjee, Laurent El Ghaoui, Alexandre d'Aspremont
Model Selection Through Sparse Maximum Likelihood Estimation
null
null
null
null
cs.AI cs.LG
null
We consider the problem of estimating the parameters of a Gaussian or binary distribution in such a way that the resulting undirected graphical model is sparse. Our approach is to solve a maximum likelihood problem with an added l_1-norm penalty term. The problem as formulated is convex but the memory requirements and complexity of existing interior point methods are prohibitive for problems with more than tens of nodes. We present two new algorithms for solving problems with at least a thousand nodes in the Gaussian case. Our first algorithm uses block coordinate descent, and can be interpreted as recursive l_1-norm penalized regression. Our second algorithm, based on Nesterov's first order method, yields a complexity estimate with a better dependence on problem size than existing interior point methods. Using a log determinant relaxation of the log partition function (Wainwright & Jordan (2006)), we show that these same algorithms can be used to solve an approximate sparse maximum likelihood problem for the binary case. We test our algorithms on synthetic data, as well as on gene expression and senate voting records data.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 22:13:42 GMT" } ]
2007-07-06T00:00:00
[ [ "Banerjee", "Onureena", "" ], [ "Ghaoui", "Laurent El", "" ], [ "d'Aspremont", "Alexandre", "" ] ]
0707.0705
Alexandre d'Aspremont
Alexandre d'Aspremont, Francis Bach, Laurent El Ghaoui
Optimal Solutions for Sparse Principal Component Analysis
Revised journal version. More efficient optimality conditions and new examples in subset selection and sparse recovery. Original version is in ICML proceedings
null
null
null
cs.AI cs.LG
null
Given a sample covariance matrix, we examine the problem of maximizing the variance explained by a linear combination of the input variables while constraining the number of nonzero coefficients in this combination. This is known as sparse principal component analysis and has a wide array of applications in machine learning and engineering. We formulate a new semidefinite relaxation to this problem and derive a greedy algorithm that computes a full set of good solutions for all target numbers of non zero coefficients, with total complexity O(n^3), where n is the number of variables. We then use the same relaxation to derive sufficient conditions for global optimality of a solution, which can be tested in O(n^3) per pattern. We discuss applications in subset selection and sparse recovery and show on artificial examples and biological data that our algorithm does provide globally optimal solutions in many cases.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 22:28:28 GMT" }, { "version": "v2", "created": "Fri, 3 Aug 2007 22:30:22 GMT" }, { "version": "v3", "created": "Fri, 24 Aug 2007 00:49:31 GMT" }, { "version": "v4", "created": "Fri, 9 Nov 2007 17:27:11 GMT" } ]
2011-11-10T00:00:00
[ [ "d'Aspremont", "Alexandre", "" ], [ "Bach", "Francis", "" ], [ "Ghaoui", "Laurent El", "" ] ]
0707.0706
Owen Pavel Fernandez Piedra
Owen Pavel Fernandez Piedra and Alejandro Cabo Montes de Oca
Quantization of massive scalar fields over static black string backgrounds
4 pages
Phys.Rev.D75:107501,2007
10.1103/PhysRevD.75.107501
null
gr-qc
null
The renormalized mean value of the corresponding components of the Energy-Momentum tensor for massive scalar fields coupled to an arbitrary gravitational field configuration having cylindrical symmetry are analytically evaluated using the Schwinger-DeWitt approximation, up to second order in the inverse mass value. The general results are employed to explicitly derive compact analytical expressions for the Energy-Momentum tensor in the particular background of the Black-String spacetime. In the case of the Black String considered in this work, we proof that a violation of the weak energy condition occur at the horizon of the space-time for values of the coupling constant, that include as particular cases the most interesting of minimal and conformal coupling.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 22:37:56 GMT" } ]
