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0704.2701
Andrzej Sitarz
Andrzej Sitarz
Twisted Dirac Operators over Quantum Spheres
17 pages
J. Math. Phys. 49, 033509 (2008)
10.1063/1.2842067
null
math.QA math-ph math.MP
null
We construct new families of spectral triples over quantum spheres, with a particular attention focused on the standard Podles quantum sphere and twisted Dirac operators.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 12:40:09 GMT" } ]
2013-11-21T00:00:00
[ [ "Sitarz", "Andrzej", "" ] ]
0704.2702
Jens Bolte
Jens Bolte, Daniel Waltner
Semiclassical theory of ballistic transport through chaotic cavities with spin-orbit interaction
null
Phys. Rev. B 76, 075330 (2007)
10.1103/PhysRevB.76.075330
null
cond-mat.mes-hall nlin.CD
null
We investigate the influence of spin-orbit interaction on ballistic transport through chaotic cavities by using semiclassical methods. Our approach is based on the Landauer formalism and the Fisher-Lee relations, appropriately generalized to spin-orbit interaction, and a semiclassical representation of Green functions. We calculate conductance coefficients by exploiting ergodicity and mixing of suitably combined classical spin-orbit dynamics, and making use of the Sieber-Richter method and its most recent extensions. That way we obtain weak anti-localization and confirm previous results obtained in the symplectic ensemble of Random Matrix Theory.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 12:53:19 GMT" } ]
2010-02-25T00:00:00
[ [ "Bolte", "Jens", "" ], [ "Waltner", "Daniel", "" ] ]
0704.2703
Alex Tomasov Alexsandrovich
P. G. Kasherininov, A. V. Kichaev, and A. A. Tomasov
Photoelectric phenomena in structures based on high-resistivity semiconductor crystals with a thin insulator layer at the semiconductor-metal boundary
8 pages, 8 figures
Semiconductors 29 (11) (1995) 1092-1099
null
null
cond-mat.mtrl-sci
null
A previously unknown effect-giant spatial redistribution of the electric field strength in a crystal under illumination of the structure - was discovered and investigated in real photoresistors on high-resistivity (semi-insulating) semiconductor CdTe crystals (in metal-thin insulator- semiconductor-thin insulator -metal structures). A new concept is proposed for photoelectric phenomena in high- resistivity semiconductor crystals. The concept is based on the idea that the redistribution of the field under such conditions that the carrier lifetime remains unchanged under illumination plays a determining role in these phenomena. The nature of the effect is described, the dependence of the characteristics of the structures on the parameters of the crystal and the insulator layers is explained by the manifestation of this effect, and ways to produce structures with prescribed photoelectric characteristics for new devices and scientific methods are examined.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 14:06:31 GMT" } ]
2007-05-23T00:00:00
[ [ "Kasherininov", "P. G.", "" ], [ "Kichaev", "A. V.", "" ], [ "Tomasov", "A. A.", "" ] ]
0704.2704
Herma Cuppen
Q. Chang (1), H. M. Cuppen (1,2), and E. Herbst (1,3) ((1) Department of Physics, The Ohio State University, USA (2) Leiden Observatory, Leiden University, The Netherlands (3) Departments of Chemistry and Astronomy, The Ohio State University, USA)
Gas-grain chemistry in cold interstellar cloud cores with a microscopic Monte Carlo approach to surface chemistry
13 pages, 7 figures, to be published in A. & A
null
10.1051/0004-6361:20077423
null
astro-ph
null
AIM: We have recently developed a microscopic Monte Carlo approach to study surface chemistry on interstellar grains and the morphology of ice mantles. The method is designed to eliminate the problems inherent in the rate-equation formalism to surface chemistry. Here we report the first use of this method in a chemical model of cold interstellar cloud cores that includes both gas-phase and surface chemistry. The surface chemical network consists of a small number of diffusive reactions that can produce molecular oxygen, water, carbon dioxide, formaldehyde, methanol and assorted radicals. METHOD: The simulation is started by running a gas-phase model including accretion onto grains but no surface chemistry or evaporation. The starting surface consists of either flat or rough olivine. We introduce the surface chemistry of the three species H, O and CO in an iterative manner using our stochastic technique. Under the conditions of the simulation, only atomic hydrogen can evaporate to a significant extent. Although it has little effect on other gas-phase species, the evaporation of atomic hydrogen changes its gas-phase abundance, which in turn changes the flux of atomic hydrogen onto grains. The effect on the surface chemistry is treated until convergence occurs. We neglect all non-thermal desorptive processes. RESULTS: We determine the mantle abundances of assorted molecules as a function of time through 2x10^5 yr. Our method also allows determination of the abundance of each molecule in specific monolayers. The mantle results can be compared with observations of water, carbon dioxide, carbon monoxide, and methanol ices in the sources W33A and Elias 16. Other than a slight underproduction of mantle CO, our results are in very good agreement with observations.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 12:56:21 GMT" }, { "version": "v2", "created": "Thu, 24 May 2007 10:45:08 GMT" } ]
2009-11-13T00:00:00
[ [ "Chang", "Q.", "" ], [ "Cuppen", "H. M.", "" ], [ "Herbst", "E.", "" ] ]
0704.2705
Ovidiu Vaduvescu
O. Vaduvescu, M. L. McCall, M. G. Richer
Chemical Properties of Star Forming Dwarf Galaxies
Accepted in AJ (Aug 2007)
Astron.J.134:604-616,2007
10.1086/518865
null
astro-ph
null
Recent studies of the near-infrared (NIR) properties of dwarf irregular galaxies (dIs) and blue compact dwarfs (BCDs) have provided improved estimates for the NIR luminosity of old stellar populations in these galaxies. These can be used to derive gas fractions, and thereby to evaluate how BCDs have evolved with respect to dIs. Oxygen abundances have been derived for four BCDs in the Virgo Cluster from a run at Gemini-North in 2003. Combining these new abundances with published values, we study the correlations among the metallicity, Ks luminosity, gas mass, baryonic mass, and gas fraction. Within errors, the two types of dwarfs appear to share a common relation between the oxygen abundance and the luminosity in Ks. The correlation between metallicity and the gas fraction is the same for BCDs as for dIs, indicating that BCD evolution has been similar to dIs. Since dIs appear to have evolved as isolated systems, the BCD bursts are unlikely to be a consequence of gas infall or merging.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 13:02:30 GMT" } ]
2009-06-23T00:00:00
[ [ "Vaduvescu", "O.", "" ], [ "McCall", "M. L.", "" ], [ "Richer", "M. G.", "" ] ]
0704.2706
Krishnamurthi Ravishankar
L. R. G. Fontes, C. M. Newman, K. Ravishankar, E. Schertzer
The Dynamical Discrete Web
33 pages and 4 figures
null
null
null
math.PR math-ph math.MP
null
The dynamical discrete web (DDW), introduced in recent work of Howitt and Warren, is a system of coalescing simple symmetric one-dimensional random walks which evolve in an extra continuous dynamical parameter s. The evolution is by independent updating of the underlying Bernoulli variables indexed by discrete space-time that define the discrete web at any fixed s. In this paper, we study the existence of exceptional (random) values of s where the paths of the web do not behave like usual random walks and the Hausdorff dimension of the set of such exceptional s. Our results are motivated by those about exceptional times for dynamical percolation in high dimension by H\"aggstrom, Peres and Steif, and in dimension two by Schramm and Steif. The exceptional behavior of the walks in DDW is rather different from the situation for dynamical random walks of Benjamini, H\"aggstrom, Peres and Steif. In particular, we prove that there are exceptional values of s for which the walk from the origin S^s(n) has limsup S^s(n)/\sqrt n \leq K with a nontrivial dependence of the Hausdorff dimension on K. We also discuss how these and other results extend to the dynamical Brownian web, a natural scaling limit of DDW. The scaling limit is the focus of a paper in preparation; it was studied by Howitt and Warren and is related to the Brownian net of Sun and Swart.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 13:05:38 GMT" } ]
2007-05-23T00:00:00
[ [ "Fontes", "L. R. G.", "" ], [ "Newman", "C. M.", "" ], [ "Ravishankar", "K.", "" ], [ "Schertzer", "E.", "" ] ]
0704.2707
Vikram Vyas
Vikram Vyas
Spin-String Interaction in QCD Strings
19 pages, 1 figure; Published version with added discussion and references in section 5
Phys.Rev.D78:045003,2008
10.1103/PhysRevD.78.045003
null
hep-th hep-lat
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
I consider the question of the interaction between a QCD string and the spin of a quark or an antiquark on whose worldline the string terminates. The problem is analysed from the point of view of a string representation for the expectation value of a Wilson loop for a spin-half particle. A string representation of the super Wilson loop is obtained starting from an effective string representation of a Wilson Loop. The action obtained in this manner is invariant under a worldline supersymmetry and has a boundary term which contains the spin-string interaction. For rectangular loops the spin-string interaction vanishes and there is no spin-spin term in the resulting heavy quark potential. On the other hand if an allowance is made for the finite intrinsic thickness of the flux-tube, by assuming that the spin-string interaction takes place not just at the boundary of the string world-sheet but extends to a distance of the order of the intrinsic thickness of the flux tube, then we do obtain a spin-spin interaction which falls as the fifth power of the distance. Such a term was previously suggested by Kogut and Parisi in the context of a flux-tube model of confinement.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 13:15:43 GMT" }, { "version": "v2", "created": "Tue, 5 Aug 2008 17:03:48 GMT" } ]
2008-11-26T00:00:00
[ [ "Vyas", "Vikram", "" ] ]
0704.2708
Matthias K\"oppe
Elke Eisenschmidt (1), Raymond Hemmecke (1), Matthias K\"oppe (1) ((1) University of Magdeburg)
Computation of Atomic Fibers of Z-Linear Maps
27 pages
Contributions to Discrete Mathematics 6 (2011), no. 2
null
null
math.CO
null
For given matrix $A\in\Z^{d\times n}$, the set $P_{b}=\{z:Az=b,z\in\Z^n_+\}$ describes the preimage or fiber of $b\in\Z^d$ under the $\Z$-linear map $f_A:\Z^n_+\to\Z^d$, $x\mapsto Ax$. The fiber $P_{b}$ is called atomic, if $P_{b}=P_{b_1}+P_{b_2}$ implies $b=b_1$ or $b=b_2$. In this paper we present a novel algorithm to compute such atomic fibers. An algorithmic solution to appearing subproblems, computational examples and applications are included as well.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 13:26:24 GMT" } ]
2017-01-03T00:00:00
[ [ "Eisenschmidt", "Elke", "" ], [ "Hemmecke", "Raymond", "" ], [ "Köppe", "Matthias", "" ] ]
0704.2709
M. Atakan Gurkan
M. Atakan G\"urkan (1) and Clovis Hopman (2) ((1) University of Amsterdam (2) Leiden University)
Resonant relaxation near a massive black hole: the dependence on eccentricity
6 pages, 5 figures, submitted to MNRAS main journal
Mon.Not.Roy.Astron.Soc.379:1083-1088,2007
10.1111/j.1365-2966.2007.11982.x
null
astro-ph
null
The orbits of stars close to a massive black hole are nearly Keplerian ellipses. Such orbits exert long term torques on each other, which lead to an enhanced angular momentum relaxation known as resonant relaxation. Under certain conditions, this process can modify the angular momentum distribution and affect the interaction rates of the stars with the massive black hole more efficiently than non-resonant relaxation. The torque on an orbit exerted by the cluster depends on the eccentricity of the orbit. In this paper, we calculate this dependence and determine the resonant relaxation timescale as a function of eccentricity. In particular, we show that the component of the torque that changes the magnitude of the angular momentum is linearly proportional to eccentricity, so resonant relaxation is much more efficient on eccentric orbits than on circular orbits.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 13:33:36 GMT" } ]
2009-06-23T00:00:00
[ [ "Gürkan", "M. Atakan", "" ], [ "Hopman", "Clovis", "" ] ]
0704.2710
Bj\"orn Voss
B. Voss, D. Koester, R. {\O}stensen, R. Napiwotzki, D. Homeier, and D. Reimers
Six New ZZ Ceti Stars from the SPY and the HQS Surveys
4 pages, 1 figure, to be published in the proceedings of the 15th European Workshop on White Dwarfs (ASP)
null
null
null
astro-ph
null
We report on the discovery of six new ZZ Ceti stars. They were selected as candidates based on preparatory photometric observations of objects from the Hamburg Quasar Survey (HQS), and based on the spectra of the Supernova Ia Progenitor Survey (SPY). Time-series photometry of 19 candidate stars was carried out at the Nordic Optical Telescope (NOT) at Roque de Los Muchachos Observatory, Spain. The new variables are relatively bright, 15.4<B<16.6. Among them is WD1150-153, which is the third ZZ Ceti star that shows photospheric CaII in its spectrum.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 13:33:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Voss", "B.", "" ], [ "Koester", "D.", "" ], [ "Østensen", "R.", "" ], [ "Napiwotzki", "R.", "" ], [ "Homeier", "D.", "" ], [ "Reimers", "D.", "" ] ]
0704.2711
Ralf Toenjes
B. Blasius, R. Toenjes
Zipf law in the popularity distribution of chess openings
5 pages, 4 figures
Phys. Rev. Lett. 103, 218701 (2009)
10.1103/PhysRevLett.103.218701
null
physics.soc-ph cond-mat.stat-mech physics.data-an
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We perform a quantitative analysis of extensive chess databases and show that the frequencies of opening moves are distributed according to a power-law with an exponent that increases linearly with the game depth, whereas the pooled distribution of all opening weights follows Zipf's law with universal exponent. We propose a simple stochastic process that is able to capture the observed playing statistics and show that the Zipf law arises from the self-similar nature of the game tree of chess. Thus, in the case of hierarchical fragmentation the scaling is truly universal and independent of a particular generating mechanism. Our findings are of relevance in general processes with composite decisions.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 13:38:20 GMT" }, { "version": "v2", "created": "Wed, 18 Nov 2009 10:08:40 GMT" } ]
2009-11-18T00:00:00
[ [ "Blasius", "B.", "" ], [ "Toenjes", "R.", "" ] ]
0704.2712
Walter Bergweiler
Walter Bergweiler, Philip J. Rippon and Gwyneth M. Stallard
Dynamics of meromorphic functions with direct or logarithmic singularities
29 pages, 2 figures; v2: some overall revision, with comments and references added; to appear in Proc. London Math. Soc
Proc. London. Math. Soc. 97 (2008), 368-400.
