Equilibrium fluctuations for exclusion processes with conductances in random environments

Fix a function W : R d → R such that W ( x 1 , … , x d ) = ∑ k = 1 d W k ( x k ) , where d ≥ 1 , and each function W k : 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.