Steady State Thermodynamics for Heat Conduction -- Microscopic Derivation

Abstract

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.

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 4, which is going to appear in PRL, ref. 10 was added and some improvments were made

References in corpus (6)

• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Fluctuation theorem for stochastic dynamics
• Path ensembles averages in systems driven far-from-equilibrium
• Steady State Thermodynamics of Langevin Systems
• The Fluctuation Theorem as a Gibbs Property
• An expression for stationary distribution in nonequilibrium steady state

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