10.1112/plms/pdn007
null
math.CV math.DS
null
We show that if a meromorphic function has a direct singularity over infinity, then the escaping set has an unbounded component and the intersection of the escaping set with the Julia set contains continua. This intersection has an unbounded component if and only if the function has no Baker wandering domains. We also give estimates of the Hausdorff dimension and the upper box dimension of the Julia set of a meromorphic function with a logarithmic singularity over infinity. The above theorems are deduced from more general results concerning functions which have "direct or logarithmic tracts", but which need not be meromorphic in the plane. These results are obtained by using a generalization of Wiman-Valiron theory. The method is also applied to complex differential equations.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 14:03:25 GMT" }, { "version": "v2", "created": "Tue, 29 Jan 2008 16:26:06 GMT" } ]
2008-09-28T00:00:00
[ [ "Bergweiler", "Walter", "" ], [ "Rippon", "Philip J.", "" ], [ "Stallard", "Gwyneth M.", "" ] ]
0704.2713
Stephan Hell
Stephan Hell
Tverberg's theorem with constraints
16 pages, 12 figures. Accepted for publication in JCTA. Substantial revision due to the referees
null
null
null
math.CO
null
The topological Tverberg theorem claims that for any continuous map of the (q-1)(d+1)-simplex to R^d there are q disjoint faces such that their images have a non-empty intersection. This has been proved for affine maps, and if $q$ is a prime power, but not in general. We extend the topological Tverberg theorem in the following way: Pairs of vertices are forced to end up in different faces. This leads to the concept of constraint graphs. In Tverberg's theorem with constraints, we come up with a list of constraints graphs for the topological Tverberg theorem. The proof is based on connectivity results of chessboard-type complexes. Moreover, Tverberg's theorem with constraints implies new lower bounds for the number of Tverberg partitions. As a consequence, we prove Sierksma's conjecture for $d=2$, and $q=3$.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 14:05:42 GMT" }, { "version": "v2", "created": "Mon, 25 Feb 2008 21:34:10 GMT" } ]
2008-02-25T00:00:00
[ [ "Hell", "Stephan", "" ] ]
0704.2714
Sergey Morozov
S. I. Morozov
On the formation of gyration-like excitations in solid solutions
9 pages, 6 figures
null
null
0704.2714
cond-mat.supr-con
null
Measurements of thermal excitations of V-O and Y-Ba-Cu-O solid solutions have been performed by a method of inelastic neutron scattering for low-energy transfers range. Features at energy transfer about 3meV and about 5meV for V-O and Y-Ba-Cu-O accordingly were observed in neutron scattering spectra. The reason of appearance of the observed low-energy excitations are the formation of an effective potential of oxygen with broad weakly upwards bottom at the xy plane of tetragonal symmetry octahedron, which the interstitial atom occupies. The experimental observed features can be understood in the representation of hindered quantum gyration of the interstitial atom. It was assumed that O1 and O4 atoms in Y-Ba-Cu-O, as well as in V-O system, are in two-dimensional quantum-well, which has almost flat bottom formed by the surrounding atoms Cu and Ba. The possibility of formation of collective excitations of gyration-type as a result of exchange interaction of light atoms in matrix lattice is considered. The assumption is made that the existence of gyration-like excitations can play an important role for explanation of some phenomena in solid state physics, in particular in realization of high values of temperatures of superconducting transitions in high temperature superconductors.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:22:52 GMT" }, { "version": "v2", "created": "Thu, 26 Jul 2007 14:09:39 GMT" } ]
2007-07-26T00:00:00
[ [ "Morozov", "S. I.", "" ] ]
0704.2715
Zongxia Liang
Zongxia Liang
Multidimensional SDE with anticipating initial process and reflection
25pages
null
null
null
math.PR
null
In this paper, the strong solutions $ (X, L)$ of multidimensional stochastic differential equations with reflecting boundary and possible anticipating initial random variables is established. The key is to obtain some substitution formula for Stratonovich integrals via a uniform convergence of the corresponding Riemann sums and to prove continuity of functionals of $ (X, L)$.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 14:09:55 GMT" } ]
2007-05-23T00:00:00
[ [ "Liang", "Zongxia", "" ] ]
0704.2716
J. Marshall Ash
J. M. Ash, M. A. Ash, and P. F. Ash
Constructing a quadrilateral inside another one
null
null
null
null
math.GM
null
Connect each vertex of a convex quadrilateral Q to the midpoint of the next (proceeding counterclockwise) side. The four connecting lines create an interior quadrilateral I. We study the ratio area(I)/area(Q). We also determine what happens to area(I)/area(Q) when the four midpoints are replaced by points which divide the sides in the ratio of rho to (1-rho) proceeding clockwise. Here rho is any fixed number satisfying 0 < rho < 1.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 14:21:42 GMT" }, { "version": "v2", "created": "Tue, 1 May 2007 13:19:58 GMT" }, { "version": "v3", "created": "Mon, 17 Sep 2007 15:24:19 GMT" } ]
2007-09-17T00:00:00
[ [ "Ash", "J. M.", "" ], [ "Ash", "M. A.", "" ], [ "Ash", "P. F.", "" ] ]
0704.2717
F. Assaoui
F. Assaoui and T. Lhallabi
Two Dimensional Quantum (4,4) Null Superstring in de Sitter Space
16 pages
Afr.J.Math.Phys.1:109-124,2004
null
null
hep-th
null
The (4,4) null superstring equations of motions and constraints on de Sitter space are given by using the harmonic superspace. These are solved explicitly by performing a perturbative expansion of the (4,4) superstring coordinates in powers of c2, the world-sheet speed of light. The analytic expressions of the zeroth and first order solutions are determined. On the other hand, we study the quantization of the (4,4)null superstring in de Sitter space and we describe its superalgebra.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 14:24:06 GMT" } ]
2008-11-26T00:00:00
[ [ "Assaoui", "F.", "" ], [ "Lhallabi", "T.", "" ] ]
0704.2718
Adrian Sabin Popescu
Adrian Sabin Popescu
Cosmic Ray Origin and Propagation Model
18 pages, 6 figures
null
null
null
astro-ph
null
It is presumed that the observed cosmic rays up to about $3\times 10^{18}$ eV are of Galactic origin, the particles being the ones which are found in the composition of the stellar winds of stars that explode as supernova into the interstellar medium (ISM) or into their winds. These particles are accelerated in the supernova shock. In order to obtain the observed cosmic ray spectrum it is necessary to take into account the diffusive losses in the Galaxy (which are making the energy spectrum more steeper). Another modification of the source spectrum is due to the fragmentation (spallation) of the cosmic ray particles, after their collision with the ISM atoms. In this paper we are proving that some particles are injected in the supernova shock one or two time ionized, and, also, that the contribution of massive stars ($30 M_{\odot}\leq M\leq 50 M_{\odot}$) accelerated particles to cosmic rays (where the winds are highly enriched in heavy elements) is 1:2 for elements with $Z\geq 6$. Another goal of this paper is to check if the particles are injected with the same velocity, energy or momentum.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 14:24:33 GMT" } ]
2007-05-23T00:00:00
[ [ "Popescu", "Adrian Sabin", "" ] ]
0704.2719
Santiago Torres
S. Torres, E. Garcia-Berro, J. Isern
The white dwarf luminosity function --II. The effect of the measurement errors and other biases
11 pages, 9 figures. Accepted for publication in MNRAS
Mon.Not.Roy.Astron.Soc.378:1461-1470,2007
10.1111/j.1365-2966.2007.11887.x
null
astro-ph
null
Only the 1/V_max method has been employed so far for observationally determining the white dwarf luminosity function, whereas for other kind of luminosity functions several other methods have been frequently used. Moreover, the procedures to determine the white dwarf luminosity function are not free of biases. These biases have two different origins: they can either be of statistical nature or a consequence of the measurement errors. In a previous paper we carried out an in-depth study of the first category of biases for several luminosity function estimators. In this paper we focus on the biases introduced by the measurement errors and on the effects of the degree of contamination of the input sample used to build the disc white dwarf luminosity function by different kinematical populations. To assess the extent of these biases we use a Monte Carlo simulator to generate a controlled synthetic population and analyse the behaviour of the disc white dwarf luminosity function for several assumptions about the magnitude of the measurement errors and for several degrees of contamination, comparing the performances of the most robust luminosity function estimators under such conditions.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 14:31:01 GMT" } ]
2009-06-23T00:00:00
[ [ "Torres", "S.", "" ], [ "Garcia-Berro", "E.", "" ], [ "Isern", "J.", "" ] ]
0704.2720
Clifford M. Will
Jing Zeng and Clifford M. Will (Washington University, St. Louis)
Application of energy and angular momentum balance to gravitational radiation reaction for binary systems with spin-orbit coupling
12 pages, submitted to General Relativity and Gravitation
Gen.Rel.Grav.39:1661-1673,2007
10.1007/s10714-007-0475-6
null
gr-qc
null
We study gravitational radiation reaction in the equations of motion for binary systems with spin-orbit coupling, at order (v/c)^7 beyond Newtonian gravity, or O(v/c)^2 beyond the leading radiation reaction effects for non-spinning bodies. We use expressions for the energy and angular momentum flux at infinity that include spin-orbit corrections, together with an assumption of energy and angular momentum balance, to derive equations of motion that are valid for general orbits and for a class of coordinate gauges. We show that the equations of motion are compatible with those derived earlier by a direct calculation.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 14:45:05 GMT" } ]
2008-11-26T00:00:00
[ [ "Zeng", "Jing", "", "Washington University, St. Louis" ], [ "Will", "Clifford M.", "", "Washington University, St. Louis" ] ]
0704.2721
Yuri Rubo
Yuri Rubo
Half-vortices in polariton condensates
4 pages, 3 figures
Phys. Rev. Lett. 99, 106401 (2007)
10.1103/PhysRevLett.99.106401
null
cond-mat.other
null
It is shown that vortices in linearly polarized polariton condensates in planar semiconductor microcavities carry two winding numbers (k,m). These numbers can be either integer or half-integer simultaneously. Four half-integer vortices (1/2,1/2), (-1/2,-1/2), (1/2,-1/2), and (-1/2,1/2) are anisotropic, possess the smallest energy, and define the Kosterlitz-Thouless transition temperature. The condensate concentration remains finite within the core of half-vortex and the polarization becomes fully circular in the core center.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 14:45:33 GMT" }, { "version": "v2", "created": "Fri, 4 May 2007 15:41:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Rubo", "Yuri", "" ] ]
0704.2722
Hongbing Cai
H.-B. Cai, Z.-Q. Shen, H. Sudou, L.-L. Shang, S. Iguchi, Y. Murata, Y. Taniguchi, K. Wakamatsu, H. Takaba
Multi-epoch VLBA observations of 3C 66A
10 pages, 5 figures, received 30 January 2007, accepted 22 March 2007
null
10.1051/0004-6361:20077155
null
astro-ph
null
We present the results of six-epoch Very Long Baseline Array (VLBA) observations of 3C~66A. The high-resolution Very Long Baseline Interferometer (VLBI) maps obtained at multi-frequency (2.3, 8.4, and 22.2 GHz) simultaneously enabled us to identify the brightest compact component with the core. We find that the spectrum of the core can be reasonably fitted by the synchrotron self-absorption model. Our VLBA maps show that the jet of 3C~66A has two bendings at about 1.2 and 4 mas from the core. We also give possible identifications of our jet components with the components in previous VLBA observations by analysing their proper motions. We find consistent differences of the position from the core in one component between different frequencies at six epochs.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 14:49:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Cai", "H. -B.", "" ], [ "Shen", "Z. -Q.", "" ], [ "Sudou", "H.", "" ], [ "Shang", "L. -L.", "" ], [ "Iguchi", "S.", "" ], [ "Murata", "Y.", "" ], [ "Taniguchi", "Y.", "" ], [ "Wakamatsu", "K.", "" ], [ "Takaba", "H.", "" ] ]
0704.2723
David Towers
Kevin Bowman, David A. Towers and Vicente R. Varea
Two Generator Subalgebras of Lie Algebras
12 pages
null
null
null
math.RA
null
J. G. Thompson showed that a finite group G is solvable if and only if every two -generated subgroup is solvable. Recently, Grunevald, Kunyavskii, Nikolova, and Plotkin have shown that the analogue holds for finite-dimensional Lie algebras over infinite fields of characteristic greater than 5. It is a natural question to ask to what extent the two-generated subalgebras determine the structure of the algebra. It is to this question that this paper is addressed. Here, we consider the classes of strongly-solvable and of supersolvable Lie algebras, and the property of triangulability.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 14:52:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Bowman", "Kevin", "" ], [ "Towers", "David A.", "" ], [ "Varea", "Vicente R.", "" ] ]
0704.2724
Cristina Volpe
R. Lazauskas, C. Volpe
Neutrino beams as a probe of the nuclear isospin and spin-isospin excitations
13 pages, 4 figures, 3 tables
Nucl.Phys.A792:219-228,2007
10.1016/j.nuclphysa.2007.06.005
null
nucl-th hep-ex hep-ph nucl-ex
null
We explore the possibility of performing nuclear structure studies using low energy neutrino beams. In particular, low energy beta-beams and conventional sources (muon decay-at-rest) are considered. We present results on the total charged-current as well as flux-averaged cross sections associated to electron (anti)-neutrino scattering on oxygen, iron, molybdenum and lead, as typical examples. It is shown that by using neutrinos from low energy beta-beams, information on forbidden states, in particular the spin-dipole, could be extracted.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:06:25 GMT" }, { "version": "v2", "created": "Tue, 21 Aug 2007 16:53:37 GMT" } ]
2008-11-26T00:00:00
[ [ "Lazauskas", "R.", "" ], [ "Volpe", "C.", "" ] ]
0704.2725
Manuel Cebri\'an
Manuel Cebrian and Ivan Cantador
Exploiting Heavy Tails in Training Times of Multilayer Perceptrons: A Case Study with the UCI Thyroid Disease Database
8 pages, 4 figures, submitted for consideration to the "Statistics and Its Interface" journal
null
null
null
cs.NE
null
