Stationary Distribution and Thermodynamic Relation in Nonequilibrium Steady States

Handle URI:
http://hdl.handle.net/10754/599727
Title:
Stationary Distribution and Thermodynamic Relation in Nonequilibrium Steady States
Authors:
Komatsu, Teruhisa S.; Nakagawa, Naoko; Sasa, Shin-ichi; Tasaki, Hal; Ito, Nobuyasu
Abstract:
We describe our recent attempts toward statistical mechanics and thermodynamics for nonequilibrium steady states (NESS) realized, e.g., in a heat conducting system. Our first result is a simple expression of the probability distribution (of microscopic states) of a NESS. Our second result is a natural extension of the thermodynamic Clausius relation and a definition of an accompanying entropy in NESS. This entropy coincides with the normalization constant appearing in the above mentioned microscopic expression of NESS, and has an expression similar to the Shannon entropy (with a further symmetrization). The NESS entropy proposed here is a clearly defined measurable quantity even in a system with a large degrees of freedom. We numerically measure the NESS entropy in hardsphere fluid systems with a heat current, by observing energy exchange between the system and the heat baths when the temperatures of the baths are changed according to specified protocols.
Citation:
Komatsu TS, Nakagawa N, Sasa S, Tasaki H, Ito N (2010) Stationary Distribution and Thermodynamic Relation in Nonequilibrium Steady States. Progress of Theoretical Physics Supplement 184: 329–338. Available: http://dx.doi.org/10.1143/ptps.184.329.
Publisher:
Oxford University Press (OUP)
Journal:
Progress of Theoretical Physics Supplement
KAUST Grant Number:
KUK-I1-005-04
Issue Date:
2010
DOI:
10.1143/ptps.184.329
Type:
Article
ISSN:
0375-9687
Sponsors:
We wish to thank H. Watanabe for helpful advices on numerical simulations ofhardsphere systems. Our simulation code was developed based on the 2D hard-diskcode of T. Ishiwata.15) This work was partially supported by the Global ResearchPartnership of King Abdullah University of Science and Technology (KUK-I1-005-04)(TSK,NI), by grants Nos. 19540392 (NN), 19540394 (SS) and 21015005 (SS) from theMinistry of Education, Science, Sports and Culture of Japan, and also by YukawaInternational Program for Quark-Hadron Sciences (YIPQS).
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Full metadata record

DC FieldValue Language
dc.contributor.authorKomatsu, Teruhisa S.en
dc.contributor.authorNakagawa, Naokoen
dc.contributor.authorSasa, Shin-ichien
dc.contributor.authorTasaki, Halen
dc.contributor.authorIto, Nobuyasuen
dc.date.accessioned2016-02-28T06:08:25Zen
dc.date.available2016-02-28T06:08:25Zen
dc.date.issued2010en
dc.identifier.citationKomatsu TS, Nakagawa N, Sasa S, Tasaki H, Ito N (2010) Stationary Distribution and Thermodynamic Relation in Nonequilibrium Steady States. Progress of Theoretical Physics Supplement 184: 329–338. Available: http://dx.doi.org/10.1143/ptps.184.329.en
dc.identifier.issn0375-9687en
dc.identifier.doi10.1143/ptps.184.329en
dc.identifier.urihttp://hdl.handle.net/10754/599727en
dc.description.abstractWe describe our recent attempts toward statistical mechanics and thermodynamics for nonequilibrium steady states (NESS) realized, e.g., in a heat conducting system. Our first result is a simple expression of the probability distribution (of microscopic states) of a NESS. Our second result is a natural extension of the thermodynamic Clausius relation and a definition of an accompanying entropy in NESS. This entropy coincides with the normalization constant appearing in the above mentioned microscopic expression of NESS, and has an expression similar to the Shannon entropy (with a further symmetrization). The NESS entropy proposed here is a clearly defined measurable quantity even in a system with a large degrees of freedom. We numerically measure the NESS entropy in hardsphere fluid systems with a heat current, by observing energy exchange between the system and the heat baths when the temperatures of the baths are changed according to specified protocols.en
dc.description.sponsorshipWe wish to thank H. Watanabe for helpful advices on numerical simulations ofhardsphere systems. Our simulation code was developed based on the 2D hard-diskcode of T. Ishiwata.15) This work was partially supported by the Global ResearchPartnership of King Abdullah University of Science and Technology (KUK-I1-005-04)(TSK,NI), by grants Nos. 19540392 (NN), 19540394 (SS) and 21015005 (SS) from theMinistry of Education, Science, Sports and Culture of Japan, and also by YukawaInternational Program for Quark-Hadron Sciences (YIPQS).en
dc.publisherOxford University Press (OUP)en
dc.titleStationary Distribution and Thermodynamic Relation in Nonequilibrium Steady Statesen
dc.typeArticleen
dc.identifier.journalProgress of Theoretical Physics Supplementen
dc.contributor.institutionDepartment of Applied Physics, The University of Tokyo, Tokyo 113-8656, Japanen
dc.contributor.institutionCollege of Science, Ibaraki University, Mito 310-8512, Japanen
dc.contributor.institutionDepartment of Pure and Applied Sciences, The University of Tokyo, Tokyo 153-8902, Japanen
dc.contributor.institutionDepartment of Physics, Gakushuin University, Tokyo 171-8588, Japanen
kaust.grant.numberKUK-I1-005-04en
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