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arXiv · 1101.2877

Weak coupling limits in a stochastic model of heat conduction

Frank Redig·Kiamars Vafayi
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Abstract

We study the Brownian momentum process, a model of heat conduction, weakly coupled to heat baths. In two different settings of weak coupling to the heat baths, we study the non-equilibrium steady state and its proximity to the local equilibrium measure in terms of the strength of coupling. For three and four site systems, we obtain the two-point correlation function and show it is generically not multilinear.

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Frank Redig, Kiamars Vafayi. 2011-01-14. Weak coupling limits in a stochastic model of heat conduction. https://doi.org/10.1063/1.3638042

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