Duality and exact correlations for a model of heat conduction
arXiv:cond-mat/0612198 · doi:10.1063/1.2711373
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.
19 pages