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arXiv · 1405.0697

Exact equalities and thermodynamic relations for nonequilibrium steady states

Teruhisa S. Komatsu·Naoko Nakagawa·Shin-ichi Sasa·Hal Tasaki
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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.

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Teruhisa S. Komatsu, Naoko Nakagawa, Shin-ichi Sasa, Hal Tasaki. 2014-12-25. Exact equalities and thermodynamic relations for nonequilibrium steady states. https://doi.org/10.1007/s10955-015-1221-1

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