Equilibrium Density Fluctuations of a One-Dimensional Non-Gradient Reversible Model: The Generalized Exclusion Process
1999, v.5, №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