Correlations in Nonequilibrium Steady States

2006/10/01 by Kevin Lin, Kevin K. Lin, Lai-Sang Young +2
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #nlin.CG

paper · pdf · doi:10.48550/arxiv.cond-mat/0610021

30 pages, 20 figures

openalex publication_date 2006/10/01 · arxiv created 2007/04/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present the results of a detailed study of energy correlations at steady state for a 1-D model of coupled energy and matter transport. Our aim is to discover -- via theoretical arguments, conjectures, and numerical simulations -- how spatial covariances scale with system size, their relations to local thermodynamic quantities, and the randomizing effects of heat baths. Among our findings are that short-range covariances respond quadratically to local temperature gradients, and long-range covariances decay linearly with macroscopic distance. These findings are consistent with exact results for the simple exclusion and KMP models.

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