Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 159, Issue 6, Pages 1237-1285Publisher
SPRINGER
DOI: 10.1007/s10955-015-1221-1
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Funding
- KAKENHI [22340109, 23540435, 25103002]
- JSPS Core-to-Core program Non-equilibrium dynamics of soft-matter and information
- JSPS
- NSERC
- ANR
- DFG
- RFBR
- RCUK
- NSF as Partner Organizations under the G8 Research Councils Initiative
- Grants-in-Aid for Scientific Research [25103002, 26610115, 23540435] Funding Source: KAKEN
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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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