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Duality and exact correlations for a model of heat conduction

C. Giardiná·J. Kurchan·F. Redig
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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.

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C. Giardiná, J. Kurchan, F. Redig. 2006-12-07. Duality and exact correlations for a model of heat conduction. https://doi.org/10.1063/1.2711373

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