Steady State Thermodynamics for Heat Conduction -- Microscopic Derivation
Statistical Mechanics
2009-11-13 v4
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.
Cite
@article{arxiv.0711.0246,
title = {Steady State Thermodynamics for Heat Conduction -- Microscopic Derivation},
author = {Teruhisa S. Komatsu and Naoko Nakagawa and Shin-ichi Sasa and Hal Tasaki},
journal= {arXiv preprint arXiv:0711.0246},
year = {2009}
}
Comments
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