2008-11-26T00:00:00
[ [ "Piedra", "Owen Pavel Fernandez", "" ], [ "de Oca", "Alejandro Cabo Montes", "" ] ]
0707.0707
Andreas Heider
Andreas Heider
Two results from Morita theory of stable model categories
69 pages
null
null
null
math.AT
null
We prove two results from Morita theory of stable model categories. Both can be regarded as topological versions of recent algebraic theorems. One is on recollements of triangulated categories, which have been studied in the algebraic case by J{\o}rgensen. We give a criterion which answers the following question: When is there a recollement for the derived category of a given symmetric ring spectrum in terms of two other symmetric ring spectra? The other result is on well generated triangulated categories in the sense of Neeman. Porta characterizes the algebraic well generated categories as localizations of derived categories of DG categories. We prove a topological analogon: a topological triangulated category is well generated if and only if it is triangulated equivalent to a localization of the derived category of a symmetric ring spectrum with several objects. Here `topological' means triangulated equivalent to the homotopy category of a spectral model category. Moreover, we show that every well generated spectral model category is Quillen equivalent to a Bousfield localization of a category of modules via a single Quillen functor.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 23:00:17 GMT" } ]
2007-07-06T00:00:00
[ [ "Heider", "Andreas", "" ] ]
0707.0708
Owen Pavel Fernandez Piedra
Owen Pavel Fernandez Piedra and Alejandro Cabo Montes de Oca
Vacuum polarization of massive spinor fields in static black-string backgrounds
15 pages, few corrections are done in this version
Phys.Rev.D77:024044,2008
10.1103/PhysRevD.77.024044
null
gr-qc
null
The renormalized mean value of the quantum Lagrangian and the corresponding components of the Energy-Momentum tensor for massive spinor fields coupled to an arbitrary gravitational field configuration having cylindrical symmetry are analytically evaluated using the Schwinger-DeWitt approximation, up to second order in the inverse mass value. The general results are employed to explicitly derive compact analytical expressions for the quantum mean Lagrangian and Energy- Momentum tensor in the particular background of the Black-String space-time.
[ { "version": "v1", "created": "Wed, 4 Jul 2007 22:55:23 GMT" }, { "version": "v2", "created": "Sun, 2 Sep 2007 15:54:02 GMT" } ]
2008-11-26T00:00:00
[ [ "Piedra", "Owen Pavel Fernandez", "" ], [ "de Oca", "Alejandro Cabo Montes", "" ] ]
0707.0709
Shai Ronen
Shai Ronen and John Bohn
Dipolar Bose-Einstein condensates at Finite temperature
9 figures
null
10.1103/PhysRevA.76.043607
null
cond-mat.stat-mech
null
We study a Bose-Einstein condensate (BEC) of a dilute gas with dipolar interactions, at finite temperature, using the Hartree-Fock-Bogoliubov (HFB) theory within the Popov approximation. An additional approximation involving the dipolar exchange interaction is made to facilitate the computation. We calculate the temperature dependence of the condensate fraction of a condensate confined in a cylindrically symmetric harmonic trap. We show that the bi-concave shaped condensates found in Ref. \cite{Ronen07} in certain pancake traps at zero temperature, are also stable at finite temperature. Surprisingly, the dip in the central density of these structured condensates is actually enhanced at low finite temperatures. We explain this effect.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 00:16:23 GMT" } ]
2009-11-13T00:00:00
[ [ "Ronen", "Shai", "" ], [ "Bohn", "John", "" ] ]
0707.0710
Gargi Chaudhuri
G. Chaudhuri, S. Das Gupta, W. G. Lynch, M. Mocko, and M. B. Tsang
Cross-sections of neutron rich nuclei from projectile fragmentation: canonical thermodynamic model estimates
10 pages, 4 figures
Phys.Rev.C76:067601,2007
