Correlations in Nonequilibrium Steady States
Statistical Mechanics
2007-05-23 v2 Cellular Automata and Lattice Gases
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.
Keywords
Cite
@article{arxiv.cond-mat/0610021,
title = {Correlations in Nonequilibrium Steady States},
author = {Kevin K. Lin and Lai-Sang Young},
journal= {arXiv preprint arXiv:cond-mat/0610021},
year = {2007}
}
Comments
30 pages, 20 figures