2007

The Rotor Model with spectral parameters and enumerations of Alternating Sign Matrices

Luigi Cantini 1 Journal of statistical mechanics-theory and experiment (2007) P08012 In this paper we study the Rotor Model of Martins and Nienhuis. After introducing spectral parameters, a combined use of integrability, polynomiality of the ground state wave function and a mapping into the fully-packed O(1)-model allows us to determine the sum rule and a family of […]

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The renormalized jellium model for spherical and cylindrical colloids

Salete Pianegonda 1, 2, Emmanuel Trizac 1, Yan Levin 2 Journal of Chemical Physics 126 (2007) 014702 Starting from a mean-field description for a dispersion of highly charged spherical or (parallel) rod-like colloids, we introduce the simplification of a homogeneous background to include the contribution of other polyions to the static field created by a tagged polyion. The charge of this background

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The Phase Diagram of 1-in-3 Satisfiability Problem

Jack Raymond 1, Andrea Sportiello 2, Lenka Zdeborová 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 011101 We study the typical case properties of the 1-in-3 satisfiability problem, the boolean satisfaction problem where a clause is satisfied by exactly one literal, in an enlarged random ensemble parametrized by average connectivity and probability of negation of a variable

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The first-passage area for drifted Brownian motion and the moments of the Airy distribution

Michael J. Kearney 1, Satya N. Majumdar 2, Richard J. Martin 3 Journal of Physics A Mathematical and Theoretical 40 (2007) F863 An exact expression for the distribution of the area swept out by a drifted Brownian motion till its first-passage time is derived. A study of the asymptotic behaviour confirms earlier conjectures and clarifies their range of validity. The analysis

The first-passage area for drifted Brownian motion and the moments of the Airy distribution Lire la suite »

Tagged Particle Correlations in the Asymmetric Simple Exclusion Process: Finite Size Effects

Shamik Gupta 1, Satya N. Majumdar 2, Claude Godrèche 3, Mustansir Barma 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 021112 We study finite size effects in the variance of the displacement of a tagged particle in the stationary state of the Asymmetric Simple Exclusion Process (ASEP) on a ring of size $L$. The process involves hard core particles

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Superfluidity versus Anderson localization in a dilute Bose gas

T. Paul 1, P. Schlagheck 2, P. Leboeuf 1, N. Pavloff 1 Physical Review Letters 98 (2007) 210602 We consider the motion of a quasi one dimensional beam of Bose-Einstein condensed particles in a disordered region of finite extent. Interaction effects lead to the appearance of two distinct regions of stationary flow. One is subsonic and corresponds to superfluid motion. The other one

Superfluidity versus Anderson localization in a dilute Bose gas Lire la suite »

Statistical properties of single-file diffusion front

Sanjib Sabhapandit 1 Journal of Statistical Mechanics: Theory and Experiment (2007) L05002 Statistical properties of the front of a semi-infinite system of single-file diffusion (one dimensional system where particles cannot pass each other, but in-between collisions each one independently follow diffusive motion) are investigated. Exact as well as asymptotic results are provided for the probability density function

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Statistical Mechanics of the Hyper Vertex Cover Problem

M. Mézard 1, M. Tarzia 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 041124 We introduce and study a new optimization problem called Hyper Vertex Cover. This problem is a generalization of the standard vertex cover to hypergraphs: one seeks a configuration of particles with minimal density such that every hyperedge of the hypergraph contains

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