10.1103/PhysRevC.76.067601
null
nucl-th
null
A remarkably simple dependence of fragmentation cross-section on average binding energy has been established in experimental data. This dependence was empirically parametrised leading to a very useful formula for extrapolation. We find that the canonical thermodynamic model, which has been used in the past for successful computations of many observables resulting from multifragmentation, reproduces the salient fetures of fragmentation cross-sections of very neutron rich nuclei very well. This helps towards a theoretical understanding of the observed data.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 01:13:08 GMT" } ]
2008-11-26T00:00:00
[ [ "Chaudhuri", "G.", "" ], [ "Gupta", "S. Das", "" ], [ "Lynch", "W. G.", "" ], [ "Mocko", "M.", "" ], [ "Tsang", "M. B.", "" ] ]
0707.0711
Ilya Mandel
Ilya Mandel
Spin distribution following minor mergers and the effect of spin on the detection range for low-mass-ratio inspirals
18 pages, 5 figures
null
null
null
astro-ph gr-qc
null
We compute the probability distribution for the spin of a black hole following a series of minor mergers with isotropically distributed, non-spinning, inspiraling compact objects. By solving the Fokker-Planck equation governing this stochastic process, we obtain accurate analytical fits for the evolution of the mean and standard deviation of the spin distribution in several parameter regimes. We complement these analytical fits with numerical Monte-Carlo simulations in situations when the Fokker-Planck analysis is not applicable. We find that a ~150 solar-mass intermediate-mass black hole that gained half of its mass through minor mergers with neutron stars will have dimensionless spin parameter chi=a/M~0.2 \pm 0.08. We estimate the effect of the spin of the central black hole on the detection range for intermediate-mass-ratio inspiral (IMRI) detections by Advanced LIGO and extreme-mass-ratio inspiral(EMRI) detections by LISA. We find that for realistic black hole spins, the inclination-averaged Advanced-LIGO IMRI detection range may be increased by up to 10% relative to the range for IMRIs into non-spinning intermediate-mass black holes. For LISA, we find that the detection range for EMRIs into 10^5 solar-mass massive black holes (MBHs) is not significantly affected by MBH spin, the range for EMRIs into 10^6 solar-mass MBHs is affected at the ~ 10% level, and EMRIs into maximally spinning 10^7 solar-mass MBHs are detectable to a distance ~25 times greater than EMRIs into non-spinning black holes. The resulting bias in favor of detecting EMRIs into rapidly spinning MBHs will play a role when extracting the MBH spin distribution from EMRI statistics.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 01:16:07 GMT" } ]
2007-07-06T00:00:00
[ [ "Mandel", "Ilya", "" ] ]
0707.0712
Christopher J. Hillar
Christopher J. Hillar, Charles R. Johnson
On the Positivity of the Coefficients of a Certain Polynomial Defined by Two Positive Definite Matrices
7 pages, J. Statistical Physics
null
null
null
math-ph math.MP math.OC
null
It is shown that the polynomial \[p(t) = \text{Tr}[(A+tB)^m]\] has positive coefficients when $m = 6$ and $A$ and $B$ are any two 3-by-3 complex Hermitian positive definite matrices. This case is the first that is not covered by prior, general results. This problem arises from a conjecture raised by Bessis, Moussa and Villani in connection with a long-standing problem in theoretical physics. The full conjecture, as shown recently by Lieb and Seiringer, is equivalent to $p(t)$ having positive coefficients for any $m$ and any two $n$-by-$n$ positive definite matrices. We show that, generally, the question in the real case reduces to that of singular $A$ and $B$, and this is a key part of our proof.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 03:09:22 GMT" } ]
2007-07-06T00:00:00
[ [ "Hillar", "Christopher J.", "" ], [ "Johnson", "Charles R.", "" ] ]
0707.0713
Hoshang Heydari
Hoshang Heydari
Algebraic structures of multipartite quantum systems