The random initialization of weights of a multilayer perceptron makes it possible to model its training process as a Las Vegas algorithm, i.e. a randomized algorithm which stops when some required training error is obtained, and whose execution time is a random variable. This modeling is used to perform a case study on a well-known pattern recognition benchmark: the UCI Thyroid Disease Database. Empirical evidence is presented of the training time probability distribution exhibiting a heavy tail behavior, meaning a big probability mass of long executions. This fact is exploited to reduce the training time cost by applying two simple restart strategies. The first assumes full knowledge of the distribution yielding a 40% cut down in expected time with respect to the training without restarts. The second, assumes null knowledge, yielding a reduction ranging from 9% to 23%.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:58:04 GMT" }, { "version": "v2", "created": "Fri, 7 Dec 2007 03:06:49 GMT" } ]
2011-11-09T00:00:00
[ [ "Cebrian", "Manuel", "" ], [ "Cantador", "Ivan", "" ] ]
0704.2726
Bodineau Thierry
T. Bodineau, B.Derrida
Cumulants and large deviations of the current through non-equilibrium steady states
null
null
10.1016/j.crhy.2007.04.014
null
cond-mat.stat-mech
null
Using a generalisation of the detailed balance for systems maintained out of equilibrium by contact with 2 reservoirs at unequal temperatures or at unequal densities, we recover the fluctuation theorem for the large deviation funtion of the current. For large diffusive systems, we show how the large deviation funtion of the current can be computed using a simple additivity principle. The validity of this additivity principle and the occurence of phase transitions are discussed in the framework of the macroscopic fluctuation theory.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:27:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Bodineau", "T.", "" ], [ "Derrida", "B.", "" ] ]
0704.2727
Fiammetta Battaglia
Fiammetta Battaglia
Complex quotients by nonclosed groups and their stratifications
Research announcement. Updated version, shortened, exposition improved, 8 pp
C. R. Math. Rep. Acad. Sci. Canada Vol. 29 (2) 2007, pp 33-40
null
null
math.AG
null
We define the notion of complex stratification by quasifolds and show that such spaces occur as complex quotients by certain nonclosed subgroups of tori associated to convex polytopes. The spaces thus obtained provide a natural generalization to the nonrational case of the notion of toric variety associated with a rational convex polytope.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:31:50 GMT" }, { "version": "v2", "created": "Sat, 1 Mar 2008 22:45:52 GMT" } ]
2008-03-02T00:00:00
[ [ "Battaglia", "Fiammetta", "" ] ]
0704.2728
Alessandra Retico
I. Gori, M.E. Fantacci, A. Preite Martinez, A. Retico
An automated system for lung nodule detection in low-dose computed tomography
9 pages, 9 figures; Proceedings of the SPIE Medical Imaging Conference, 17-22 February 2007, San Diego, California, USA, Vol. 6514, 65143R
null
10.1117/12.709642
null
physics.med-ph
null
A computer-aided detection (CAD) system for the identification of pulmonary nodules in low-dose multi-detector helical Computed Tomography (CT) images was developed in the framework of the MAGIC-5 Italian project. One of the main goals of this project is to build a distributed database of lung CT scans in order to enable automated image analysis through a data and cpu GRID infrastructure. The basic modules of our lung-CAD system, a dot-enhancement filter for nodule candidate selection and a neural classifier for false-positive finding reduction, are described. The system was designed and tested for both internal and sub-pleural nodules. The results obtained on the collected database of low-dose thin-slice CT scans are shown in terms of free response receiver operating characteristic (FROC) curves and discussed.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:33:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Gori", "I.", "" ], [ "Fantacci", "M. E.", "" ], [ "Martinez", "A. Preite", "" ], [ "Retico", "A.", "" ] ]
0704.2729
Daniel Sunhede
Kimmo Kainulainen, Johanna Piilonen, Vappu Reijonen, and Daniel Sunhede
Spherically symmetric spacetimes in f(R) gravity theories
Published version, 12 pages, 7 figures
Phys.Rev.D76:024020,2007
10.1103/PhysRevD.76.024020
null
gr-qc astro-ph hep-th
null
We study both analytically and numerically the gravitational fields of stars in f(R) gravity theories. We derive the generalized Tolman-Oppenheimer-Volkov equations for these theories and show that in metric f(R) models the Parameterized Post-Newtonian parameter $\gamma_{\rm PPN} = 1/2$ is a robust outcome for a large class of boundary conditions set at the center of the star. This result is also unchanged by introduction of dark matter in the Solar System. We find also a class of solutions with $\gamma_{\rm PPN} \approx 1$ in the metric $f(R)=R-\mu^4/R$ model, but these solutions turn out to be unstable and decay in time. On the other hand, the Palatini version of the theory is found to satisfy the Solar System constraints. We also consider compact stars in the Palatini formalism, and show that these models are not inconsistent with polytropic equations of state. Finally, we comment on the equivalence between f(R) gravity and scalar-tensor theories and show that many interesting Palatini f(R) gravity models can not be understood as a limiting case of a Jordan-Brans-Dicke theory with $\omega \to -3/2$.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:34:02 GMT" }, { "version": "v2", "created": "Fri, 7 Mar 2008 14:31:16 GMT" } ]
2008-11-26T00:00:00
[ [ "Kainulainen", "Kimmo", "" ], [ "Piilonen", "Johanna", "" ], [ "Reijonen", "Vappu", "" ], [ "Sunhede", "Daniel", "" ] ]
0704.2730
James Colliander
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao
Resonant decompositions and the I-method for cubic nonlinear Schrodinger on R^2
null
null
null
null
math.AP math-ph math.MP
null
The initial value problem for the cubic defocusing nonlinear Schr\"odinger equation $i \partial_t u + \Delta u = |u|^2 u$ on the plane is shown to be globally well-posed for initial data in $H^s (\R^2)$ provided $s>1/2$. The proof relies upon an almost conserved quantity constructed using multilinear correction terms. The main new difficulty is to control the contribution of resonant interactions to these correction terms. The resonant interactions are significant due to the multidimensional setting of the problem and some orthogonality issues which arise.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:36:26 GMT" } ]
2007-05-23T00:00:00
[ [ "Colliander", "J.", "" ], [ "Keel", "M.", "" ], [ "Staffilani", "G.", "" ], [ "Takaoka", "H.", "" ], [ "Tao", "T.", "" ] ]
0704.2731
Hideki Maeda
Hideki Maeda
Global structure and physical interpretation of the Fonarev solution for a scalar field with exponential potential
4 pages, 1 figure, revised version with title changed. The solution was obtained by Fonarev in 1995
null
null
CECS-PHY-07/06
gr-qc hep-th
null
We discuss the physical interpretation of a dynamical and inhomogeneous spherically symmetric solution obtained by Fonarev for a scalar field with an exponential potential. There is a single parameter $w$ in the solution which can be set to $\pm1$ if it is non-zero, in addition to the steepness parameter $\lambda$ in the potential. The spacetime is conformally static and asymptotically flat Friedmann-Robertson-Walker spacetime. The solution reduces to the Friedmann-Robertson-Walker solution for $w=0$. There are two curvature singularities, of which one is a timelike central singularity and the other is a big-bang or big-crunch type singularity. Depending on the parameters, the spacetime can possess a future outer trapping horizon in the collapsing case. Then the solution represents a dynamical black hole in the sense of Hayward although there is a locally naked singularity at the center and no black-hole event horizon. This demonstrates a weak point of the local definition of a black hole in terms of a trapping horizon.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:46:28 GMT" }, { "version": "v2", "created": "Tue, 24 Apr 2007 15:38:46 GMT" } ]
2007-05-23T00:00:00
[ [ "Maeda", "Hideki", "" ] ]
0704.2732
David Wales
Arjeh M Cohen, Bart Frenk, David Wales
Brauer Algebras of Simply Laced Type
19 pages
null
null
null
math.RT math.GR
null
The diagram algebra introduced by Brauer that describes the centralizer algebra on tensor products of the natural representation of an orthogonal group has a presentation by generators and relations that only depends on the graph of type An on n nodes. Here we describe an algebra depending on an arbitrary graph of type M. We study its structure when the type is An, Dn, E6, E7, E8. We determine the representations and find the dimensions. The algebra is generically semisimple and contains the group algebra of the Coxeter type M as a subalgebra. It is a ring homomorphism of the Birman-Murakami-Wenzl algebra of these types. This fact will be used in later work determining the structure of Birman-Murakami-Wenzl algebras of simply laced spherical type.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 16:24:06 GMT" }, { "version": "v2", "created": "Fri, 20 Apr 2007 21:01:40 GMT" }, { "version": "v3", "created": "Thu, 26 Apr 2007 15:14:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Cohen", "Arjeh M", "" ], [ "Frenk", "Bart", "" ], [ "Wales", "David", "" ] ]
0704.2733
Scott Zrebiec
Scott Zrebiec
The order of the decay of the hole probability for Gaussian random SU(m+1) polynomials
This paper generalizes one which was previously posted by the author
null
null
null
math.CV math.PR
null
We show that for Gaussian random SU(m+1) polynomials of a large degree N the probability that there are no zeros in the disk of radius r is less than $e^{-c_{1,r} N^{m+1}}$, and is also greater than $e^{-c_{2,r} N^{m+1}}$. Enroute to this result, we also derive a more general result: probability estimates for the event where the volume of the zero set of a random polynomial of high degree deviates significantly from its mean.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:40:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Zrebiec", "Scott", "" ] ]
0704.2734
Lars Winther Christensen
Lars Winther Christensen and Sean Sather-Wagstaff
A Cohen-Macaulay algebra has only finitely many semidualizing modules
Final version; 3 pp. To appear in Math. Proc. Cambridge Philos. Soc
null
null
null
math.AC
null
We prove the result stated in the title, which answers the equicharacteristic case of a question of Vasconcelos.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:46:43 GMT" }, { "version": "v2", "created": "Fri, 16 Nov 2007 17:19:48 GMT" } ]
2011-11-09T00:00:00
[ [ "Christensen", "Lars Winther", "" ], [ "Sather-Wagstaff", "Sean", "" ] ]
0704.2735
F. Assaoui
F.Assaoui and P. Pereyra
Charge Polarization Effects and Hole Spectra Characteristics in Alxgai-xN/Gan Superlattices
21 pages, 12 figures
Journal of Applied Physics(J. Appl. Phys). Vol.91, No.9,(2002)
null
IC/2001/135
cond-mat.other
null
We study the effects of charge polarization on the extended physical properties of superlattices, such as transmission coefficients and valence band structure. We consider both linear and parabolic modulation of the band edge. Based on the theory of finite periodic systems (TFPS), analytic expressions and high precision calculations of the relevant physical quantities for n-cell systems are obtained. New and also well-known features of these systems are identified. Besides the well-known energy bandstructure, we also have the field bandstructure, with interesting characteristics.Wider field gaps at stronger internal electric fields and higher density of field bands for larger layer widths are some of these characteristics. Well denned level density asymmetries identify the minibands induced by charge polarization or the so-called Quantum Confining Stark Effect. We present the n-cell transmission amplitudes, transmission coefficients and miniband structures for different values of the relevant parameters.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:48:19 GMT" } ]
2007-05-23T00:00:00
[ [ "Assaoui", "F.", "" ], [ "Pereyra", "P.", "" ] ]
0704.2736
Jacques L. Rubin
T. Grandou, J.L. Rubin
Twin Paradox and Causality
17 pages, no figures, submitted to Am. J. Phys
ECONFC0706044:15,2007
null
INLN 2006#06
gr-qc
null
After pointing out the historical avatar at the origin of a would be twin or clock paradox, we argue that, at least on a local scale, the (re-qualified) paradox is but a necessary consequence of the sole principle of causality.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:50:12 GMT" } ]
2008-11-26T00:00:00
[ [ "Grandou", "T.", "" ], [ "Rubin", "J. L.", "" ] ]
0704.2737
Vito Sguera
V. Sguera, A. Bazzano, A. J. Bird, A. B. Hill, A. J. Dean, L. Bassani, A. Malizia, P. Ubertini
INTEGRAL high energy detection of the transient IGR J11321-5311
accepted for publication in A&A letter, 4 pages, 6 figures
null
10.1051/0004-6361:20077439
null
astro-ph
null
Context: The transient hard X-ray source IGR J11321-5311 was discovered by INTEGRAL on June 2005, during observations of the Crux spiral arm. To date, this is the only detection of the source to be reported by any X/gamma-ray mission. Aims: To characterize the behaviour and hence the nature of the source through temporal and spectral IBIS analysis. Methods: Detailed spectral and temporal analysis has been performed using standard INTEGRAL software OSA v.5.1. Results: To date, IGR J11321-5311 has been detected only once. It was active for about 3.5 hours, a short and bright flare lasting about 1.5 hours is evident in the IBIS light curve. It reached a peak flux of about 80 mCrab or 2.2x10E-9 erg cmE-2 sE-1 (20--300 keV),corresponding to a peak luminosity of 1.1x10E37 erg sE-1 (assuming a distance of 6.5 kpc). During the outburst, the source was detected with a significance of 18 sigma (20--300 keV) and 8 sigma (100--300 keV). The spectrum of the total outburst activity (17--300 keV) is best fitted by the sum of a power law (Gamma=0.55+/-0.18) plus a black body (kT=1.0{+0.2}_{-0.3} keV), with no evidence for a break up to 300 keV. A spectral analysis at Science Window level revealed an evident hardening of the spectrum through the outburst. The IBIS data were searched for pulsations with no positive result. Conclusions: The X-ray spectral shape and the flaring behaviour favour the hypothesis that IGR J11321-5311 is an Anomalous X-ray Pulsar, though a different nature can not be firmly rejected at the present stage.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:54:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Sguera", "V.", "" ], [ "Bazzano", "A.", "" ], [ "Bird", "A. J.", "" ], [ "Hill", "A. B.", "" ], [ "Dean", "A. J.", "" ], [ "Bassani", "L.", "" ], [ "Malizia", "A.", "" ], [ "Ubertini", "P.", "" ] ]
0704.2738
Eric Nuss
E. Nuss (on behalf of GLAST LAT Dark Matter and New Physics WG)
Dark Matter Searche with GLAST
Comment: 6 pages, 3 figures, 36th COSPAR proceeding accepted for publication in "Advances in Space Research"
Adv.Space Res.41:2029-2031,2008
10.1016/j.asr.2007.03.045
null
astro-ph
null
The Gamma-Ray Large Area Space Telescope (GLAST), scheduled to be launched in fall 2007, is the next generation satellite for high-energy gamma-ray astronomy. The Large Area Telescope (LAT), GLAST main instrument, with a wide field of view (> 2 sr), a large effective area (> 8000 cm^2 at 1 GeV) and 20 MeV - 300 GeV energy range, will provide excellent high energy gamma-ray observations for Dark Matter searches. In this paper we examine the potential of the LAT to detect gamma-rays coming from WIMPS annihilation in the context of supersymmetry. As an example, two search regions are investigated: the galactic center and the galactic satellites.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:55:00 GMT" } ]
