Weak coupling limits in a stochastic model of heat conduction
Statistical Mechanics
2015-05-27 v1 Mathematical Physics
math.MP
Probability
Abstract
We study the Brownian momentum process, a model of heat conduction, weakly coupled to heat baths. In two different settings of weak coupling to the heat baths, we study the non-equilibrium steady state and its proximity to the local equilibrium measure in terms of the strength of coupling. For three and four site systems, we obtain the two-point correlation function and show it is generically not multilinear.
Keywords
Cite
@article{arxiv.1101.2877,
title = {Weak coupling limits in a stochastic model of heat conduction},
author = {Frank Redig and Kiamars Vafayi},
journal= {arXiv preprint arXiv:1101.2877},
year = {2015}
}
Comments
18 pages