Large Deviation Principles and Complete Equivalence and Nonequivalence Results for Pure and Mixed Ensembles

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dc.creatorEllis, R. S.
dc.creatorHaven, K.
dc.creatorTurkington, B.
dc.date2000-12-11
dc.date.accessioned2026-07-07T04:39:09Z
dc.date.available2026-07-07T04:39:09Z
dc.descriptionWe consider a general class of statistical mechanical models of coherent structures in turbulence, which includes models of two-dimensional fluid motion, quasi-geostrophic flows, and dispersive waves. First, large deviation principles are proved for the canonical ensemble and the microcanonical ensemble. For each ensemble the set of equilibrium macrostates is defined as the set on which the corresponding rate function attains its minimum of 0. We then present complete equivalence and nonequivalence results at the level of equilibrium macrostates for the two ensembles.
dc.description57 pages
dc.identifierhttps://arxiv.org/abs/math/0012081
dc.identifierhttp://arxiv.org/abs/math/0012081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60547
dc.subjectProbability
dc.subjectMathematical Physics
dc.subjectOptimization and Control
dc.subject60F10;82B10
dc.titleLarge Deviation Principles and Complete Equivalence and Nonequivalence Results for Pure and Mixed Ensembles
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