2009-06-23T00:00:00
[ [ "Nuss", "E.", "", "on behalf of GLAST LAT Dark Matter and New Physics WG" ] ]
0704.2739
Chris Stock
C. Stock, R.A. Cowley, W.J.L. Buyers, R. Coldea, C. Broholm, C.D. Frost, R.J. Birgeneau, R. Liang, D. Bonn, W.N. Hardy
Evidence for decay of spin-waves above the pseudogap in underdoped YBa2Cu3O6.35
5 pages, 4 figures, to be published in Physical Review B
Phys. Rev. B 75, 172510 (2007)
10.1103/PhysRevB.75.172510
null
cond-mat.supr-con cond-mat.str-el
null
The magnetic spectrum at high-energies in heavily underdoped YBa$_{2}$Cu$_{3}$O$_{6.35}$ (T$_{c}$=18 K) has been determined throughout the Brillouin zone. At low-energy the scattering forms a cone of spin excitations emanating from the antiferromagnetic (0.5, 0.5) wave vector with an acoustic velocity similar to that of insulating cuprates. At high energy transfers, below the maximum energy of 270 meV at (0.5, 0), we observe zone boundary dispersion much larger and spectral weight loss more extensive than in insulating antiferromagnets. Moreover we report phenomena not found in insulators, an overall lowering of the zone-boundary energies and a large damping of $\sim$ 100 meV of the spin excitations at high-energies. The energy above which the damping occurs coincides approximately with the gap determined from transport measurements. We propose that as the energy is raised the spin excitations encounter an extra channel of decay into particle-hole pairs of a continuum that we associate with the pseudogap.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 16:15:24 GMT" } ]
2018-07-20T00:00:00
[ [ "Stock", "C.", "" ], [ "Cowley", "R. A.", "" ], [ "Buyers", "W. J. L.", "" ], [ "Coldea", "R.", "" ], [ "Broholm", "C.", "" ], [ "Frost", "C. D.", "" ], [ "Birgeneau", "R. J.", "" ], [ "Liang", "R.", "" ], [ "Bonn", "D.", "" ], [ "Hardy", "W. N.", "" ] ]
0704.2740
Jerome Petri
J. Petri
Relativistic stabilisation of the diocotron instability in a pulsar "cylindrical" electrosphere
Accepted by A&A
null
10.1051/0004-6361:20066985
null
astro-ph
null
In a previous work, we showed that the differentially rotating equatorial disk in the pulsar's electrosphere is diocotron unstable in the non-relativistic regime. In this paper, we extend these results and study the relativistic and electromagnetic stabilisation effects by including the magnetic field perturbation and allow for relativistic speeds of the guiding centre, in a self-consistent manner. We use the electric drift approximation, valid for low-density plasmas. We linearise the coupled relativistic cold-fluid and Maxwell equations in the electric drift approximation. The non-linear eigenvalue problem for the perturbed azimuthal electric field is solved numerically with standard technics for boundary value problems like the shooting method. The spectrum of the relativistic diocotron instability in a non-neutral plasma column confined between two cylindrically conducting walls is computed. For low-speed motions, we recover the eigenfunctions and eigenspectra of the non-relativistic diocotron instability. Our algorithm is also checked in the relativistic planar diode geometry for which an analytical expression of the dispersion relation is known. As expected, when the relativistic and electromagnetic effects become significant, the diocotron instability tends to stabilise. In cylindrical geometry, for some special rotation profile, all azimuthal modes $l$ are completely suppressed for sufficiently relativistic flows. However, for the profile relevant to the electrosphere, depending on the exact rotation curves, the growth rates can either significantly decrease till they vanish or persist for moderate $l$.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 16:12:16 GMT" } ]
2009-11-13T00:00:00
[ [ "Petri", "J.", "" ] ]
0704.2741
Koji Murakawa
K. Murakawa, J. Nakashima, K. Ohnaka, and S. Deguchi
Near-infrared polarimetric study of the bipolar nebula IRAS 19312+1950
8 pages with 4 figures
null
10.1051/0004-6361:20066574
null
astro-ph
null
We obtained H-band polarimetric data of IRAS 19312+1950 using the near-infrared camera (CIAO) on the 8 m Subaru telescope. In order to investigate the physical properties of the central star and the nebula, we performed dust radiative transfer modeling and compared the model results with the observed spectral energy distributions (SEDs), the radial profiles of the total intensity image, and the fraction of linear polarization map. The total intensity image shows a nearly spherical core with ~3" radius, an S-shaped arm extending ~10" in the northwest to southeast direction, and an extended lobe towards the southwest. The polarization map shows a centro-symmetric vector alignment in almost the entire nebula and low polarizations along the S-shaped arm. These results suggest that the nebula is accompanied by a central star, and the S-shaped arm has a physically ring-like structure. From our radiative transfer modeling, we estimated the stellar temperature, the bolometric luminosity, and the current mass-loss rate to be 2800 K, 7000 L_sun, and 5.3x10^{-6} M_sun yr^{-1}, respectively. Taking into account previous observational results, such as the detection of SiO maser emissions and silicate absorption feature in the 10 $\mu$m spectrum, our dust radiative transfer analysis based on our NIR imaging polarimetry suggests that (1) the central star of IRAS 19312+1950 is likely to be an oxygen-rich, dust-enshrouded AGB star and (2) most of the circumstellar material originates from other sources (e.g. ambient dark clouds) rather than as a result of mass loss from the central star.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 16:05:53 GMT" }, { "version": "v2", "created": "Tue, 24 Apr 2007 11:52:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Murakawa", "K.", "" ], [ "Nakashima", "J.", "" ], [ "Ohnaka", "K.", "" ], [ "Deguchi", "S.", "" ] ]
0704.2742
Yuri V. Kopaev
V.I. Belyavsky and Yu.V. Kopaev
Biordered superconductivity and strong pseudogap state
11 pages, 4 fugures
null
10.1103/PhysRevB.76.214506
null
cond-mat.supr-con
null
Interrelation between the two-particle and mean-field problems is used to describe the strong pseudogap and superconducting states in cuprates. We present strong pseudogap state as off-diagonal short-range order (ODSRO) originating from quasi-stationary states of the pair of repulsing particles with large total momentum (K - pair). Phase transition from the ODSRO state into the off-diagonal long-range ordered (ODLRO) superconducting state is associated with Bose-Einstein condensation of the K - pairs. A checkerboard spatial order observable in the superconducting state in the cuprates is explained by a rise of the K - pair density wave. A competition between the ODSRO and ODLRO states leads to the phase diagram typical of the cuprates. Biordered superconducting state of coexisting condensates of Cooper pairs with zero momentum and K - pairs explains some properties of the cuprates observed below Tc: Drude optical conductivity, unconventional isotope effect and two-gap quasiparticle spectrum with essentially different energy scales.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 16:06:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Belyavsky", "V. I.", "" ], [ "Kopaev", "Yu. V.", "" ] ]
0704.2743
David Wales
Arjeh M. Cohen, D. A. H. Gijsbers, David B. Wales
The Birman-Murakami-Algebras Algebras of Type Dn
32 pages. This is a greatly expanded version of the earlier arXiv version which was titled "The BMW Algebras of Type Dn"
null
null
null
math.RT math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Birman-Murakami-Wenzl algebra (BMW algebra) of type Dn is shown to be semisimple and free of rank (2^n+1)n!!-(2^(n-1)+1)n! over a specified commutative ring R, where n!! is the product of the first n odd integers. We also show it is a cellular algebra over suitable ring extensions of R. The Brauer algebra of type Dn is the image af an R-equivariant homomorphism and is also semisimple and free of the same rank, but over the polynomial ring Z with delta and its inverse adjoined. A rewrite system for the Brauer algebra is used in bounding the rank of the BMW algebra above. As a consequence of our results, the generalized Temperley-Lieb algebra of type Dn is a subalgebra of the BMW algebra of the same type.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 16:29:00 GMT" }, { "version": "v2", "created": "Sun, 27 Jan 2008 19:01:30 GMT" }, { "version": "v3", "created": "Mon, 2 May 2011 18:44:09 GMT" } ]
2011-05-03T00:00:00
[ [ "Cohen", "Arjeh M.", "" ], [ "Gijsbers", "D. A. H.", "" ], [ "Wales", "David B.", "" ] ]
0704.2744
Szil\'ard Szab\'o
Szilard Szabo
Nahm transform and parabolic minimal Laplace transform
Major revision of the exposition, new title, with essentially unmodified results
Journal of Geometry and Physics 62 (2012) 2241--2258
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove that Nahm transform for integrable connections with a finite number of regular singularities and an irregular singularity of rank 1 on the Riemann sphere is equivalent -- up to considering integrable connections as holonomic $\D$-modules -- to minimal Laplace transform. We assume semi-simplicity and resonance-freeness conditions, and we work in the framework of objects with a parabolic structure. In particular, we describe the definition of the parabolic version of Laplace transform due to C. Sabbah. The proof of the main result relies on the study of a twisted de Rham complex.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 15:00:53 GMT" }, { "version": "v2", "created": "Fri, 2 Sep 2011 15:32:04 GMT" } ]
2012-08-06T00:00:00
[ [ "Szabo", "Szilard", "" ] ]
0704.2745
Tomilchik Lev
L.M. Tomilchik
Pioneer Anomaly and Accelerating Universe as Effects of the Minkowski Space Conformal Symmetry
13 pages, 3 figures, typos in text and references have been corrected
null
null
null
gr-qc
null
On the basis of the nonisometric transformations subgroup of the SO(4.2) group, the nonlinear time inhomogeneity one-parameter conformal transformations are constructed. The connection between the group parameter and the Hubble constant H0 is established. It is shown that the existence of an anomalous blue-shifted frequency drift is a pure kinematic manifestation of the time inhomogeneity induced by the Universe expansion. This conclusion is confirmed via a generalization of the standard Special Relativity clock synchronization procedure to the space expanding case. The obtained formulae are in accordance with the observable Pioneer Anomaly effect. The anomalous blue-shifted drift is universal, does not depend on the presence of graviting centers and can be, in principle, observed on any frequencies under suitable experimental conditions. The explicit analytic expression for the speed of recession--intergalactic distance ratio is obtained in the form of a function of the red shift z valid in the whole range of its variation. In the small z limit this expression exactly reproduces the Hubble law. The maximum value of this function at z=0.475 quantitatively corresponds to the experimentally found value z(exp) = 0.46 +/- 0.13 of the transition from the decelerated to the accelerated expansion of the Universe.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 16:16:18 GMT" }, { "version": "v2", "created": "Thu, 10 May 2007 10:07:52 GMT" } ]
2007-05-23T00:00:00
[ [ "Tomilchik", "L. M.", "" ] ]
0704.2746
Matteo Masino
Matteo Masino, Alberto Girlando, Aldo Brillante
Intermediate regime in Tetrathiafulvalene-Chloranil (TTF-CA) pressure-induced neutral-ionic transition
7 pages, 5 figures
Phys. Rev. B 76, 064114 (2007)
10.1103/PhysRevB.76.064114
null
cond-mat.mtrl-sci cond-mat.str-el
null
We report a detailed spectroscopic study of the pressure induced neutral-ionic phase transition (NIT) of the mixed-stack charge-transfer (CT) crystal tetrathiafulvalene-chloranil (TTF-CA). We show that the pressure induced phase transition is still first-order and involves the presence of an intermediate disordered phase, defined by the coexistence of two species of different ionicity. Further application of pressure gradually converts this phase into an homogeneous ferroelectric phase with a single ionicity. In addition, we detect strong pretransitional phenomena which anticipate the intermediate phase and are indicative of a precursor dynamic regime dominated by fluctuations.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 16:53:40 GMT" } ]
2013-05-29T00:00:00
[ [ "Masino", "Matteo", "" ], [ "Girlando", "Alberto", "" ], [ "Brillante", "Aldo", "" ] ]
0704.2747
Christophe Pinte
C. Pinte, L. Fouchet, F. Menard, J.-F. Gonzalez, G. Duchene
On the stratified dust distribution of the GG Tau circumbinary ring
9 pages, 11 figures. Accepted for publication in A&A
Astron.Astrophys.469:963-971,2007
10.1051/0004-6361:20077137
null
astro-ph
null
Our objective is to study the vertical dust distribution in the circumbinary ring of the binary system GG Tau and to search for evidence of stratification, one of the first steps expected to occur during planet formation. We present a simultaneous analysis of four scattered light images spanning a range of wavelength from 800 nm to 3800 nm and compare them with (i) a parametric prescription for the vertical dust stratification, and (ii) with the results of SPH bi-fluid hydrodynamic calculations. The parametric prescription and hydrodynamical calculations of stratification both reproduce the observed brightness profiles well. These models also provide a correct match for the observed star/ring integrated flux ratio. Another solution with a well-mixed, but ``exotic'', dust size distribution also matches the brightness profile ratios but fails to match the star/ring flux ratio. These results give support to the presence of vertical stratification of the dust in the ring of GG Tau and further predict the presence of a radial stratification also.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:07:34 GMT" } ]
2014-11-18T00:00:00
[ [ "Pinte", "C.", "" ], [ "Fouchet", "L.", "" ], [ "Menard", "F.", "" ], [ "Gonzalez", "J. -F.", "" ], [ "Duchene", "G.", "" ] ]
0704.2748
Alexander K. Hartmann
A. K. Hartmann
Droplets in the two-dimensional +-J spin glass: evidence for (non-) universality
4 pages, 3 figures
null
null
null
cond-mat.dis-nn cond-mat.stat-mech
null
