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Fourier's Law from Closure Equations

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arxiv math-ph/0609002 v1 pith:ZTR5KR4R submitted 2006-09-01 math-ph math.MP

Jean Bricmont , Antti Kupiainen This is my paper · ORCID
classification math-phmath.MP
keywords heattemperatureclosureequationsfourierstationarysystembaths
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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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    hep-th 2019-09 reject novelty 5.0 of 10

    A variational extension of the Keldysh formalism to spatially varying temperature yields a heat equation and a proposed Tolman thermal equivalence principle linking non-equilibrium flat-space fermions to equilibrium c...

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