Dynamic Fluctuations for Kac and Related Models

L. Bertini

2002, v.8, Issue 2, 365-381


This note is an extended version of a talk given at the conference Homogeneisation en mecanique statistique pour des potentiels a longue portee, Universite de Cergy-Pontoise (2001). We recall the definition of dynamical models with Kac potential and review their scaling limits; particular emphasis is dedicated to the fluctuations phenomena which are also analyzed for the (simpler) Ginzburg - Landau models. Some open problems are also discussed.

Keywords: Kac potential,dynamical fluctuation phenomena,Ginzburg - Landau models,interface dynamics


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