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 (1)

• An expression for stationary distribution in nonequilibrium steady state

Cited by in corpus (3)

• Representation of nonequilibrium steady states in large mechanical systems
• Macroscopic Expression Connecting the Rate of Energy Dissipation and Violation of the Fluctuation-Response Relation
• The Steady State Distribution of the Master Equation