Dynamic Fluctuations for Kac and Related Models
2002, v.8, №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