Hamiltonian model of heat conductivity and Fourier law

Christian Gruber and Annick Lesne

Physica A: Statistical Mechanics and its Applications, 2005, vol. 351, issue 2, 358-372

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.

Keywords: Fourier law; Heat conductivity; Nonequilibrium states; Thermodynamics of irreversible processes; Entropy production (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:351:y:2005:i:2:p:358-372

DOI: 10.1016/j.physa.2004.12.022

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