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. © 2007 American Institute of Physics.
Duality and exact correlations for a model of heat conduction / Giardina', Cristian; J., Kurchan; F., Redig. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - STAMPA. - 48:3(2007), pp. 033301-1-033301-15. [10.1063/1.2711373]
Duality and exact correlations for a model of heat conduction
GIARDINA', Cristian;
2007
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. © 2007 American Institute of Physics.
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