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Entropy production at weak Gibbs measures and a generalized variational principle
| Title: | Entropy production at weak Gibbs measures and a generalized variational principle |
| Authors: | Yuri, Michiko Browse this author |
| Issue Date: | Aug-2009 |
| Publisher: | Cambridge University Press |
| Journal Title: | Ergodic Theory and Dynamical Systems |
| Volume: | 29 |
| Issue: | 4 |
| Start Page: | 1327 |
| End Page: | 1347 |
| Publisher DOI: | 10.1017/S0143385708000667 |
| Abstract: | We shall consider piecewise invertible systems exhibiting intermittency and establish a generalized variational principle adapted to a non-stationary process in the following sense; the supremum is attained by nonsingular (not necessarily invariant) probability measures and if the system exhibits hyperbolicity, then it reduces to the usual variational principle for the pressure. Our method relies on Ruelle's program in the study of nonequilibrium statistical mechanics to analyze dissipative phenomena. We show nonpositivity of entropy production at weak Gibbs measures and clarify when it indeed vanishes. We also discuss a generalized variational principle in the context of σ-finite invariant measures. |
| Rights: | Copyright © 2009 Cambridge University Press |
| Relation: | http://journals.cambridge.org/action/displayJournal?jid=ETS |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/39035 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 由利 美智子
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