Complete Analysis of Phase Transitions and Ensemble Equivalence for the Curie-Weiss-Potts Model

Simple item page
dc.creatorCosteniuc, Marius
dc.creatorEllis, Richard S.
dc.creatorTouchette, Hugo
dc.date2004-10-28
dc.date.accessioned2026-07-07T03:01:46Z
dc.date.available2026-07-07T03:01:46Z
dc.descriptionUsing the theory of large deviations, we analyze the phase transition structure of the Curie-Weiss-Potts spin model, which is a mean-field approximation to the Potts model. This analysis is carried out both for the canonical ensemble and the microcanonical ensemble. Besides giving explicit formulas for the microcanonical entropy and for the equilibrium macrostates with respect to the two ensembles, we analyze ensemble equivalence and nonequivalence at the level of equilibrium macrostates, relating these to concavity and support properties of the microcanonical entropy. The Curie-Weiss-Potts model is the first statistical mechanical model for which such a detailed and rigorous analysis has been carried out.
dc.description25 pages, 4 eps figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0410744
dc.identifierhttp://arxiv.org/abs/cond-mat/0410744
dc.identifierJ. Math. Phys. 46, 063301, 2005.
dc.identifierdoi:10.1063/1.1904507
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25169
dc.subjectStatistical Mechanics
dc.titleComplete Analysis of Phase Transitions and Ensemble Equivalence for the Curie-Weiss-Potts Model
dc.typetext

Files

Collections

arXiv