Hamiltonian model of heat conductivity and Fourier law

Christian Gruber; Annick Lesne

doi:10.1016/j.physa.2004.12.022

paper

Hamiltonian model of heat conductivity and Fourier law

arXiv:cond-mat/0410413 · doi:10.1016/j.physa.2004.12.022

Abstract

We investigate the stationary nonequilibrium states of a quasi one-dimensional system of heavy particles whose interaction is mediated by purely elastic collisions with light particles, in contact at the boundary with two heat baths with fixed temperatures $T^{+}$ and $T^{-}$ . It is shown that Fourier law is satisfied with a thermal conductivity proportional to $T (x)$ where $T (x)$ is the local temperature. Entropy flux and entropy production are also investigated.

12 pages, 4 figures