7 pages
International Journal of Quantum Information (IJQI), Vol. 6, No. 6 (2008) 1149 - 1154
null
null
quant-ph
null
We investigate the relation between multilinear mappings and multipartite states. We show that the isomorphism between multilinear mapping and tensor product completely characterizes decomposable multipartite states in a mathematically well-defined manner.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 03:18:47 GMT" } ]
2009-01-02T00:00:00
[ [ "Heydari", "Hoshang", "" ] ]
0707.0714
Israel Quiros
Israel Quiros
Time-like vs Space-like Extra Dimensions
5 pages, no figures
null
null
null
gr-qc hep-ph
null
Higher-dimensional theories with time-like and space-like extra dimensions are compared both from the conceptual and from the phenomenological points of view. In this context causality and unitarity are discussed. It is shown that additional time-like dimensions allow to recover four-dimensional phenomenology without invoking neither Kaluza-Klein compactification procedure nor brane world construct. It is shown, also, that contrary to scenarios with space-like extra dimensions, in higher-dimensional space-times with additional time-like dimensions the cosmological constant problem can be safely solved.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 04:30:53 GMT" } ]
2007-07-11T00:00:00
[ [ "Quiros", "Israel", "" ] ]
0707.0715
Neda Zoltan
Robert Deak, Zoltan Neda, Peter B. Barna
An improved kinetic Monte Carlo approach for epitaxial submonolayer growth
12 pages, 6 figures
null
null
null
cond-mat.soft cond-mat.mtrl-sci
null
Two-component submonolayer growth on triangular lattice is qualitatively studied by kinetic Monte Carlo techniques. The hopping barrier governing surface diffusion of the atoms is estimated with an improved formula and using realistic pair interaction potentials. Realistic degrees of freedoms enhancing the surface diffusion of atoms are also introduced. The main advantages of the presented technique are the reduced number of free parameters and the clear diffusion activated mechanism for the segregation of different types of atoms. The potential of this method is exemplified by reproducing (i) vacancy and stacking fault related phase-boundary creation and dynamics; (ii) a special co-deposition and segregation process where the segregated atoms of the second component surrounds the islands formed by the first type of atoms.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 14:48:42 GMT" } ]
2007-07-06T00:00:00
[ [ "Deak", "Robert", "" ], [ "Neda", "Zoltan", "" ], [ "Barna", "Peter B.", "" ] ]
0707.0716
Jong-Chul Park
Hae Young Cho and Jong-Chul Park
Dynamical $U(1)_R$ Breaking in the Metastable Vacua
1+13pages, 2figures; references added, minor changes, conclusions unchanged; Matches published version
JHEP0709:122,2007
10.1088/1126-6708/2007/09/122
null
hep-ph
null
In the Intriligator-Seiberg-Shih model, we parametrize spontaneous breaking of $U(1)_R$ symmetry with two gauge singlets with R-charges 1 and --1. These singlets can play the role of the messengers. The messenger scale is dynamically generated, and hence there is no hierarchy problem between the supersymmetry breaking scale and the messenger scale. In the gauge mediation scenario, supersymmetry breaking scale turns out to be around $\mathcal{O}(10^6)\textrm{GeV}$.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 05:23:08 GMT" }, { "version": "v2", "created": "Tue, 2 Oct 2007 07:12:27 GMT" } ]
2008-11-26T00:00:00
[ [ "Cho", "Hae Young", "" ], [ "Park", "Jong-Chul", "" ] ]
0707.0717
Jesper Rasmussen
Jesper Rasmussen, Trevor J. Ponman (University of Birmingham, UK)
Temperature and abundance profiles of hot gas in galaxy groups - I. Results and statistical analysis
21 pages, 11 figures, accepted for publication in MNRAS
null
10.1111/j.1365-2966.2007.12191.x
null
astro-ph
null
