publications

Non-equilibrium relaxation of an elastic string in a random potential

Alejandro Kolton 1, Alberto Rosso 2, Thierry Giamarchi 1 Physical Review Letters 95 (2005) 180604 We study the non–equilibrium motion of an elastic string in a two dimensional pinning landscape using Langevin dynamics simulations. The relaxation of a line, initially flat, is characterized by a growing length, $L(t)$, separating the equilibrated short length scales from the flat long distance geometry that […]

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Mesoscopic Kondo Problem

Ribhu K. Kaul 1, Denis Ullmo 1, 2, Shailesh Chandrasekharan 1, Harold U. Baranger 1 Europhysics Letters (EPL) 71 (2005) 973-979 We study the effect of mesoscopic fluctuations on a magnetic impurity coupled to a spatially confined electron gas with a temperature in the mesoscopic range (i.e. between the mean level spacing $\\Delta$ and the Thouless energy $E_{\\rm Th}$). Comparing « poor-man\’s scaling\’\’ with exact

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Maxwell and very hard particle models for probabilistic ballistic annihilation: hydrodynamic description

Francois Coppex 1, Michel Droz 1, Emmanuel Trizac 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 72 (2005) 021105 The hydrodynamic description of probabilistic ballistic annihilation, for which no conservation laws hold, is an intricate problem with hard sphere-like dynamics for which no exact solution exists. We consequently focus on simplified approaches, the Maxwell and very hard particles (VHP)

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Lossy data compression with random gates

S. Ciliberti 1, M. Mezard 1, R. Zecchina 2 Physical Review Letters 95 (2005) 038701 We introduce a new protocol for a lossy data compression algorithm which is based on constraint satisfaction gates. We show that the theoretical capacity of algorithms built from standard parity-check gates converges exponentially fast to the Shannon\’s bound when the number of variables seen by each

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Level density of a Fermion gas: average growth, fluctuations, universality

Patricio Leboeuf 1 Nuclei and Mesoscopic Physics at the National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing : États-Unis (2005) It has been shown by H. Bethe more than 70 years ago that the number of excited states of a Fermi gas grows, at high excitation energies $Q$, like the exponential of the square root of

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Landscape of solutions in constraint satisfaction problems

Marc Mezard 1, Matteo Palassini 1, 2, Olivier Rivoire 1 Physical Review Letters 95 (2005) 200202 We present a theoretical framework for characterizing the geometrical properties of the space of solutions in constraint satisfaction problems, together with practical algorithms for studying this structure on particular instances. We apply our method to the coloring problem, for which we obtain the total number of

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Interactions and Broken Time-Reversal Symmetry in Chaotic Quantum Dots

Denis Ullmo 1, 2, Hong Jiang 1, 3, Weitao Yang 3, Harold U. Baranger 1 Physical Review B 71 (2005) 201310 When treating interactions in quantum dots within a RPA-like approach, time-reversal symmetry plays an important role as higher-order terms — the Cooper series — need to be included when this symmetry is present. Here we consider model quantum dots in a magnetic field weak

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