On the entropy of relaxing deterministic systems

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dc.contributor.authorEvans, Denis J.
dc.contributor.authorWilliams, Stephen R.
dc.contributor.authorSearles, Debra J.
dc.date.accessioned2015-10-29T23:10:35Z
dc.date.available2015-10-29T23:10:35Z
dc.date.issued2011-11-18
dc.date.updated2016-02-24T10:24:42Z
dc.description.abstractIn this paper, we re-visit Gibbs' second (unresolved) paradox, namely the constancy of the fine-grained Gibbs entropy for autonomous Hamiltonian systems. We compare and contrast the different roles played by dissipation and entropy both at equilibrium where dissipation is identically zero and away from equilibrium where entropy cannot be defined and seems unnecessary in any case. Away from equilibrium dissipation is a powerful quantity that can always be defined and that appears as the central argument of numerous exact theorems: the fluctuation, relaxation, and dissipation theorems and the newly derived Clausius inequality.
dc.description.sponsorshipThe authors would like to thank the Australian Research Council for partial support of this work.en_AU
dc.identifier.issn0021-9606en_AU
dc.identifier.urihttp://hdl.handle.net/1885/16170
dc.publisherAmerican Institute of Physics (AIP)
dc.rightshttp://www.sherpa.ac.uk/romeo/issn/0021-9606..."Publishers version/PDF may be used on author's personal website, institutional website or institutional repository" from SHERPA/RoMEO site (as at 30/10/15). Copyright 2011 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in The Journal of Chemical Physics and may be found at https://doi.org/10.1063/1.3660203
dc.sourceThe Journal of Chemical Physics
dc.subjectKeywords: Deterministic systems; Gibbs entropy; Hamiltonian systems; Entropy; Hamiltonians
dc.titleOn the entropy of relaxing deterministic systems
dc.typeJournal article
local.bibliographicCitation.issue19en_AU
local.bibliographicCitation.lastpage6
local.bibliographicCitation.startpage194107en_AU
local.contributor.affiliationEvans, Denis, College of Physical and Mathematical Sciences, CPMS Research School of Chemistry, RSC General, The Australian National Universityen_AU
local.contributor.affiliationWilliams, Stephen, College of Physical and Mathematical Sciences, CPMS Research School of Chemistry, RSC General, The Australian National Universityen_AU
local.contributor.affiliationSearles, Debra, Griffith University, Australiaen_AU
local.contributor.authoruidu7701170en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor030704en_AU
local.identifier.absseo970103en_AU
local.identifier.absseo970102en_AU
local.identifier.absseo970101en_AU
local.identifier.ariespublicationu4005981xPUB549en_AU
local.identifier.citationvolume135en_AU
local.identifier.doi10.1063/1.3660203en_AU
local.identifier.essn1089-7690en_AU
local.identifier.scopusID2-s2.0-81855180853
local.identifier.thomsonID000297473300009
local.publisher.urlhttps://www.aip.org/en_AU
local.type.statusPublished Versionen_AU

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