The distribution of metals in groups of galaxies holds important information about the chemical enrichment history of the Universe. Here we present radial profiles of temperature and the abundance of iron and silicon of the hot intragroup medium for a sample of 15 nearby groups of galaxies observed by Chandra, selected for their regular X-ray morphology. All but one group display a cool core, the size of which is found to correlate with the mean temperature of the group derived outside this core. When scaled to this mean temperature, the temperature profiles are remarkably similar, being analogous to those of more massive clusters at large radii but significantly flatter inwards of the temperature peak. The Fe abundance generally shows a central excess followed by a radial decline, reaching a typical value of 0.1 solar within r_500, a factor of two lower than corresponding results for clusters. Si shows less systematic radial variation, on average displaying a less pronounced decline than Fe and showing evidence for a flattening at large radii. Off-centre abundance peaks are seen both for Fe and Si in a number of groups with well-resolved cores. Derived abundance ratios indicate that supernovae type Ia are responsible for 80 per cent of the Fe in the group core, but the type II contribution increases with radius and completely dominates at r_500. We present fitting formulae for the radial dependence of temperature and abundances, to facilitate comparison to results of numerical simulations of group formation and evolution. In a companion paper, we discuss the implications of these results for feedback and enrichment in galaxy groups.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 14:50:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Rasmussen", "Jesper", "", "University of Birmingham, UK" ], [ "Ponman", "Trevor J.", "", "University of Birmingham, UK" ] ]
0707.0718
Nils-Peter Skoruppa
Nils-Peter Skoruppa
Jacobi Forms of Critical Weight and Weil Representations
null
null
null
null
math.NT
null
Jacobi forms can be considered as vector valued modular forms, and Jacobi forms of critical weight correspond to vector valued modular forms of weight $\frac12$. Since the only modular forms of weight $\frac12$ on congruence subgroups of $\SL$ are theta series the theory of Jacobi forms of critical weight is intimately related to the theory of Weil representations of finite quadratic modules. This article explains this relation in detail, gives an account of various facts about Weil representations which are useful in this context, and it gives some applications of the theory developed herein by proving various vanishing theorems and by proving a conjecture on Jacobi forms of weight one on $\SL$ with character.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 05:52:53 GMT" } ]
2007-07-06T00:00:00
[ [ "Skoruppa", "Nils-Peter", "" ] ]
0707.0719
Kourosh Nozari
Kourosh Nozari
Embedding of FRW Cosmology in DGP Scenario with a Non-Minimally Coupled Scalar Field on the Brane
14 pages, no figure
Phys.Lett.B652:159-164,2007
10.1016/j.physletb.2007.07.015
null
hep-th
null
We construct a DGP inspired braneworld scenario where a scalar field non-minimally coupled to the induced Ricci curvature is present on the brane. We show that this model allows for an embedding of the standard Friedmann cosmology in the sense that the cosmological evolution of the background metric on the brane can be described by the standard Friedmann equation. The relation between our framework and the dark-energy formalism is explored.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 05:59:20 GMT" } ]
2008-11-26T00:00:00
[ [ "Nozari", "Kourosh", "" ] ]
0707.0720
S N Sandhya
S. N.Sandhya
Non-classical photon pair generation in atomic vapours
18 pages, 7 figures
Phys. Rev. A 76 013802 (2007)
10.1103/PhysRevA.76.013802
null
quant-ph
null