Using mappings to computer-science problems and by applying sophisticated algorithms, one can study numerically many problems much better compared to applying standard approaches like Monte Carlo simulations. Here, using calculations of ground states of suitable perturbed systems, droplets are obtained in two-dimensional +-J spin glasses, which are in the focus of a currently very lifely debate. Since a sophisticated matching algorithm is applied here, exact ground states of large systems up to L^2=256^2 spins can be generated. Furthermore, no equilibration or extrapolation to T=0 is necessary. Three different +-J models are studied here: a) with open boundary conditions, b) with fixed boundary conditions and c) a diluted system where a fraction p=0.125 of all bonds is zero. For large systems, the droplet energy shows for all three models a power-law behavior E_D L^\theta'_D with \theta'_D<0. This is different from previous studies of domain walls, where a convergence to a constant non-zero value (\theta_dw=0) has been found for such models. After correcting for the non-compactness of the droplets, the results are likely to be compatible with \theta_D= -0.29 for all three models. This is in accordance with the Gaussian system where \theta_D=-0.287(4) (\nu=3.5 via \nu=-1/\theta_D). Nevertheless, the disorder-averaged spin-spin correlation exponent \eta is determined here via the probability to have a non-zero-energy droplet, and \eta~0.22$ is found for all three models, this being in contrast to the behavior of the model with Gaussian interactions, where exactly \eta=0.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 16:41:39 GMT" } ]
2007-05-23T00:00:00
[ [ "Hartmann", "A. K.", "" ] ]
0704.2749
Wieslaw Dudek
Wieslaw A. Dudek
Remarks to Glazek's results on n-ary groups
22 pages
Discussiones Math., General Algebra and Applications vol. 27 (2007), 199-233
null
null
math.HO math.GM
null
It is a survey of the results obtained by K. Glazek's and his co-workers. We restrict our attention to the problems of axiomatizations of n-ary groups, classes of n-ary groups, properties of skew elements and homomorphisms induced by skew elements, constructions of covering groups, classifications and representations of n-ary groups. Some new results are added too.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 16:47:36 GMT" } ]
2007-10-21T00:00:00
[ [ "Dudek", "Wieslaw A.", "" ] ]
0704.2750
Nikolai Lebovka I
Nikolai Lebovka, Eugene Vorobiev
The kinetics of inactivation of spheroidal microbial cells by pulsed electric fields
12 pages, 10 figures
null
null
null
physics.bio-ph
null
The nature of non-exponential kinetics in microbial cells inactivation by pulsed electric fields (PEF) is discussed. It was demonstrated that possible mechanism of non-exponential kinetics can be related to orientational disorder in suspension of microbial cells of anisotropic form. A numerical studies of spheroidal cell suspensions was carried out. The most pronounced deviations from the exponential kinetics were observed for disordered suspensions of prolate spheroids at small electric field strength $E$ or at large aspect ratio $a$. For partially oriented suspensions, efficiency of inactivation enhances with increasing of order parameter and field strength. A possibility of the PEF-induced orientational ordering in microbial suspensions is discussed.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 16:49:47 GMT" } ]
2007-05-23T00:00:00
[ [ "Lebovka", "Nikolai", "" ], [ "Vorobiev", "Eugene", "" ] ]
0704.2751
Jorge Alfaro
Jorge Alfaro
Quantum Gravity and Maximum Attainable Velocities in the Standard Model
latex, 9 pages, Talk at the VI Silafae, Puerto Vallarta, Mexico, November 1-8,2006. Added references
AIPConf.Proc.917:161-169,2007
10.1063/1.2751953
null
hep-th
null
A main difficulty in the quantization of the gravitational field is the lack of experiments that discriminate among the theories proposed to quantize gravity. Recently we showed that the Standard Model(SM) itself contains tiny Lorentz invariance violation(LIV) terms coming from QG. All terms depend on one arbitrary parameter $\alpha$ that set the scale of QG effects. In this talk we review the LIV for mesons nucleons and leptons and apply it to study several effects, including the GZK anomaly.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:05:45 GMT" }, { "version": "v2", "created": "Wed, 9 May 2007 16:01:00 GMT" } ]
2008-11-26T00:00:00
[ [ "Alfaro", "Jorge", "" ] ]
0704.2752
Premi Chandra
L. Palova, P. Chandra and K.M. Rabe
Modelling Thickness-Dependence of Ferroelectric Thin Film Properties
13 pages, 17 figures
PRB 76, 014112 (2007)
10.1103/PhysRevB.76.014112
null
cond-mat.mtrl-sci
null
We present a segregrated strain model that describes the thickness-dependent dielectric properties of ferroelectric films. Using a phenomenological Landau approach, we present results for two specific materials, making comparison with experiment and with first-principles calculations whenever possible. We also suggest a "smoking gun" benchtop probe to test our elastic scenario.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:19:56 GMT" }, { "version": "v2", "created": "Sun, 7 Oct 2007 21:39:01 GMT" } ]
2007-10-08T00:00:00
[ [ "Palova", "L.", "" ], [ "Chandra", "P.", "" ], [ "Rabe", "K. M.", "" ] ]
0704.2753
Dmitry Makarov
A. D. Chernin, I. D. Karachentsev, D. I. Makarov, O. G. Kashibadze, P. Teerikorpi, M. J. Valtonen, V. P. Dolgachev, L. M. Domozhilova
Local dark energy: HST evidence from the expansion flow around Cen A/M83 galaxy group
null
null
10.1080/10556790701415393
null
astro-ph
null
A structure with a massive group in its center and a cool expansion outflow outside is studied around the Cen A galaxy with the use of the Hubble Space Telescope observations. It is demonstrated that the dynamics of the flow is dominated by the antigravity of the dark energy background. The density of dark energy in the cell is estimated to be near the global cosmological density. This agrees with our previous result from the neighborhood of the Local group. A notion of the ``Hubble cell'' is introduced as a building block of the local structure of the universe.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:06:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Chernin", "A. D.", "" ], [ "Karachentsev", "I. D.", "" ], [ "Makarov", "D. I.", "" ], [ "Kashibadze", "O. G.", "" ], [ "Teerikorpi", "P.", "" ], [ "Valtonen", "M. J.", "" ], [ "Dolgachev", "V. P.", "" ], [ "Domozhilova", "L. M.", "" ] ]
0704.2754
David Wales
Arjeh M. Cohen, D. A. H. Gijsbers, David B. Wales
Tangle and Brauer Diagram Algebras of Type Dn
33 pages
null
null
null
math.RT math.GR
null
A generalization of the Kauffman tangle algebra is given for Coxeter type Dn. The tangles involve a pole or order 2. The algebra is shown to be isomorphic to the Birman-Murakami-Wenzl algebra of the same type. This result extends the isomorphism between the two algebras in the classical case, which in our set-up, occurs when the Coxeter type is of type A with index n-1. The proof involves a diagrammatic version of the Brauer algebra of type Dn in which the Temperley-Lieb algebra of type Dn is a subalgebra.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:07:11 GMT" } ]
2007-05-23T00:00:00
[ [ "Cohen", "Arjeh M.", "" ], [ "Gijsbers", "D. A. H.", "" ], [ "Wales", "David B.", "" ] ]
0704.2755
Rafael L\'opez
Rafael L\'opez
Parabolic surfaces in hyperbolic space with constant curvature
8 pages, 6 figures. This is the text of the talk presented in the International Congress on Pure and Applied Differential Geometry, PADGE 2007, 10-13 April, 2007. This is a brief of two preprints due to the author and that appear in the References section
null
null
null
math.DG
null
We study parabolic linear Weingarten surfaces in hyperbolic space $\rlopezh^3$. In particular, we classify two family of parabolic surfaces: surfaces with constant Gaussian curvature and surfaces that satisfy the relation $a\kappa_1+b\kappa_2=c$, where $\kappa_i$ are the principal curvatures, and $a,b$ and $c$ are constant.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:19:03 GMT" } ]
2007-05-23T00:00:00
[ [ "López", "Rafael", "" ] ]
0704.2756
Mario Gliozzi
M. Gliozzi (1), R.M. Sambruna (2), M. Eracleous (3), T. Yaqoob (4) ((1) Gmu, (2) NASA GSFC, (3) Psu, (4) Jhu, NASA GSFC)
The nature of a broad line radio galaxy: Simultaneous RXTE and Chandra HETG observations of 3C 382
19 pages, 10 figures, 3 tables, accepted for publication in ApJ
Astrophys.J.664:88-100,2007
10.1086/518927
null
astro-ph
null
We present the results from simultaneous chandra and rxte observations of the X-ray bright Broad-Line Radio Galaxy (BLRG) 3C 382. The long (120 ks) exposure with chandra HETG allows a detailed study of the soft X-ray continuum and of the narrow component of the Fe Kalpha line. The rxte PCA data are used to put an upper limit on the broad line component and constrain the hard X-ray continuum. A strong soft excess below 1 keV is observed in the time-averaged HETG spectrum, which can be parameterized with a steep power law or a thermal model. The flux variability at low energies indicates that the origin of the soft excess cannot be entirely ascribed to the circumnuclear diffuse emission, detected by chandra on scales of 20-30 arcsec (22-33 kpc). A narrow (sigma<90 eV) Fe Kalpha line (with EW< 100 eV) is observed by the chandra HEG. Similar values for the line parameters are measured by the rxte PCA, suggesting that the contribution from a broad line component is negligible. The fact that the exposure is split into two observations taken three days apart allows us to investigate the spectral and temporal evolution of the source on different timescales. Significant flux variability associated with spectral changes is observed on timescales of hours and days. The spectral variability is similar to that observed in radio-quiet AGN ruling out a jet-dominated origin of the X-rays.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:14:58 GMT" } ]
2009-06-23T00:00:00
[ [ "Gliozzi", "M.", "", "Gmu" ], [ "Sambruna", "R. M.", "", "NASA GSFC" ], [ "Eracleous", "M.", "", "Psu" ], [ "Yaqoob", "T.", "", "Jhu, NASA GSFC" ] ]
0704.2757
Martin Bruderer
Martin Bruderer, Alexander Klein, Stephen R. Clark, and Dieter Jaksch
Polaron Physics in Optical Lattices
4 pages, 4 figures
Phys. Rev. A 76, 011605(R) (2007)
10.1103/PhysRevA.76.011605
null
quant-ph
null
We investigate the effects of a nearly uniform Bose-Einstein condensate (BEC) on the properties of immersed trapped impurity atoms. Using a weak-coupling expansion in the BEC-impurity interaction strength, we derive a model describing polarons, i.e., impurities dressed by a coherent state of Bogoliubov phonons, and apply it to ultracold bosonic atoms in an optical lattice. We show that, with increasing BEC temperature, the transport properties of the impurities change from coherent to diffusive. Furthermore, stable polaron clusters are formed via a phonon-mediated off-site attraction.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:16:45 GMT" }, { "version": "v2", "created": "Fri, 20 Jul 2007 14:29:47 GMT" } ]
2011-11-09T00:00:00
[ [ "Bruderer", "Martin", "" ], [ "Klein", "Alexander", "" ], [ "Clark", "Stephen R.", "" ], [ "Jaksch", "Dieter", "" ] ]
0704.2758
M. Swisdak
M. Swisdak and J. F. Drake
The Orientation of the Reconnection X-line
null
null
10.1029/2007GL029815
null
physics.space-ph astro-ph
null
We propose a criterion for identifying the orientation of the X-line when two regions of plasma with arbitrary densities, temperatures, and magnetic fields undergo reconnection. The X-line points in the direction that maximizes the (suitably-defined) Alfv\'en speed characterizing the reconnection outflow. For many situations a good approximation is that the X-line bisects the angle formed by the magnetic fields.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:17:30 GMT" } ]
2015-05-13T00:00:00
[ [ "Swisdak", "M.", "" ], [ "Drake", "J. F.", "" ] ]
0704.2759
Nagalakshmi Rao A
Nagalakshmi A. Rao and B. A. Kagali
Spectroscopic investigation of spin zero homonuclear and heteronuclear molecules
Latex, 11 Pages
null
null
null
quant-ph
null
In the present article, we introduce a model to investigate the energy spectrum of a relativistic rotor by considering the Klein-Gordon Hamiltonian. Rotational spectral lines are a signature of homonuclear and heteronuclear systems and play a key role in understanding diatomic molecules. We show that the energy-correction term arising due to unequal masses influences the line separation. Determining the rotational constant enables one to calculate the moment of inertia and bond length of the molecule.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:18:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Rao", "Nagalakshmi A.", "" ], [ "Kagali", "B. A.", "" ] ]
0704.2760
Krishnendu Sengupta
Subhro Bhattacharjee, Moitri Maiti, and K. Sengupta
Theory of tunneling conductance of graphene NIS junctions
Revised version
Phys Rev B 76 184514 (2007)
10.1103/PhysRevB.76.184514
null
cond-mat.mes-hall cond-mat.supr-con
null
We calculate the tunneling conductance of a graphene normal metal-insulator-superconductor (NIS) junction with a barrier of thickness $d$ and with an arbitrary voltage $V_0$ applied across the barrier region. We demonstrate that the tunneling conductance of such a NIS junction is an oscillatory function of both $d$ and $V_0$. We also show that the periodicity and amplitude of such oscillations deviate from their universal values in the thin barrier limit as obtained in earlier work [Phys. Rev. Lett. {\bf 97}, 217001 (2006)] and become a function of the applied voltage $V_0$. Our results reproduces the earlier results on tunneling conductance of such junctions in the thin [Phys. Rev. Lett. {\bf 97}, 217001 (2006)] and zero [Phys. Rev. Lett. {\bf 97}, 067007 (2006)] barrier limits as special limiting cases. We discuss experimental relevance of our results.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:27:12 GMT" }, { "version": "v2", "created": "Fri, 18 May 2007 04:58:00 GMT" }, { "version": "v3", "created": "Tue, 9 Oct 2007 13:05:17 GMT" } ]
2018-08-29T00:00:00
[ [ "Bhattacharjee", "Subhro", "" ], [ "Maiti", "Moitri", "" ], [ "Sengupta", "K.", "" ] ]
0704.2761
Oleg Matveev
O. A. Matveev, A. I. Terent'ev, N. K. Zelenina, V. N. Gus'kov, V. E. Sedov, A. A. Tomasov, and V. P. Karpenko
Self-Compensation of Conductionin Cd0.95Zn0.05Te:Cl Crystals in a Wide Range of Cd Vapor Pressures
5 pages, 2 figures
null
null
null
cond-mat.mtrl-sci
null
The process of self-compensation in Cd0.95Zn0.05Te:Cl solid-solution crystals has been studied by annealing single crystals under a controlled Cd vapor pressure, with subsequent measurements of the Hall effect, photoluminescence, carrier lifetime and mobility, and photocurrent memory in the annealed crystals. By means of this annealing, conditions of thermal treatment that make it possible to fabricate low-conductivity samples with a low carrier density, 10E7-10E11 cm-3, are denned. In these samples, a p -- n conduction inversion is observed at a higher free-carrier density ((n, p) near 10E9 cm-3) and the dependence of the electron density on the Cd vapor pressure exhibits a more gentle slope than in the case of CdTe:Cl crystals. The obtained data are dis-cussed in terms of a self-compensation model in which intrinsic point defects act as acceptors with deep levels. This level is attributed to a Zn vacancy, which remains active at high Cd pressure.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:34:57 GMT" } ]
2007-05-23T00:00:00
[ [ "Matveev", "O. A.", "" ], [ "Terent'ev", "A. I.", "" ], [ "Zelenina", "N. K.", "" ], [ "Gus'kov", "V. N.", "" ], [ "Sedov", "V. E.", "" ], [ "Tomasov", "A. A.", "" ], [ "Karpenko", "V. P.", "" ] ]
0704.2762
Robert Stencel
D. E. Mais (1), D. Richards (2) and R. E. Stencel (3) ((1) Palomar Community College, (2) Aberdeen and District Astronomical Society, (3) University of Denver - Astronomy)
Three Years of Mira Variable CCD Photometry: What Has Been Learned?
