Steady State Thermodynamics for Heat Conduction -- Microscopic Derivation

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, version 1 contains a flaw, which has been fixed in version 2. version 3 is much easier to read. In the final version

Scientific paper

10.1103/PhysRevLett.100.230602

Starting from microscopic mechanics, we derive thermodynamic relations for heat conducting nonequilibrium steady states. The extended Clausius relation enables one to experimentally determine nonequilibrium entropy to the second order in the heat current. The associated Shannon-like microscopic expression of the entropy is suggestive. When the heat current is fixed, the extended Gibbs relation provides a unified treatment of thermodynamic forces in linear nonequilibrium regime.

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