A scheme for the generation of non-classical pairs of photons in atomic vapours is proposed. The scheme exploits the fact that the cross correlation of the emission of photons from the extreme transitions of a four-level cascade system shows anti-bunching which has not been reported earlier and which is unlike the case of the three level cascade emission which shows bunching. The Cauchy-Schwarz inequality which is the ratio of cross-correlation to the auto correlation function in this case is estimated to be $10^3-10^6$ for controllable time delay, and is one to four orders of magnitude larger compared to previous experiments. The choice of Doppler free geometry in addition to the fact that at three photon resonance the excitation/deexcitation processes occur in a very narrow frequency band, ensures cleaner signals.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 06:03:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Sandhya", "S. N.", "" ] ]
0707.0721
Cosimo Bambi
Cosimo Bambi
Primordial antimatter in the contemporary universe
8 pages. Talk presented at "SciNeGHE07", 18 - 20 June 2007, Frascati, Rome, Italy
Frascati Phys. Ser. 45, 129 (2007)
null
null
hep-ph
null
In some baryogenesis scenarios, the universe acquires a non-vanishing average baryonic charge, but the baryon to photon ratio is not spatially constant and can be even negative in some space regions. This allows for existence of lumps of antimatter in our neighborhood and the possibility that very compact antimatter objects make a part of cosmological dark matter. Here I discuss the peculiar signatures which may be observed in a near future.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 06:26:00 GMT" }, { "version": "v2", "created": "Wed, 11 Jul 2007 20:25:04 GMT" } ]
2008-05-14T00:00:00
[ [ "Bambi", "Cosimo", "" ] ]
0707.0722
Damian Swift
Damian C. Swift
X-ray diffraction from shock-loaded polycrystals
null
Review of Scientific Instruments, vol 79, no 1, 013906 (2008)
10.1063/1.2833824
LA-UR-04-8534
cond-mat.other cond-mat.mtrl-sci
null
X-ray diffraction was demonstrated from shock-compressed polycrystalline metal on nanosecond time scales. Laser ablation was used to induce shock waves in polycrystalline foils of Be, 25 to 125 microns thick. A second laser pulse was used to generate a plasma x-ray source by irradiation of a Ti foil. The x-ray source was collimated to produce a beam of controllable diameter, and the beam was directed at the Be sample. X-rays were diffracted from the sample, and detected using films and x-ray streak cameras. The diffraction angle was observed to change with shock pressure. The diffraction angles were consistent with the uniaxial (elastic) and isotropic (plastic) compressions expected for the loading conditions used. Polycrystalline diffraction will be used to measure the response of the crystal lattice to high shock pressures and through phase changes.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 06:27:56 GMT" } ]
2008-01-23T00:00:00
[ [ "Swift", "Damian C.", "" ] ]
0707.0723
Yasutaka Taniguchi
Yasutaka Taniguchi, Masaaki Kimura, Yoshiko Kanada-En'yo and Hisashi Horiuchi
Clustering and Triaxial Deformations of $^{40}$Ca
11pages, 9 figures
Phys.Rev.C76:044317,2007
10.1103/PhysRevC.76.044317
null
nucl-th
null
We have studied the positive-parity states of $^{40}$Ca using antisymmetrized molecular dynamics (AMD) and the generator coordinate method (GCM). Imposing two different kinds of constraints on the variational calculation, we have found various kinds of $^{40}{\rm Ca}$ structures such as a deformed-shell structure, as well as $\alpha$-$^{36}$Ar and $^{12}$C-$^{28}$Si cluster structures. After the GCM calculation, we obtained a normal-deformed band and a superdeformed band together with their side bands associated with triaxial deformation. The calculated $B(E2)$ values agreed well with empirical data. It was also found that the normal-deformed and superdeformed bands have a non-negligible $\alpha$-$^{36}$Ar cluster component and $^{12}$C-$^{28}$Si cluster component, respectively. This leads to the presence of an $\alpha$-$^{36}$Ar higher-nodal band occurring above the normal-deformed band.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 06:33:03 GMT" } ]
2008-11-26T00:00:00
[ [ "Taniguchi", "Yasutaka", "" ], [ "Kimura", "Masaaki", "" ], [ "Kanada-En'yo", "Yoshiko", "" ], [ "Horiuchi", "Hisashi", "" ] ]
0707.0724
Damien Chablat
