Fourier's Law from Closure Equations
Mathematical Physics
2009-11-11 v1 math.MP
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.
Cite
@article{arxiv.math-ph/0609002,
title = {Fourier's Law from Closure Equations},
author = {Jean Bricmont and Antti Kupiainen},
journal= {arXiv preprint arXiv:math-ph/0609002},
year = {2009}
}