Large Deviation Principle for One Dimensional Vector Spin Models with Kac Potentials

Paolo Buttà 1 Pierre Picco
1 SYSDYS - Stochastic Dynamical Systems
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We consider the one dimensional planar rotator and classical Heisenberg models with a ferromagnetic Kac potential. Below the Lebowitz­Penrose critical temperature the limit mean field theory exhibits a phase transition with a continuum of equilibrium states, indexed by the magnetization vectors. We prove a large deviation principle for the associated Gibbs measures. Then we study the system in a certain limit.
Type de document :
Rapport
RR-3193, INRIA. 1997
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https://hal.inria.fr/inria-00073496
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Soumis le : mercredi 24 mai 2006 - 13:02:53
Dernière modification le : samedi 27 janvier 2018 - 01:31:31
Document(s) archivé(s) le : dimanche 4 avril 2010 - 21:59:07

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Paolo Buttà, Pierre Picco. Large Deviation Principle for One Dimensional Vector Spin Models with Kac Potentials. RR-3193, INRIA. 1997. 〈inria-00073496〉

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