Hamiltonian model of heat conductivity and Fourier law

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...

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Bibliographic Details
Published in:Physica A 2005-06, Vol.351 (2), p.358-372
Main Authors: Gruber, Christian, Lesne, Annick
Format: Article
Language:English
Subjects:
Condensed Matter
Entropy production
Fourier law
Heat conductivity
Nonequilibrium states
Physics
Statistical Mechanics
Thermodynamics of irreversible processes
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Summary: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.
ISSN:0378-4371
1873-2119
0378-4371
DOI:10.1016/j.physa.2004.12.022