Non-equilibrium fluctuations for a zero range process (Q1107908)

We study the non-equilibrium density fluctuation field of a one- dimensional symmetric nearest neighbors zero range process, proving that it converges in law to a generalized Ornstein-Uhlenbeck process. Since the hydrodynamical equation is nonlinear, to accomplish our main theorem we need to prove, for our model, a non-equilibrium version of the Gibbs- Boltzmann principle (first introduced by Brox and Rost to study the equilibrium fluctuations for a large class of zero range models). Our result is then obtained by applying Holley and Stroock's theory.