Temporal Behavior of the Conditional and Gibbs' Entropies

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dc.creatorMackey, Michael C.
dc.creatorTyran-Kaminska, Marta
dc.date2005-09-26
dc.date.accessioned2026-07-07T09:32:30Z
dc.date.available2026-07-07T09:32:30Z
dc.descriptionWe study the temporal approach to equilibrium of the Gibbs' and conditional entropies for both invertible deterministic dynamics as well as non-invertible stochastic systems in the presence of white noise. The conditional entropy will either remain constant or monotonically increase to its maximum of zero. However, the Gibbs' entropy may have a variety of patterns of approach to its final value ranging from a monotone increase or decrease to an oscillatory approach. We have illustrated all of these behaviors using examples in which both entropy dynamics can be determined analytically.
dc.description15 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0509649
dc.identifierhttp://arxiv.org/abs/cond-mat/0509649
dc.identifierJournal of Statistical Physics 124 (2006) 1443-1470.
dc.identifierdoi:10.1007/s10955-006-9181-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158799
dc.subjectStatistical Mechanics
dc.titleTemporal Behavior of the Conditional and Gibbs' Entropies
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