Duality and exact correlations for a model of heat conduction

Details Duality and exact correlations for a model of heat conduction Duality and exact correlations for a model of heat conduction

2006-12-07

arxiv.org/abs/cond-mat/0612198v1

Physics

Condensed Matter

Statistical Mechanics

19 pages

Scientific paper

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.

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