8 pages. Appeared in the Proceedings of the May 2006 Society for Astronomical Sciences annual conference
null
null
null
astro-ph
null
The subject of micro-variability among Mira stars has received increased attention since DeLaverny et al. (1998) reported short-term brightness variations in 15 percent of the 250 Mira or Long Period Variable stars surveyed using the broadband 340 to 890 nm Hp filter on the HIPPARCOS satellite. The abrupt variations reported ranged 0.2 to 1.1 magnitudes, on time-scales between 2 to 100 hours, with a preponderance found nearer Mira minimum light phases. However, the HIPPARCOS sampling frequency was extremely sparse and required confirmation because of potentially important atmospheric dynamics and dust-formation physics that could be revealed. We report on Mira light curve sub-structure based on new CCD V and R band data, augmenting the known light curves of Hipparcos-selected long period variables [LPVs], and interpret same in terms of [1] interior structure, [2] atmospheric structure change, and/or [3] formation of circumstellar [CS] structure. We propose that the alleged micro-variability among Miras is largely undersampled, transient overtone pulsation structure in the light curves.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:40:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Mais", "D. E.", "" ], [ "Richards", "D.", "" ], [ "Stencel", "R. E.", "" ] ]
0704.2763
Ian Hambleton
Ian Hambleton and Jean-Claude Hausmann
Equivariant Bundles and Isotropy Representations
Final version: to appear in "Groups, Geometry and Dynamics"
Groups Geom. Dyn. 4 (2010), no. 1, 127--162
null
null
math.GT math.AT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce a new construction, the isotropy groupoid, to organize the orbit data for split $\Gamma$-spaces. We show that equivariant principal $G$-bundles over split $\Gamma$-CW complexes $X$ can be effectively classified by means of representations of their isotropy groupoids. For instance, if the quotient complex $A=\Gamma\backslash X$ is a graph, with all edge stabilizers toral subgroups of $\Gamma$, we obtain a purely combinatorial classification of bundles with structural group $G$ a compact connected Lie group. If $G$ is abelian, our approach gives combinatorial and geometric descriptions of some results of Lashof-May-Segal and Goresky-Kottwitz-MacPherson.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:41:49 GMT" }, { "version": "v2", "created": "Sun, 21 Jun 2009 11:30:41 GMT" } ]
2013-02-12T00:00:00
[ [ "Hambleton", "Ian", "" ], [ "Hausmann", "Jean-Claude", "" ] ]
0704.2764
Apolodor Aristotel Raduta
A. A. Raduta and F. D. Aaron
A simple description of the states $0^+$ and $2^+$ in $^{168}Er$
9 pages, 5 figures
J.Phys.G34:2053-2062,2007
10.1088/0954-3899/34/9/014
null
nucl-th
null
A sixth-order quadrupole boson Hamiltonian is used to describe 26 states $0^+$ and 67 states $2^+$ which have been recently identified in $^{168}Er$. Two closed expressions are alternatively used for energy levels. One corresponds to a semi-classical approach while the other one represents the exact eigenvalue of the model Hamiltonian. The semi-classical expression involves four parameters, while the exact eigenvalue is determined by five parameters. In each of the two descriptions a least square fit procedure is adopted. Both expressions provide a surprisingly good agreement with the experimental data.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 17:49:51 GMT" } ]
2008-11-26T00:00:00
[ [ "Raduta", "A. A.", "" ], [ "Aaron", "F. D.", "" ] ]
0704.2765
Bertrand Georgeot
O. Giraud, J. Martin and B. Georgeot
Entanglement of localized states
6 pages, 4 figures
Phys. Rev. A 76, 042333 (2007)
10.1103/PhysRevA.76.042333
null
quant-ph cond-mat.mes-hall nlin.CD
null
We derive exact expressions for the mean value of Meyer-Wallach entanglement Q for localized random vectors drawn from various ensembles corresponding to different physical situations. For vectors localized on a randomly chosen subset of the basis, <Q> tends for large system sizes to a constant which depends on the participation ratio, whereas for vectors localized on adjacent basis states it goes to zero as a constant over the number of qubits. Applications to many-body systems and Anderson localization are discussed.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 18:01:04 GMT" }, { "version": "v2", "created": "Fri, 26 Oct 2007 14:10:08 GMT" } ]
2011-11-09T00:00:00
[ [ "Giraud", "O.", "" ], [ "Martin", "J.", "" ], [ "Georgeot", "B.", "" ] ]
0704.2766
Pamela Morehouse
R.A. Briere, et al. (CLEO Collaboration)
Comparison of Particle Production in Quark and Gluon Fragmentation at sqrt s ~ 10 GeV
21 pages postscript,also available through http://www.lns.cornell.edu/public/CLNS/2006/, Submitted to PRD
Phys.Rev.D76:012005,2007
10.1103/PhysRevD.76.012005
CLNS 06/1984, CLEO 06-24
hep-ex
null
Using data collected with the CLEO III detector at the Cornell Electron Storage Ring, we study the inclusive production of baryons/antibaryons (p, /) and mesons (phi and f_2(1270)) in gluon-fragmentation and quark-fragmentation processes. We first corroborate previous per-event total particle yields in Upsilon(1S)->ggg compared with nearby continuum (e+e- -> qqbar) indicating greater (x2) per-event yields of baryons in 3-gluon fragmentation. We find similar results when we extend that comparison to include the Upsilon(2S) and Upsilon(3S) resonances. With higher statistics, we now also probe the momentum dependence of these per-event particle yields. Next, we compare particle production in the photon-tagged process Upsilon(1S)->gggamma with that in e+e- -> qqbar events, to allow comparison of two-parton with three-parton particle-specific fragmentation. For each particle, we determine the `enhancement' ratio, defined as the ratio of particle yields per gluon fragmentation event compared to quark fragmentation event. Thus defined, an enhancement of 1.0 implies equal per-event production in both gluon and quark fragmentation. In the photon-tagged analysis (U(1S)->gggamma compared to e+e- -> qqbar+gamma), we find almost no enhancement for protons (1.2+/-0.1), but a significant enhancement (1.9+/-0.3) for /\'s. Overall, per-event baryon production in radiative two-gluon fragmentation is somewhat smaller than that observed in three-gluon decays of the Upsilon(1S). Our results for baryon production are inconsistent with the predictions of the JETSET (7.3) fragmentation model.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 18:16:41 GMT" } ]
2019-08-12T00:00:00
[ [ "Briere", "R. A.", "" ] ]
0704.2767
Qizhou Zhang Dr.
Qizhou Zhang, T. K. Sridharan, Todd R. Hunter, Yuan Chen, Henrik Beuther and Friedrich Wyrowski
A Jet-like Outflow toward the High-Mass (Proto)stellar Object IRAS 18566+0408
19 pages, 9 figures. Accepted for publication in Astronomy and Astrophysics
null
10.1051/0004-6361:20077094
null
astro-ph
null
We performed interferometric observations of a high-mass protostellar candidate IRAS 18566+0408 in the \nh3 (J,K)=(1,1), (2,2) and (3,3) inversion transitions, the SiO J=2-1 and HCN J=1-0 lines, and the 43 and 87 GHz continuum emission using the VLA and OVRO. The 87 GHz continuum emission reveals two continuum peaks MM-1 and MM-2 along a molecular ridge. The dominant peak MM-1 coincides with a compact emission feature at 43 GHz, and arises mostly from the dust emission. For dust emissivity index $\beta$ of 1.3, the masses in the dust peaks amount to 70 \msun for MM-1, and 27 \msun for MM-2. Assuming internal heating, the central luminosities of MM-1 and MM-2 are $6 \times 10^4$ and $8 \times 10^3$ \lsun, respectively. The SiO emission reveals a well collimated outflow emanating from MM-1. The jet-like outflow is also detected in \nh3 at velocities similar to the SiO emission. The outflow, with a mass of 27 \msun, causes significant heating in the gas to temperatures of 70 K, much higher than the temperature of $\lsim 15$ K in the extended core. Compact ($< 3''$) and narrow line ($<1.5$ \kms-1) \nh3 (3,3) emission features are found associated with the outflow. They likely arise from weak population inversion in \nh3 similar to the maser emission. Toward MM-1, there is a compact \nh3 structure with a linewidth that increases from 5.5 \kms-1 FHWM measured at 3$''$ resolution to 8.7 \kms-1\ measured at 1$''$ resolution. This linewidth is much larger than the FWHM of $<$ 2 \kms-1 in the entire core, and does not appear to originate from the outflow. This large linewidth may arise from rotation/infall, or relative motions of unresolved protostellar cores.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 18:20:00 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhang", "Qizhou", "" ], [ "Sridharan", "T. K.", "" ], [ "Hunter", "Todd R.", "" ], [ "Chen", "Yuan", "" ], [ "Beuther", "Henrik", "" ], [ "Wyrowski", "Friedrich", "" ] ]
0704.2768
Andrew Raich
Andrew Raich
Heat Equations and the Weighted $\bar\partial$-Problem
v5. 33 pages. Cleaned up the statements of the results, improved Theorem 4.4 and Theorem 7.3
Commun. Pure Appl. Anal. 11(3):885-909, 2012
null
null
math.AP math.CV
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The purpose of this article is to establish regularity and pointwise upper bounds for the (relative) fundamental solution of the heat equation associated to the weighted dbar-operator in $L^2(C^n)$ for a certain class of weights. The weights depend on a parameter, and we find pointwise bounds for heat kernel, as well as its derivatives in time, space, and the parameter. We also prove cancellation conditions for the heat semigroup. We reduce the $n$-dimensional case to the one-dimensional case, and the estimates in one-dimensional case are achieved by Duhamel's principle and commutator properties of the operators. As an application, we recover estimates of heat kernels on polynomial models in $C^2$.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 18:20:16 GMT" }, { "version": "v2", "created": "Mon, 21 Jan 2008 22:27:47 GMT" }, { "version": "v3", "created": "Fri, 10 Jul 2009 16:45:25 GMT" }, { "version": "v4", "created": "Tue, 17 Nov 2009 19:23:51 GMT" }, { "version": "v5", "created": "Fri, 20 Nov 2009 14:08:47 GMT" } ]
2012-08-13T00:00:00
[ [ "Raich", "Andrew", "" ] ]
0704.2769
Juan Antonio Nieto
J. A. Nieto
Towards a Background Independent Quantum Gravity in Eight Dimensions
27 pages, Latex,some improvements introduced, typos corrected
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We start a program of background independent quantum gravity in eight dimensions. We begin by considering canonical gravity \textit{a la} "Kaluza-Klein" in $D=d+1$ dimensions. We show that our canonical gravity approach can be applied to the case of self-dual gravity in four dimensions. Further, by using our previously proposed classical action of Ashtekar self-dual gravity formalism in eight dimensions, we proceed to develop the canonical approach in eight dimensions. Our construction considers different SO(8) symmetry breakings. In particular, the breaking $SO(8)=S_{R}^{7}% \times S_{L}^{7}\times G_{2}$ plays an important role in our discussion.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 18:22:04 GMT" }, { "version": "v2", "created": "Fri, 31 Aug 2007 23:53:43 GMT" }, { "version": "v3", "created": "Mon, 27 Oct 2008 19:55:52 GMT" } ]
2008-10-27T00:00:00
[ [ "Nieto", "J. A.", "" ] ]
0704.2770
Pavel Exner
Pavel Exner and Martin Fraas
A remark on helical waveguides
LaTeX, 12 pages
Phys. Lett. A369 (2007), 393-399
10.1016/j.physleta.2007.05.013
null
quant-ph cond-mat.mes-hall math-ph math.MP
null
Motivated by a proposal to create an optical helix-shaped waveguides for cold atoms and molecules, we discuss local perturbations which can create bound states in such a setting. This is known about a local slowdown of the twist; we show that a similar effect can result from a local tube protrusion or a change of the helix radius in correlation with its pitch angle.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 18:27:23 GMT" } ]
2019-12-10T00:00:00
[ [ "Exner", "Pavel", "" ], [ "Fraas", "Martin", "" ] ]
0704.2771
Mitja Mastnak
Mitja Mastnak, Sarah Witherspoon
Bialgebra cohomology, pointed Hopf algebras, and deformations
Cohomological results in the paper were significantly improved and generalized. See new abstract for details
null
null
null
math.RA math.QA
null
We give explicit formulas for maps in a long exact sequence connecting bialgebra cohomology to Hochschild cohomology. We give a sufficient condition for the connecting homomorphism to be surjective. We apply these results to compute all bialgebra two-cocycles of certain Radford biproducts (bosonizations). These two-cocycles are precisely those associated to the finite dimensional pointed Hopf algebras in the recent classification of Andruskiewitsch and Schneider, in an interpretation of these Hopf algebras as graded bialgebra deformations of Radford biproducts.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 18:27:46 GMT" }, { "version": "v2", "created": "Sun, 11 May 2008 23:58:45 GMT" } ]
2008-05-12T00:00:00
[ [ "Mastnak", "Mitja", "" ], [ "Witherspoon", "Sarah", "" ] ]
0704.2772
John Freeland
J.W. Freeland, J. Chakhalian, G. Cristiani, H.-U. Habermeier, and B. Keimer
On Magnetic Interlayer Coupling and Proximity Effect in a La$_{0.67}$Ca$_{0.33}$MnO$_3$(10 nm)/YBa$_2$Cu$_3$O$_7$(10 nm) Superlattice
4 pages, submitted to Applied Physics Letters
null
10.1063/1.2747678
null
cond-mat.str-el cond-mat.mtrl-sci
null
We present a study of interlayer coupling and proximity effects in a La$_{0.66}$Ca$_{0.33}$MnO$_3$(10 nm)/YBa$_2$Cu$_3$O$_7$(10 nm) superlattice. Using element-sensitive x-ray probes, the magnetic state of Mn can be probed without seeing the strong diamagnetism of the superconductor, which makes this approach ideal to study changes in the magnetic properties across the superconducting transition. By a combined experiment using {\it in situ} transport measurements during polarized soft x-ray measurements, we were able to see no noticeable influence of the superconducting state on the magnetic properties and no evidence for magnetic coupling across a 10 nm YBCO layer.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 18:36:00 GMT" } ]
2009-11-13T00:00:00
[ [ "Freeland", "J. W.", "" ], [ "Chakhalian", "J.", "" ], [ "Cristiani", "G.", "" ], [ "Habermeier", "H. -U.", "" ], [ "Keimer", "B.", "" ] ]
0704.2773
Pamela Morehouse
J.L Rosner, et al, CLEO Collaboration
Measurement of Upper Limits for Upsilon --> gamma + R Decays
15 pages postscript,also available through http://www.lns.cornell.edu/public/CLNS/2006/, Submitted to PRD
Phys.Rev.D76:117102,2007
10.1103/PhysRevD.76.117102
CLNS 06/1981, CLEO 06-21
hep-ex
null
Motivated by concerns regarding possible two-body contributions to the recently-measured inclusive Upsilon(nS)->gamma+X (n=1, 2, 3) direct photon spectra, we report on a new study of exclusive radiative decays of these narrow Upsilon(nS) resonances into two-body final states R+gamma, with R a narrow resonant hadronic state decaying into four or more charged particles. Such two-body processes are not explicitly addressed in the extant theoretical frameworks used to calculate the inclusive direct photon spectra, and must also be explicitly inserted into Monte Carlo simulations. Using data collected from the CLEO III detector at the Cornell Electron Storage Ring, we present upper limits of order 0.01 per cent for such bottomonium two-body decays as a function of the R recoil mass.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 18:37:13 GMT" } ]
2010-04-08T00:00:00
[ [ "Rosner", "J. L", "" ], [ "Collaboration", "CLEO", "" ] ]
0704.2774
Jonathan Rosner
Jonathan L. Rosner
Moriond QCD 2007 - Theory Summary
18 pages, 4 figures, XLII Rencontres de Moriond, La Thuile, Italy, 17-24 March 2007. References added; corrections to text and format
null
null
EFI 07-10
hep-ph hep-ex
null
Developments reported at the 2007 Moriond Workshop on QCD and Hadronic Interactions are reviewed and placed in a theoretical context.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 18:43:10 GMT" }, { "version": "v2", "created": "Mon, 30 Apr 2007 19:38:08 GMT" } ]
2007-05-23T00:00:00
[ [ "Rosner", "Jonathan L.", "" ] ]
0704.2775
Pierre Dreyfuss
Pierre Dreyfuss (IECN)
Results for a turbulent system with unbounded viscosities: weak formulations, existence of solutions, boundedness, smoothness'
null
Nonlinear Analysis: Theory, Methods, and Applications (2007) online publication: 10 January 2007
10.1016/j.na.2006.12.040
null
math.AP
null
We consider a circulation system arising in turbulence modelling in fluid dynamics with unbounded eddy viscosities. Various notions of weak solutions are considered and compared. We establish existence and regularity results. In particular we study the boundedness of weak solutions. We also establish an existence result for a classical solution
[ { "version": "v1", "created": "Fri, 20 Apr 2007 19:12:23 GMT" } ]
2007-10-03T00:00:00
[ [ "Dreyfuss", "Pierre", "", "IECN" ] ]
0704.2776
Thomas Krantz
Thomas Krantz (IECN, Urmul)
Holonomy representations which are a diagonal direct sum of two faithful representations
null
null
null
null
math.RT
null
We study holonomy representations admitting a pair of supplementary faithful sub-representations. In particular the cases where the sub-representations are isomorphic respectively dual to each other are treated. In each case we have a closer look at the classification in small dimension.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 19:12:51 GMT" }, { "version": "v2", "created": "Tue, 15 May 2007 09:46:33 GMT" }, { "version": "v3", "created": "Thu, 21 Feb 2008 13:16:23 GMT" } ]
2008-02-21T00:00:00
[ [ "Krantz", "Thomas", "", "IECN, Urmul" ] ]
0704.2777
Thomas Krantz
Lionel B\'erard Bergery (IECN), Thomas Krantz (IECN)
Representations admitting two pairs of supplementary invariant spaces
null
null
null
null
math.RT
null
We examine the lattice generated by two pairs of supplementary vector subspaces of a finite-dimensional vector space by intersection and sum, with the aim of applying the results to the study of representations admitting two pairs of supplementary invariant spaces, or one pair and a reflexive form. We show that such a representation is a direct sum of three canonical sub-representations which we characterize. We then focus on holonomy representations with the same property.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 19:15:46 GMT" }, { "version": "v2", "created": "Thu, 21 Feb 2008 10:51:19 GMT" } ]
2008-02-21T00:00:00
[ [ "Bergery", "Lionel Bérard", "", "IECN" ], [ "Krantz", "Thomas", "", "IECN" ] ]
0704.2778
Brooke Shrader
Brooke Shrader and Anthony Ephremides
Random Access Broadcast: Stability and Throughput Analysis
19 pages, 5 figures. Submitted as correspondence to IEEE Transactions on Information Theory, Sept 2006. Revised April 2007
IEEE Transactions on Information Theory, vol. 53, no. 8, pp. 2915-2921, August 2007.
