Fourier's law from closure equations.
We sketch 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.
UCL, FYMA, chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium.
Jean
J
Bricmont
Antti
A
Kupiainen