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Maximum entropy production and the fluctuation theorem

Dewar, Roderick

Description

Recently the author used an information theoretical formulation of non-equilibrium statistical mechanics (MaxEnt) to derive the fluctuation theorem (FT) concerning the probability of second law violating phase-space paths. A less rigorous argument leading to the variational principle of maximum entropy production (MEP) was also given. Here a more rigorous and general mathematical derivation of MEP from MaxEnt is presented, and the relationship between MEP and the FT is thereby clarified....[Show more]

dc.contributor.authorDewar, Roderick
dc.date.accessioned2015-12-07T22:43:19Z
dc.date.available2015-12-07T22:43:19Z
dc.identifier.issn0305-4470
dc.identifier.urihttp://hdl.handle.net/1885/24961
dc.description.abstractRecently the author used an information theoretical formulation of non-equilibrium statistical mechanics (MaxEnt) to derive the fluctuation theorem (FT) concerning the probability of second law violating phase-space paths. A less rigorous argument leading to the variational principle of maximum entropy production (MEP) was also given. Here a more rigorous and general mathematical derivation of MEP from MaxEnt is presented, and the relationship between MEP and the FT is thereby clarified. Specifically, it is shown that the FT allows a general orthogonality property of maximum information entropy to be extended to entropy production itself, from which MEP then follows. The new derivation highlights MEP and the FT as generic properties of MaxEnt probability distributions involving anti-symmetric constraints, independently of any physical interpretation. Physically, MEP applies to the entropy production of those macroscopic fluxes that are free to vary under the imposed constraints, and corresponds to selection of the most probable macroscopic flux configuration. In special cases MaxEnt also leads to various upper bound transport principles. The relationship between MaxEnt and previous theories of irreversible processes due to Onsager, Prigogine and Ziegler is also clarified in the light of these results.
dc.publisherInstitute of Physics Publishing
dc.sourceJournal of Physics A: Mathematical and General
dc.titleMaximum entropy production and the fluctuation theorem
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume38
dc.date.issued2005
local.identifier.absfor010500 - MATHEMATICAL PHYSICS
local.identifier.ariespublicationu4692404xPUB35
local.type.statusPublished Version
local.contributor.affiliationDewar, Roderick, College of Medicine, Biology and Environment, ANU
local.bibliographicCitation.issue21
local.bibliographicCitation.startpageL371
local.bibliographicCitation.lastpageL381
local.identifier.doi10.1088/0305-4470/38/21/L01
dc.date.updated2015-12-07T11:17:21Z
local.identifier.scopusID2-s2.0-18744364770
CollectionsANU Research Publications

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