An extension of the Kac ring model

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dc.creatorDe Roeck, W.
dc.creatorJacobs, T.
dc.creatorMaes, C.
dc.creatorNetocny, K.
dc.date2003-07-18
dc.date2003-09-17
dc.date.accessioned2026-07-07T02:52:27Z
dc.date.available2026-07-07T02:52:27Z
dc.descriptionWe introduce a unitary dynamics for quantum spins which is an extension of a model introduced by Mark Kac to clarify the phenomenon of relaxation to equilibrium. When the number of spins gets very large, the magnetization satisfies an autonomous equation as function of time with exponentially fast relaxation to the equilibrium magnetization as determined by the microcanonical ensemble. This is proven as a law of large numbers with respect to a class of initial data. The corresponding Gibbs-von Neumann entropy is also computed and its monotonicity in time discussed.
dc.description15 pages, v2 -> v3: minor typographic correction
dc.identifierhttps://arxiv.org/abs/cond-mat/0307460
dc.identifierhttp://arxiv.org/abs/cond-mat/0307460
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21845
dc.subjectStatistical Mechanics
dc.titleAn extension of the Kac ring model
dc.typetext

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