2005

Granular gases: dynamics and collective effects

Alain Barrat 1, Emmanuel Trizac 2, Matthieu H. Ernst 3 Journal of Physics: Condensed Matter 17 (2005) S2429-S2437 We present a biased review of some of the most \’spectacular\’ effects appearing in the dynamics of granular gases where the dissipative nature of the collisions leads to a rich phenomenology, exhibiting striking differences with equilibrium gases. Among these differences, the focus here

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Geometry of Gaussian signals

Alberto Rosso 1, Raoul Santachiara 2, Werner Krauth 3 Journal of Statistical Mechanics: Theory and Experiment 1 (2005) L08001 We consider Gaussian signals, i.e. random functions $u(t)$ ($t/L \\in [0,1]$) with independent Gaussian Fourier modes of variance $\\sim 1/q^{\\alpha}$, and compute their statistical properties in small windows $[x, x+\\delta]$. We determine moments of the probability distribution of the mean square width

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Functionals of the Brownian motion, localization and metric graphs

Alain Comtet 1, 2, Jean Desbois 1, Christophe Texier 1, 3 Journal of Physics A 38 (2005) R341-R383 We review several results related to the problem of a quantum particle in a random environment. In an introductory part, we recall how several functionals of the Brownian motion arise in the study of electronic transport in weakly disordered metals (weak localization). Two aspects of

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Fluctuations of internal energy flow in a vibrated granular gas

A. Puglisi 1, P. Visco 1, 2, A. Barrat 1, E. Trizac 2, F. van Wijland 1, 3 Physical Review Letters 95 (2005) 110202 The non-equilibrium fluctuations of power flux in a fluidized granular media have been recently measured in an experiment [Phys. Rev. Lett. 92, 164301, 2004], which was announced to be a verification of the Fluctuation Relation (FR) by Gallavotti and Cohen. An effective temperature

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Fluctuations in the level density of a Fermi gas

P. Leboeuf 1, A. G. Monastra 2, A. Relano 3 Physical Review Letters 94 (2005) 102502 We present a theory that accurately describes the counting of excited states of a noninteracting fermionic gas. At high excitation energies the results reproduce Bethe\’s theory. At low energies oscillatory corrections to the many–body density of states, related to shell effects, are obtained. The fluctuations

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Finite temperature correlations and density profiles of an inhomogeneous interacting 1D Bose gas

K. V. Kheruntsyan 1, D. M. Gangardt 2, 3, P. D. Drummond 1, G. V. Shlyapnikov 2, 4 Physical Review A: Atomic, Molecular and Optical Physics 71 (2005) 053615 We calculate the density profiles and density correlation functions of the one-dimensional Bose gas in a harmonic trap, using the exact finite-temperature solutions for the uniform case, and applying a local density approximation. The results are

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Fermi Edge Singularities in the Mesoscopic Regime: I. Anderson Orthogonality Catastrophe

Martina Hentschel 1, 2, Denis Ullmo 1, 3, Harold U. Baranger 1 Physical Review B 72 (2005) 035310 For generic mesoscopic systems like quantum dots or nanoparticles, we study the Anderson orthogonality catastrophe (AOC) and Fermi edge singularities in photoabsorption spectra in a series of two papers. In the present paper we focus on AOC for a finite number of particles in discrete energy

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Exact coherent states of a harmonically confined Tonks-Girardeau gas

A. Minguzzi 1, D. M. Gangardt 1 Physical Review Letters 94 (2005) 240404 Using a scaling transformation we exactly determine the dynamics of an harmonically confined Tonks-Girardeau gas under arbitrary time variations of the trap frequency. We show how during a one-dimensional expansion a « dynamical fermionization\’\’ occurs as the momentum distribution rapidly approaches an ideal Fermi gas distribution, and

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