Dissipation and the relaxation to equilibrium
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Evans, Denis; Searles, Debra; Williams, Stephen
Description
Using 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...[Show more]
dc.contributor.author | Evans, Denis | |
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dc.contributor.author | Searles, Debra | |
dc.contributor.author | Williams, Stephen | |
dc.date.accessioned | 2015-12-10T22:39:24Z | |
dc.identifier.issn | 1742-5468 | |
dc.identifier.uri | http://hdl.handle.net/1885/57158 | |
dc.description.abstract | Using 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 towards equilibrium. | |
dc.publisher | Institute of Physics Publishing | |
dc.source | Journal of Statistical Mechanics: Theory and Experiment | |
dc.subject | Keywords: Molecular dynamics; Rigorous results in statistical mechanics | |
dc.title | Dissipation and the relaxation to equilibrium | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 2009/07 | |
dc.date.issued | 2009 | |
local.identifier.absfor | 010506 - Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter | |
local.identifier.absfor | 030704 - Statistical Mechanics in Chemistry | |
local.identifier.absfor | 020304 - Thermodynamics and Statistical Physics | |
local.identifier.ariespublication | u4217927xPUB389 | |
local.type.status | Published Version | |
local.contributor.affiliation | Evans, Denis, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Searles, Debra, Griffith University | |
local.contributor.affiliation | Williams, Stephen, College of Physical and Mathematical Sciences, ANU | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.startpage | P07029/1 | |
local.bibliographicCitation.lastpage | 11 | |
local.identifier.doi | 10.1088/1742-5468/2009/07/P07029 | |
dc.date.updated | 2016-02-24T10:42:58Z | |
local.identifier.scopusID | 2-s2.0-71049129349 | |
local.identifier.thomsonID | 000269353300029 | |
Collections | ANU Research Publications |
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