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.
- Heat baths
- Temperature gradient
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics