Correlations in Nonequilibrium Steady States

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.

30 pages, 20 figures

References in corpus (4)

• Fluctuations in Stationary non Equilibrium States
• Large Deviation of the Density Profile in the Steady State of the Open Symmetric Simple Exclusion Process
• Observation of coupled normal heat and matter transport in a simple model system
• Memory Effects in Nonequilibrium Transport for Deterministic Hamiltonian Systems