Asymptotic Equivalence of Fluctuation Fields for Reversible Exclusion Processes with Speed Change

Abstract

We consider stationary, reversible exclusion processes with speed change and prove that for sufficiently small interaction the fluctuation fields constructed from local functions become proportional to the density fluctuation field when averaged over suitably large space-time regions. If the exclusion process is of gradient type, this result implies that the density fluctuation field converges to an infinite dimensional Ornstein-Uhlenbeck process.