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dc.contributor.authorJepps, Owen
dc.contributor.authorRondoni, Lamberto
dc.date.accessioned2019-03-29T06:14:35Z
dc.date.available2019-03-29T06:14:35Z
dc.date.issued2016
dc.identifier.issn1751-8113en_US
dc.identifier.doi10.1088/1751-8113/49/15/154002en_US
dc.identifier.urihttp://hdl.handle.net/10072/142768
dc.description.abstractWe review the notions of the dissipation function and T-mixing for non-invariant measures, recently introduced for nonequilibrium molecular dynamics models. We provide a dynamical-systems interpretation for the dissipation function and related results, providing new perspectives into results such as the second-law inequality. We then consider the problem of relaxation within this framework—the convergence of time averages along single phase–space trajectories, as opposed to the convergence of ensemble averages. As a first step in this direction, we observe that T-mixing implies convergence to a unique asymptotic ensemble, independent on the initial ensemble. In particular, the initial ensemble can be concentrated arbitrarily closely to any point in phase–space.en_US
dc.description.peerreviewedYesen_US
dc.languageEnglishen_US
dc.publisherInstitute of Physics Publishingen_US
dc.relation.ispartofpagefrom154002-1en_US
dc.relation.ispartofpageto154002-20en_US
dc.relation.ispartofissue15en_US
dc.relation.ispartofjournalJournal of Physics A: Mathematical and Theoreticalen_US
dc.relation.ispartofvolume49en_US
dc.subject.fieldofresearchStatistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matteren_US
dc.subject.fieldofresearchcode010506en_US
dc.subject.keywordsDynamical-systemsen_US
dc.subject.keywordsDissipation functionen_US
dc.subject.keywordsT-mixingen_US
dc.subject.keywordsThermodynamic relaxationen_US
dc.titleA dynamical-systems interpretation of the dissipation function, T-mixing and their relation to thermodynamic relaxationen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.facultyGriffith Sciences, School of Natural Sciencesen_US
gro.hasfulltextNo Full Text
gro.griffith.authorJepps, Owen


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