Duality and exact correlations for a model of heat conduction
Statistical Mechanics
2015-06-25 v1 Mathematical Physics
math.MP
Probability
Abstract
We study a model of heat conduction with stochastic diffusion of energy. We obtain a dual particle process which describes the evolution of all the correlation functions. An exact expression for the covariance of the energy exhibits long-range correlations in the presence of a current. We discuss the formal connection of this model with the simple symmetric exclusion process.
Keywords
Cite
@article{arxiv.cond-mat/0612198,
title = {Duality and exact correlations for a model of heat conduction},
author = {C. Giardiná and J. Kurchan and F. Redig},
journal= {arXiv preprint arXiv:cond-mat/0612198},
year = {2015}
}
Comments
19 pages