Daniel Kanaan (IRCCyN), Philippe Wenger (IRCCyN), Damien Chablat (IRCCyN)
Workspace Analysis of the Parallel Module of the VERNE Machine
null
Problems of Mechanics 25, 4 (01/12/2006) 26-42
null
null
cs.RO physics.class-ph
null
The paper addresses geometric aspects of a spatial three-degree-of-freedom parallel module, which is the parallel module of a hybrid serial-parallel 5-axis machine tool. This parallel module consists of a moving platform that is connected to a fixed base by three non-identical legs. Each leg is made up of one prismatic and two pairs of spherical joint, which are connected in a way that the combined effects of the three legs lead to an over-constrained mechanism with complex motion. This motion is defined as a simultaneous combination of rotation and translation. A method for computing the complete workspace of the VERNE parallel module for various tool lengths is presented. An algorithm describing this method is also introduced.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 06:43:49 GMT" } ]
2007-07-06T00:00:00
[ [ "Kanaan", "Daniel", "", "IRCCyN" ], [ "Wenger", "Philippe", "", "IRCCyN" ], [ "Chablat", "Damien", "", "IRCCyN" ] ]
0707.0725
Peihao Huang
Peihao Huang and H. Zheng
Quantum dynamics of a qubit coupled with structured bath
25 pages, 11 figures
J. Phys.: Condens. Matter 20 (2008) 395233
10.1088/0953-8984/20/39/395233
null
cond-mat.dis-nn cond-mat.mes-hall
null
The dynamics of an unbiased spin-boson model with Lorentzian spectral density is investigated theoretically in terms of the perturbation theory based on a unitary transformation. The non-equilibrium correlation function $P(t)$ and susceptibility $\chi^{\prime\prime}(\omega)$ are calculated for both the off-resonance case $\Delta\lesssim 0.5\Omega$ and the on-resonance case $\Delta\sim \Omega$. The approach is checked by the Shiba's relation and the sum rule. Besides, the coherent-incoherent transition point $\alpha_c$ can be determined, which has not been demonstrated for the structured bath by previous authors up to our knowledge.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 07:04:29 GMT" }, { "version": "v2", "created": "Sun, 8 Jul 2007 12:51:49 GMT" }, { "version": "v3", "created": "Fri, 26 Oct 2007 09:36:07 GMT" } ]
2008-11-30T00:00:00
[ [ "Huang", "Peihao", "" ], [ "Zheng", "H.", "" ] ]
0707.0726
Carsten Gundlach
David Garfinkle, Carsten Gundlach, David Hilditch
Comments on Bona-Masso type slicing conditions in long-term black hole evolutions
14 pages, LaTex, psfrag
Class.Quant.Grav.25:075007,2008
10.1088/0264-9381/25/7/075007
null
gr-qc
null
We review in generality why time-independent endstates can be reached in black hole and collapse simulations, with and without excision. We characterise the Killing states of the Bona-Masso slicing condition with time derivative along the normals to the slice ("BMn") as solutions of a mixed elliptic/hyperbolic differential equation on the slice. We show numerically that these steady states can be reached as end states from typical initial data with excision but can be reached with the puncture method only if the puncture is not numerically well resolved. During the evolution, BMn slicings often form gauge shocks. It may be that these are not seen in current 3D simulations only through lack of resolution, although we expect that they can be avoided with some care. Finally we point out that excision with BMn as currently implemented is ill-posed and therefore not expected to converge; this can be cured. In technical appendixes, we derive the equations of pure gauge systems on a fixed spacetime, and bring the BSSN/NOR equations into 3-dimensional tensor form suitable for multiple coordinate patches or spherical polar coordinates.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 07:36:32 GMT" } ]
2008-11-26T00:00:00
[ [ "Garfinkle", "David", "" ], [ "Gundlach", "Carsten", "" ], [ "Hilditch", "David", "" ] ]
0707.0727
Giovanni Alessandrini
Giovanni Alessandrini, Vincenzo Nesi
Beltrami operators, non--symmetric elliptic equations and quantitative Jacobian bounds
