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dc.contributor.authorEvans, Denis J.
dc.contributor.authorBernhardt, Debra
dc.contributor.authorWilliams, Stephen R.
dc.date.accessioned2017-05-03T12:18:47Z
dc.date.available2017-05-03T12:18:47Z
dc.date.issued2009
dc.date.modified2009-10-07T06:26:16Z
dc.identifier.issn17425468
dc.identifier.doi10.1088/1742-5468/2009/07/P07029
dc.identifier.urihttp://hdl.handle.net/10072/25983
dc.description.abstractUsing the recently derived dissipation theorem and a corollary of the transient fluctuation theorem (TFT), namely the second-law inequality, we derive the unique time independent, equilibrium phase space distribution function for an ergodic Hamiltonian system in contact with a remote heat bath. We prove under very general conditions that any deviation from this equilibrium distribution breaks the time independence of the distribution. Provided temporal correlations decay, we show that any nonequilibrium distribution that is an even function of the momenta eventually relaxes (not necessarily monotonically) to the equilibrium distribution. Finally we prove that the negative logarithm of the microscopic partition function is equal to the thermodynamic Helmholtz free energy divided by the thermodynamic temperature and Boltzmann's constant. Our results complement and extend the findings of modern ergodic theory and show the importance of dissipation in the process of relaxation toward equilibrium.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent1643456 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherInstitute of Physics
dc.publisher.placeUnited States
dc.publisher.urihttp://jcp.aip.org/
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefromP07029.1
dc.relation.ispartofpagetoP07029.11
dc.relation.ispartofjournalJournal of Statistical Mechanics: Theory and Experiment
dc.relation.ispartofvolume07
dc.rights.retentionY
dc.subject.fieldofresearchMathematical physics
dc.subject.fieldofresearchClassical physics
dc.subject.fieldofresearchThermodynamics and statistical physics
dc.subject.fieldofresearchcode4902
dc.subject.fieldofresearchcode5103
dc.subject.fieldofresearchcode510304
dc.titleDissipation and the relaxation to equilibrium
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2008 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. along with the following message: The following article appeared in J. Chem. Phys. 128, 014504 (2008) and may be found at http://dx.doi.org/10.1063/1.2812241
gro.date.issued2009
gro.hasfulltextFull Text
gro.griffith.authorBernhardt, Debra J.


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