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Fourier's Law from Closure Equations

Jean Bricmont·Antti Kupiainen
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Abstract

We give a rigorous derivation of Fourier's law from a system of closure equations for a nonequilibrium stationary state of a Hamiltonian system of coupled oscillators subjected to heat baths on the boundary. The local heat flux is proportional to the temperature gradient with a temperature dependent heat conductivity and the stationary temperature exhibits a nonlinear profile.

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Jean Bricmont, Antti Kupiainen. 2006-09-01. Fourier's Law from Closure Equations. https://doi.org/10.1103/physrevlett.98.214301

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