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:(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.
2007
48
033301-1
033301-15
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:(2007), pp. 033301-1-033301-15. [10.1063/1.2711373]
Giardina', Cristian; J., Kurchan; F., Redig
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/639608
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