Equilibrium Density Fluctuations of a One-Dimensional Non-Gradient Reversible Model: The Generalized Exclusion Process

S. Sellami

1999, v.5, Issue 1, 21-51


We study the equilibrium density fluctuation fields of a one-dimensional reversible model. We prove, for the generalized exclusion process, the Boltzmann - Gibbs principle. This principle, first introduced by Brox and Rost, is the basic stage which enables us to show afterwards that our process converges in distribution to a generalized Ornstein - Uhlenbeck process, by applying Holley and Stroock's theory.

Keywords: fluctuations,Boltzmann - Gibbs principle,exclusion process,hydrodynamiclimits


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