Hamiltonian model of heat conductivity and Fourier law

Details Hamiltonian model of heat conductivity and Fourier law Hamiltonian model of heat conductivity and Fourier law

2004-10-16

arxiv.org/abs/cond-mat/0410413v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 4 figures

Scientific paper

10.1016/j.physa.2004.12.022

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 $\sqrt{T(x)}$ where $T(x)$ is the local temperature. Entropy flux and entropy production are also investigated.

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