Exact equalities and thermodynamic relations for nonequilibrium steady states
Abstract
We study thermodynamic operations which bring a nonequilibrium steady state (NESS) to another NESS in physical systems under nonequilibrium conditions. We model the system by a suitable Markov jump process, and treat thermodynamic operations as protocols according to which the external agent varies parameters of the Markov process. Then we prove, among other relations, a NESS version of the Jarzynski equality and the extended Clausius relation. The latter can be a starting point of thermodynamics for NESS. We also find that the corresponding nonequilibrium entropy has a microscopic representation in terms of symmetrized Shannon entropy in systems where the microscopic description of states involves "momenta". All the results in the present paper are mathematically rigorous.
Keywords
Cite
@article{arxiv.1405.0697,
title = {Exact equalities and thermodynamic relations for nonequilibrium steady states},
author = {Teruhisa S. Komatsu and Naoko Nakagawa and Shin-ichi Sasa and Hal Tasaki},
journal= {arXiv preprint arXiv:1405.0697},
year = {2018}
}
Comments
58 pages, 8 figures; many small improvements have been made in version 2