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dc.contributor.authorKomatsu, Teruhisa S.
dc.contributor.authorNakagawa, Naoko
dc.contributor.authorSasa, Shin-ichi
dc.contributor.authorTasaki, Hal
dc.contributor.authorIto, Nobuyasu
dc.date.accessioned2016-02-28T06:08:25Z
dc.date.available2016-02-28T06:08:25Z
dc.date.issued2010
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.
dc.identifier.issn0375-9687
dc.identifier.doi10.1143/ptps.184.329
dc.identifier.urihttp://hdl.handle.net/10754/599727
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.
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).
dc.publisherOxford University Press (OUP)
dc.titleStationary Distribution and Thermodynamic Relation in Nonequilibrium Steady States
dc.typeArticle
dc.identifier.journalProgress of Theoretical Physics Supplement
dc.contributor.institutionDepartment of Applied Physics, The University of Tokyo, Tokyo 113-8656, Japan
dc.contributor.institutionCollege of Science, Ibaraki University, Mito 310-8512, Japan
dc.contributor.institutionDepartment of Pure and Applied Sciences, The University of Tokyo, Tokyo 153-8902, Japan
dc.contributor.institutionDepartment of Physics, Gakushuin University, Tokyo 171-8588, Japan
kaust.grant.numberKUK-I1-005-04


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