null
null
cs.IT math.IT
null
A wireless network in which packets are broadcast to a group of receivers through use of a random access protocol is considered in this work. The relation to previous work on networks of interacting queues is discussed and subsequently, the stability and throughput regions of the system are analyzed and presented. A simple network of two source nodes and two destination nodes is considered first. The broadcast service process is analyzed assuming a channel that allows for packet capture and multipacket reception. In this small network, the stability and throughput regions are observed to coincide. The same problem for a network with N sources and M destinations is considered next. The channel model is simplified in that multipacket reception is no longer permitted. Bounds on the stability region are developed using the concept of stability rank and the throughput region of the system is compared to the bounds. Our results show that as the number of destination nodes increases, the stability and throughput regions diminish. Additionally, a previous conjecture that the stability and throughput regions coincide for a network of arbitrarily many sources is supported for a broadcast scenario by the results presented in this work.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 19:17:43 GMT" } ]
2007-11-05T00:00:00
[ [ "Shrader", "Brooke", "" ], [ "Ephremides", "Anthony", "" ] ]
0704.2779
J D
Jonas Dieckelmann
The Complexity of Simple Stochastic Games
Hi, while reading through literature i noticed that it has not yet been proved that computing the value vector of simple stochastic games is a Problem in FNP. This is why i came up with a prove in this seminar work of mine
null
null
null
cs.CC cs.GT
null
In this paper we survey the computational time complexity of assorted simple stochastic game problems, and we give an overview of the best known algorithms associated with each problem.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 19:51:36 GMT" } ]
2007-05-23T00:00:00
[ [ "Dieckelmann", "Jonas", "" ] ]
0704.2780
Robert Fesen
Gwen C. Rudie and Robert A. Fesen (Department of Physics and Astronomy, Dartmouth College)
Evidence for Pre-SN Mass Loss in the Galactic SNR 3C 58
To appear in "Circumstellar Media and Late Stages of Massive Stellar Evolution" Rev Mex AA (SC)
null
null
null
astro-ph
null
We discuss the findings of a comprehensive imaging and spectroscopic survey of the optical emission associated with the supernova remnant 3C 58 (Fesen et al. 2007) as they relate to the topic of pre-SN mass loss. Spectroscopically measured radial velocities of ~450 emission knots within the remnant show two distinct kinematic populations of optical knots: a high-velocity group with radial velocities in the range of 700 - 1100 km/s and a lower velocity group exhibiting radial expansion velocities below ~250 km/s. We interpret the high-velocity knots as ejecta from the SN explosion and the low-velocity knots as shocked circumstellar material likely resulting from pre-SN mass loss. The chemical signatures of the two populations also show marked differences. The high velocity group includes a substantial number of knots with notably higher [N II]/H-alpha ratios not seen in the lower velocity population, suggesting greater nitrogen enrichment in the SN ejecta than in the CSM. These results are compared with evidence for pre-SN mass loss in the Crab Nebula, perhaps the SNR most similar to 3C 58. These SNRs may comprise two case studies of pre-SN mass loss in relatively low mass (~8 - 10 solar masses) core-collapse SN progenitors.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 19:42:37 GMT" } ]
2007-05-23T00:00:00
[ [ "Rudie", "Gwen C.", "", "Department of Physics and\n Astronomy, Dartmouth College" ], [ "Fesen", "Robert A.", "", "Department of Physics and\n Astronomy, Dartmouth College" ] ]
0704.2781
Vladimir Karas
V. Karas, L. Subr
Enhanced activity of massive black holes by stellar capture assisted by a self-gravitating accretion disc
10 pages, 5 figures; Astronomy & Astrophysics accepted
Astronomy and Astrophysics 470 (2007) 11-19
10.1051/0004-6361:20066068
null
astro-ph
null
We study the probability of close encounters between stars from a nuclear cluster and a massive black hole. The gravitational field of the system is dominated by the black hole in its sphere of influence. It is further modified by the cluster mean field (a spherical term) and a gaseous disc/torus (an axially symmetric term) causing a secular evolution of stellar orbits via Kozai oscillations. Intermittent phases of large eccentricity increase the chance that stars become damaged inside the tidal radius of the central hole. Such events can produce debris and lead to recurring episodes of enhanced accretion activity. We introduce an effective loss cone and associate it with tidal disruptions during the high-eccentricity phases of the Kozai cycle. By numerical integration of the trajectories forming the boundary of the loss cone we determine its shape and volume. We also include the effect of relativistic advance of pericentre. The potential of the disc has the efffect of enlarging the loss cone and, therefore, the predicted number of tidally disrupted stars should grow by factor of ~10^2. On the other hand, the effect of the cluster mean potential together with the relativistic pericentre advance act against the eccentricity oscillations. In the end we expect the tidal disruption events to be approximately ten times more frequent in comparison with the model in which the three effects -- the cluster mean field, the relativistic pericentre advance, and the Kozai mechanism -- are all ignored. The competition of different influences suppresses the predicted star disruption rate as the black hole mass increases. Hence, the process under consideration is more important for intermediate-mass black holes, M_bh~10^4M_s.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 20:02:45 GMT" } ]
2007-08-23T00:00:00
[ [ "Karas", "V.", "" ], [ "Subr", "L.", "" ] ]
0704.2782
Robert Schmunk
P.A. Kharecha, J.E. Hansen (NASA GISS and Columbia Univ. Earth Institute)
Implications of "peak oil" for atmospheric CO2 and climate
(22 pages, 7 figures; final version accepted by Global Biogeochemical Cycles)
Publ. in Global Biogeochem. Cycles, 22, GB3012 (2008)
10.1029/2007GB003142
null
physics.ao-ph
null
Unconstrained CO2 emission from fossil fuel burning has been the dominant cause of observed anthropogenic global warming. The amounts of "proven" and potential fossil fuel reserves are uncertain and debated. Regardless of the true values, society has flexibility in the degree to which it chooses to exploit these reserves, especially unconventional fossil fuels and those located in extreme or pristine environments. If conventional oil production peaks within the next few decades, it may have a large effect on future atmospheric CO2 and climate change, depending upon subsequent energy choices. Assuming that proven oil and gas reserves do not greatly exceed estimates of the Energy Information Administration, and recent trends are toward lower estimates, we show that it is feasible to keep atmospheric CO2 from exceeding about 450 ppm by 2100, provided that emissions from coal, unconventional fossil fuels, and land use are constrained. Coal-fired power plants without sequestration must be phased out before mid-century to achieve this CO2 limit. It is also important to "stretch" conventional oil reserves via energy conservation and efficiency, thus averting strong pressures to extract liquid fuels from coal or unconventional fossil fuels while clean technologies are being developed for the era "beyond fossil fuels". We argue that a rising price on carbon emissions is needed to discourage conversion of the vast fossil resources into usable reserves, and to keep CO2 beneath the 450 ppm ceiling.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 20:03:07 GMT" }, { "version": "v2", "created": "Wed, 14 Nov 2007 01:17:55 GMT" }, { "version": "v3", "created": "Mon, 17 Mar 2008 21:16:53 GMT" } ]
2008-08-04T00:00:00
[ [ "Kharecha", "P. A.", "", "NASA GISS and Columbia Univ. Earth\n Institute" ], [ "Hansen", "J. E.", "", "NASA GISS and Columbia Univ. Earth\n Institute" ] ]
0704.2783
Hector Crocce
M. Crocce, R. Scoccimarro
Nonlinear Evolution of Baryon Acoustic Oscillations
18 pages, 8 figures, submitted to Phys. Rev. D. v2: We show that mode-coupling introduces out of phase oscillations that lead to shifts in the power spectrum nodes in the method of arXiv:0705.3323
Phys.Rev.D77:023533,2008
10.1103/PhysRevD.77.023533
null
astro-ph
null
We study the nonlinear evolution of the baryon acoustic oscillations (BAO) in the dark matter power spectrum and correlation function using renormalized perturbation theory (RPT). In a previous paper we showed that RPT successfully predicts the damping of acoustic oscillations; here we extend our calculation to the enhancement of power due to mode-coupling. We show that mode-coupling generates additional oscillations that are out of phase with those in the linear spectrum, leading to shifts in the scales of oscillation nodes defined with respect to a smooth spectrum. When Fourier transformed, these out of phase oscillations induce percent-level shifts in the acoustic peak of the two-point correlation function. We present predictions for these shifts as a function of redshift; these should be considered as a robust lower limit to the more realistic case that includes in addition redshift distortions and galaxy bias. We show that these nonlinear effects occur at very large scales, leading to a breakdown of linear theory at scales much larger than commonly thought. We discuss why virialized halo profiles are not responsible for these effects, which can be understood from basic physics of gravitational instability. Our results are in excellent agreement with numerical simulations, and can be used as a starting point for modeling BAO in future observations. To meet this end, we suggest a simple physically motivated model to correct for the shifts caused by mode-coupling.
[ { "version": "v1", "created": "Mon, 23 Apr 2007 19:40:37 GMT" }, { "version": "v2", "created": "Tue, 6 Nov 2007 15:54:36 GMT" } ]
2008-12-18T00:00:00
[ [ "Crocce", "M.", "" ], [ "Scoccimarro", "R.", "" ] ]
0704.2784
Ted Ashton
Ted Ashton
Exploring Continuous Tensegrities
165 pages, 65 figures, dissertation; replaced proof of Prop. 3.7.20
null
null
null
math.MG
null
A discrete tensegrity framework can be thought of as a graph in Euclidean n-space where each edge is of one of three types: an edge with a fixed length (bar) or an edge with an upper (cable) or lower (strut) bound on its length. Roth and Whiteley, in their 1981 paper "Tensegrity Frameworks", showed that in certain cases, the struts and cables can be replaced with bars when analyzing the framework for infinitesimal rigidity. In that case we call the tensegrity "bar equivalent". In specific, they showed that if there exists a set of positive weights, called a positive "stress", on the edges such that the weighted sum of the edge vectors is zero at every vertex, then the tensegrity is bar equivalent. In this paper we consider an extended version of the tensegrity framework in which the vertex set is a (possibly infinite) set of points in Euclidean n-space and the edgeset is a compact set of unordered pairs of vertices. These are called "continuous tensegrities". We show that if a continuous tensegrity has a strictly positive stress, it is bar equivalent and that it has a semipositive stress if and only if it is partially bar equivalent. We also show that if a tensegrity is minimally bar equivalent (it is bar equivalent but removing any open set of edges makes it no longer so), then it has a strictly positive stress. In particular, we examine the case where the vertices form a rectifiable curve and the possible motions of the curve are limited to local isometries of it. Our methods provide an attractive proof of the following result: There is no locally arclength preserving motion of a circle that increases any antipodal distance without decreasing some other one.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 20:10:02 GMT" }, { "version": "v2", "created": "Mon, 14 May 2007 23:25:18 GMT" } ]
2009-09-29T00:00:00
[ [ "Ashton", "Ted", "" ] ]
0704.2785
Fumihiro Takayama
Fumihiro Takayama
Extremely Long-Lived Charged Massive Particles as A Probe for Reheating of the Universe
7 pages, 2 figures, published in Physical Review D
Phys.Rev.D77:116003,2008
10.1103/PhysRevD.77.116003
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We discuss the impact of charged massive particle big bang nucleosynthesis(CBBN) to explore the nature of the reheating of the Universe in the case that a new extremely long-lived charged massive particle(CHAMP) exists. If the mass of the CHAMP is within collider reach and it's lifetime is longer than $10^4$sec, the comparison between the CBBN prediction and observed $^6$Li abundances may indicate nonstandard reheating in the early Universe without relying on details of the decay properties. Even if the CHAMP mass is outside the reach of colliders, the cosmological considerations may provide a nontrivial hint for the existence of such very heavy long-lived CHAMPs from the late Universe if the daughter particles are the dominant component of the present dark matter. We consider a low reheating temperature model as an example of the nonstandard reheating scenarios.