27 pages
Ann. Acad. Sci. Fenn. Math. 34, 2009, 47-67
null
null
math.AP
null
In recent studies on the G-convergence of Beltrami operators, a number of issues arouse concerning injectivity properties of families of quasiconformal mappings. Bojarski, D'Onofrio, Iwaniec and Sbordone formulated a conjecture based on the existence of a so-called primary pair. Very recently, Bojarski proved the existence of one such pair. We provide a general, constructive, procedure for obtaining a new rich class of such primary pairs. This proof is obtained as a slight adaptation of previous work by the authors concerning the nonvanishing of the Jacobian of pairs of solutions of elliptic equations in divergence form in the plane. It is proven here that the results previously obtained when the coefficient matrix is symmetric also extend to the non-symmetric case. We also prove a much stronger result giving a quantitative bound for the Jacobian determinant of the so-called \emph{periodic} $\sigma$-harmonic sense preserving homeomorphisms of $\mathbb C$ onto itself.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 07:50:37 GMT" } ]
2010-11-09T00:00:00
[ [ "Alessandrini", "Giovanni", "" ], [ "Nesi", "Vincenzo", "" ] ]
0707.0728
Iosif Galanakis
K. Ozdogan, E. Sasioglu, and I. Galanakis
Engineering the electronic, magnetic and gap-related properties of the quinternary half-metallic Heusler alloys
17 pages, 10 figures
Journal of Applied Physics 103, 023503 (2008
10.1063/1.2831224
null
cond-mat.mtrl-sci
null
We review the electronic and magnetic properties of the quinternary full Heusler alloys of the type Co$_2$[Cr$_{1-x}$Mn$_x$][Al$_{1-y}$Si$_y$] employing three different approaches : (i) the coherent potential approximation (CPA), (ii) the virtual crystal approximation (VCA), and (iii) supercell calculations (SC). All three methods give similar results and the local environment manifested itself only for small details of the density of states. All alloys under study are shown to be half-metals and their total spin moments follow the so-called Slater-Pauling behavior of the ideal half-metallic systems. We especially concentrate on the properties related to the minority-spin band-gap. We present the possibility to engineer the properties of these alloys by changing the relative concentrations of the low-valent transition metal and $sp$ atoms in a continuous way. Our results show that for realistic applications, ideal are the compounds rich in Si and Cr since they combine large energy gaps (around 0.6 eV), robust half-metallicity with respect to defects (the Fermi level is located near the middle of the gap) and high values of the majority-spin density of states around the Fermi level which are needed for large values of the perfectly spin-polarized current in spintronic devices like spin-valves or magnetic tunnel junctions.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 07:54:00 GMT" } ]
2015-05-13T00:00:00
[ [ "Ozdogan", "K.", "" ], [ "Sasioglu", "E.", "" ], [ "Galanakis", "I.", "" ] ]
0707.0729
Yue Chongxing
Chong-Xing Yue, Nan Zhang, Shi-Hai Zhu
Pair production of the heavy leptons in future high energy linear e^{+}e^{-} colliders
Discussions added, typos and references corrected
Eur.Phys.J.C53:215-219,2008
10.1140/epjc/s10052-007-0455-8
null
hep-ph
null
The littlest Higgs model with T-parity predicts the existence of the T-odd particles, which can only be produced in pair. We consider pair production of the T-odd leptons in future high energy linear $e^{+}e^{-}$ collider ($ILC$). Our numerical results show that, as long as the T-odd leptons are not too heavy, they can be copiously produced and their possible signals might be detected via the processes $e^{+}e^{-}\to \bar{L}_{i}L_{j}$ in future $ILC$ experiments.
[ { "version": "v1", "created": "Thu, 5 Jul 2007 07:57:09 GMT" }, { "version": "v2", "created": "Fri, 3 Aug 2007 13:19:10 GMT" }, { "version": "v3", "created": "Sat, 15 Sep 2007 23:51:51 GMT" } ]
2008-11-26T00:00:00
[ [ "Yue", "Chong-Xing", "" ], [ "Zhang", "Nan", "" ], [ "Zhu", "Shi-Hai", "" ] ]