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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.
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https://hal.inria.fr/inria-00073496
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 1:02:53 PM
Last modification on : Monday, February 10, 2020 - 2:54:03 PM
Long-term archiving on: : Sunday, April 4, 2010 - 9:59:07 PM

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  • HAL Id : inria-00073496, version 1

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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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