[ { "version": "v1", "created": "Mon, 23 Apr 2007 17:34:56 GMT" }, { "version": "v2", "created": "Mon, 30 Apr 2007 16:40:45 GMT" }, { "version": "v3", "created": "Sat, 5 May 2007 09:00:58 GMT" }, { "version": "v4", "created": "Mon, 27 Aug 2007 18:44:51 GMT" }, { "version": "v5", "created": "Tue, 17 Jun 2008 17:56:25 GMT" } ]
2008-11-26T00:00:00
[ [ "Takayama", "Fumihiro", "" ] ]
0704.2786
Wenyi Zhang
Wenyi Zhang, Shivaprasad Kotagiri, and J. Nicholas Laneman
Writing on Dirty Paper with Resizing and its Application to Quasi-Static Fading Broadcast Channels
To appear in IEEE International Symposium on Information Theory 2007
null
10.1109/ISIT.2007.4557255
null
cs.IT math.IT
null
This paper studies a variant of the classical problem of ``writing on dirty paper'' in which the sum of the input and the interference, or dirt, is multiplied by a random variable that models resizing, known to the decoder but not to the encoder. The achievable rate of Costa's dirty paper coding (DPC) scheme is calculated and compared to the case of the decoder's also knowing the dirt. In the ergodic case, the corresponding rate loss vanishes asymptotically in the limits of both high and low signal-to-noise ratio (SNR), and is small at all finite SNR for typical distributions like Rayleigh, Rician, and Nakagami. In the quasi-static case, the DPC scheme is lossless at all SNR in terms of outage probability. Quasi-static fading broadcast channels (BC) without transmit channel state information (CSI) are investigated as an application of the robustness properties. It is shown that the DPC scheme leads to an outage achievable rate region that strictly dominates that of time division.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 20:29:32 GMT" } ]
2016-11-17T00:00:00
[ [ "Zhang", "Wenyi", "" ], [ "Kotagiri", "Shivaprasad", "" ], [ "Laneman", "J. Nicholas", "" ] ]
0704.2787
Cristiano Dias Mr.
Cristiano L. Dias, Tapio Ala-Nissila, Mikko Karttunen, Ilpo Vattulainen and Martin Grant
Microscopic mechanism for cold denaturation
null
null
10.1103/PhysRevLett.100.118101
null
cond-mat.soft
null
We elucidate the mechanism of cold denaturation through constant-pressure simulations for a model of hydrophobic molecules in an explicit solvent. We find that the temperature dependence of the hydrophobic effect is the driving force/induces/facilitates cold denaturation. The physical mechanism underlying this phenomenon is identified as the destabilization of hydrophobic contact in favor of solvent separated configurations, the same mechanism seen in pressure induced denaturation. A phenomenological explanation proposed for the mechanism is suggested as being responsible for cold denaturation in real proteins.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 20:33:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Dias", "Cristiano L.", "" ], [ "Ala-Nissila", "Tapio", "" ], [ "Karttunen", "Mikko", "" ], [ "Vattulainen", "Ilpo", "" ], [ "Grant", "Martin", "" ] ]
0704.2788
Michael Ibison
M. Ibison
On the Conformal forms of the Robertson-Walker metric
Historical review added. Accepted by J. Math. Phys
J.Math.Phys.48:122501,2007
10.1063/1.2815811
null
gr-qc
null
All possible transformations from the Robertson-Walker metric to those conformal to the Lorentz-Minkowski form are derived. It is demonstrated that the commonly known family of transformations and associated conformal factors are not exhaustive and that there exists another relatively less well known family of transformations with a different conformal factor in the particular case that K = -1. Simplified conformal factors are derived for the special case of maximally-symmetric spacetimes. The full set of all possible cosmologically-compatible conformal forms is presented as a comprehensive table. A product of the analysis is the determination of the set-theoretical relationships between the maximally symmetric spacetimes, the Robertson-Walker spacetimes, and functionally more general spacetimes. The analysis is preceded by a short historical review of the application of conformal metrics to Cosmology.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 20:38:48 GMT" }, { "version": "v2", "created": "Thu, 25 Oct 2007 22:29:46 GMT" } ]
2008-11-26T00:00:00
[ [ "Ibison", "M.", "" ] ]
0704.2789
Alexei Poltoratski
Evgeny Abakumov and Alexei Poltoratski
Pseudocontinuation and cyclicity for random power series
null
null
null
null
math.CV
null
We prove that a random function in the Hardy space $H^2$ is a non-cyclic vector for the backward shift operator almost surely. The question of existence of a local pseudocontinuation for a random analytic function is also studied.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 20:52:50 GMT" } ]
2007-05-23T00:00:00
[ [ "Abakumov", "Evgeny", "" ], [ "Poltoratski", "Alexei", "" ] ]
0704.2790
Meta van Faassen
Meta van Faassen, Adam Wasserman, Eberhard Engel, Fan Zhang, and Kieron Burke
Time-dependent Density Functional calculation of e-H scattering
5 pages, 4 figures, 1 table
null
10.1103/PhysRevLett.99.043005
null
cond-mat.mtrl-sci
null
Phase shifts for single-channel elastic electron-atom scattering are derived from time-dependent density functional theory. The H$^-$ ion is placed in a spherical box, its discrete spectrum found, and phase shifts deduced. Exact-exchange yields an excellent approximation to the ground-state Kohn-Sham potential, while the adiabatic local density approximation yields good singlet and triplet phase shifts.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 20:56:07 GMT" }, { "version": "v2", "created": "Wed, 11 Jul 2007 14:32:26 GMT" } ]
2009-11-13T00:00:00
[ [ "van Faassen", "Meta", "" ], [ "Wasserman", "Adam", "" ], [ "Engel", "Eberhard", "" ], [ "Zhang", "Fan", "" ], [ "Burke", "Kieron", "" ] ]
0704.2791
William Sumner
W. Q. Sumner and D. Y. Sumner
Coevolution of Quantum Wave Functions and the Friedmann Universe
8 pages
Nauka i Obrazovanie 4:113-116,2000
null
null
physics.gen-ph
null
Erwin Schrodinger (1939) proved that quantum wave functions coevolve with the curved spacetime of the Friedmann universe. Schrodinger's derivation explains the Hubble redshift of photons in an expanding universe, the energy changes of moving particles, and establishes the coevolution of atoms and other quantum systems with spacetime geometry. The assumption often made that small quantum systems are isolated and that their properties remain constant as the Friedmann universe evolves is incompatible with relativistic quantum mechanics and with general relativity.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 21:00:34 GMT" } ]
2009-04-21T00:00:00
[ [ "Sumner", "W. Q.", "" ], [ "Sumner", "D. Y.", "" ] ]
0704.2792
Waldeci Paraguassu
P.F. Facanha Filho, P.T.C. Freire, K.C.V. Lima, J. Mendes Filho, F.E.A. Melo and P.S. Pizani
Raman spectra of L-leucine crystals
12 pages in the body and 5 figures
null
null
null
cond-mat.mtrl-sci
null
Single crystal samples of L-leucine, C6H13NO2, a fundamental aliphatic amino acid of the human body, have been studied by Raman spectroscopy at temperatures from 300 to 430 K over the spectral range from 50 to 3100 cm-1. A tentative assignment of all bands is given. For high temperatures, several modifications on the Raman spectra were observed at about 353 K, giving evidence that the L-leucine crystal undergoes a structural phase transition.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 21:16:10 GMT" } ]
2007-05-23T00:00:00
[ [ "Filho", "P. F. Facanha", "" ], [ "Freire", "P. T. C.", "" ], [ "Lima", "K. C. V.", "" ], [ "Filho", "J. Mendes", "" ], [ "Melo", "F. E. A.", "" ], [ "Pizani", "P. S.", "" ] ]
0704.2793
Matthew Scott
Matthew Scott, Terence Hwa and Brian Ingalls
Deterministic characterization of stochastic genetic circuits
6 pages (Supplementary Information is appended)
Proceedings of the National Academy of Sciences USA (2007), vol. 104(18): 7402-7407
10.1073/pnas.0610468104
null
q-bio.MN q-bio.QM
null
For cellular biochemical reaction systems where the numbers of molecules is small, significant noise is associated with chemical reaction events. This molecular noise can give rise to behavior that is very different from the predictions of deterministic rate equation models. Unfortunately, there are few analytic methods for examining the qualitative behavior of stochastic systems. Here we describe such a method that extends deterministic analysis to include leading-order corrections due to the molecular noise. The method allows the steady-state behavior of the stochastic model to be easily computed, facilitates the mapping of stability phase diagrams that include stochastic effects and reveals how model parameters affect noise susceptibility, in a manner not accessible to numerical simulation. By way of illustration we consider two genetic circuits: a bistable positive-feedback loop and a negative-feedback oscillator. We find in the positive feedback circuit that translational activation leads to a far more stable system than transcriptional control. Conversely, in a negative-feedback loop triggered by a positive-feedback switch, the stochasticity of transcriptional control is harnessed to generate reproducible oscillations.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 21:18:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Scott", "Matthew", "" ], [ "Hwa", "Terence", "" ], [ "Ingalls", "Brian", "" ] ]
0704.2794
Rafael Quintero-Torres
R. Quintero-Torres and J.L. Aragon, M. Torres, M. Estrada and L. Cros
Strong far field coherent scattering of ultraviolet radiation by holococcolithophores
4 pages and 4 figures
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Sep;74:2006 Sep 12
null
null
physics.bio-ph
null
By considering the structure of holococcoliths (calcite plates that cover holococcolithophores, a haploid phase of the coccolithophore life cycle) as a photonic structure, we apply a discrete dipolar approximation to study the light backscattering properties of these algae. We show that some holococcolith structures have the ability to scatter the ultraviolet (UV) radiation. This property may represent an advantage for holococcolithophores possessing it, by allowing them to live higher in the water column than other coccolithophores.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 21:22:04 GMT" } ]
2007-05-23T00:00:00
[ [ "Quintero-Torres", "R.", "" ], [ "Aragon", "J. L.", "" ], [ "Torres", "M.", "" ], [ "Estrada", "M.", "" ], [ "Cros", "L.", "" ] ]
0704.2795
Boris Vainberg
S. Molchanov, B. Vainberg
Laplace Operator in Networks of Thin Fibers: Spectrum Near the Threshold
null
Stochastic analysis in mathematical physics, 69-93, World Sci. Publ., Hackensack, NJ, 2008
null
null
math-ph math.MP
null
Our talk at Lisbon SAMP conference was based mainly on our recent results (published in Comm. Math. Phys.) on small diameter asymptotics for solutions of the Helmgoltz equation in networks of thin fibers. The present paper contains a detailed review of these results under some assumptions which make them much more transparent. It also contains several new theorems on the structure of the spectrum near the threshold. small diameter asymptotics of the resolvent, and solutions of the evolution equation.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 21:27:40 GMT" } ]
2016-04-04T00:00:00
[ [ "Molchanov", "S.", "" ], [ "Vainberg", "B.", "" ] ]
0704.2796
Alan L. T. Paterson
Anthony T. Lau and Alan L. T. Paterson
Group amenability properties for von Neumann algebras
null
Indiana University Mathematics Journal 55(2006), 1363-1388
null
null
math.OA math.FA
null
In his study of amenable unitary representations, M. E. B. Bekka asked if there is an analogue for such representations of the remarkable fixed-point property for amenable groups. In this paper, we prove such a fixed-point theorem in the more general context of a $G$-amenable von Neumann algebra $M$, where $G$ is a locally compact group acting on $M$. The F{\o}lner conditions of Connes and Bekka are extended to the case where $M$ is semifinite and admits a faithful, semifinite, normal trace which is invariant under the action of $G$.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 21:36:47 GMT" }, { "version": "v2", "created": "Tue, 22 May 2007 14:23:28 GMT" } ]
2007-05-23T00:00:00
[ [ "Lau", "Anthony T.", "" ], [ "Paterson", "Alan L. T.", "" ] ]
0704.2797
Alan L. T. Paterson
Alan L. T. Paterson
The equivariant analytic index for proper groupoid actions
null
K-Theory 32: 193-230, 2004
null
null
math.OA math.KT
null
The paper constructs the analytic index for an elliptic pseudodifferential family of $L^{m}_{\rho,\de}$-operators invariant under the proper action of a continuous family groupoid on a $G$-compact, $C^{\infty,0}$ $G$-space.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 21:47:27 GMT" } ]
2007-05-23T00:00:00
[ [ "Paterson", "Alan L. T.", "" ] ]
0704.2798
Lance Dixon
Zvi Bern, Lance J. Dixon, David A. Kosower
On-Shell Methods in Perturbative QCD
49 pages, 15 figures. v2: minor typos corrected
Annals Phys.322:1587-1634,2007
10.1016/j.aop.2007.04.014
UCLA/07/TEP/11, SLAC-PUB-12447, SPhT-T07/039
hep-ph
null
We review on-shell methods for computing multi-parton scattering amplitudes in perturbative QCD, utilizing their unitarity and factorization properties. We focus on aspects which are useful for the construction of one-loop amplitudes needed for phenomenological studies at the Large Hadron Collider.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 21:48:53 GMT" }, { "version": "v2", "created": "Wed, 30 May 2007 16:54:54 GMT" } ]
2010-11-15T00:00:00
[ [ "Bern", "Zvi", "" ], [ "Dixon", "Lance J.", "" ], [ "Kosower", "David A.", "" ] ]
0704.2799
Alan L. T. Paterson
Alan L. T. Paterson
The analytic index for proper, Lie groupoid actions
null
Comtemp. Math. 282(2001), 115-135
null
null
math.OA math.KT
null
Many index theorems (both classical and in noncommutative geometry) can be interpreted in terms of a Lie groupoid acting properly on a manifold and leaving an elliptic family of pseudodifferential operators invariant. Alain Connes in his book raised the question of an index theorem in this general context. In this paper, an analytic index for many such situations is constructed. The approach is inspired by the classical families theorem of Atiyah and Singer, and the proof generalizes, to the case of proper Lie groupoid actions, some of the results proved for proper locally compact group actions by N. C. Phillips.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 21:53:44 GMT" } ]
2007-05-23T00:00:00
[ [ "Paterson", "Alan L. T.", "" ] ]
0704.2800
Alan L. T. Paterson
Alan L. T. Paterson
The Fourier algebra for locally compact groupoids
null
Canadian Journal of Mathematics 56(2004), 1259-1289
null
null
math.OA math.FA
null
We introduce and investigate using Hilbert modules the properties of the {\em Fourier algebra} $A(G)$ for a locally compact groupoid $G$. We establish a duality theorem for such groupoids in terms of multiplicative module maps. This includes as a special case the classical duality theorem for locally compact groups proved by P. Eymard.
[ { "version": "v1", "created": "Fri, 20 Apr 2007 21:59:56 GMT" } ]
2007-05-23T00:00:00
[ [ "Paterson", "Alan L. T.", "" ] ]