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Correlations in Nonequilibrium Steady States

Kevin K. Lin·Lai-Sang Young
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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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Kevin K. Lin, Lai-Sang Young. 2007-04-18. Correlations in Nonequilibrium Steady States. https://arxiv.org/abs/cond-mat/0610021

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