Equilibrium fluctuations for exclusion processes with conductances in random environments

AbstractFix a function W:Rd→R such that W(x1,…,xd)=∑k=1dWk(xk), where d≥1, and each function Wk:R→R is strictly increasing, right continuous with left limits. We prove the equilibrium fluctuations for exclusion processes with conductances, induced by W, in random environments, when the system starts from an equilibrium measure. The asymptotic behavior of the empirical distribution is governed by the unique solution of a stochastic differential equation taking values in a certain nuclear Fréchet space