High-temperature expansion for steady nonequilibrium states in driven\n lattice gases

2004/07/21 by Raphael Lefevere, R. Lefevere, Lefevere, Raphael +2
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0407552

4 pages, no figures

arxiv created 2004/07/21 · openalex publication_date 2004/07/21 · arxiv updated 2009/12/01 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

We develop a controlled high-temperature expansion for nonequilibrium steady\nstates of the driven lattice gas. We represent the steady state as\nP(\η)\∝ e^{-H(\η)-\Ψ(\η)}, and evaluate the lowest order\ncontribution to the nonequilibrium effective interaction \Ψ(\η). We see\nthat, in dimensions d\≥2, all models with nonsingular transition rates have\nthe same \Ψ(\η), which consists of a three-body effective interaction\ndecaying like 1/r^2d+1. The models with the Metropolis rule show\nexceptional behavior.\n

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