Local equilibrium in inhomogeneous stochastic models of heat transport

We extend the duality of Kipnis Marchioro and Presutti to inhomogeneous lattice gas systems where either the components have different degrees of freedom or the rate of interaction depends on the spatial location. Then the dual process is applied to prove local equilibrium in the hydrodynamic limit for some inhomogeneous high dimensional systems andin the nonequilibrium steady state for one dimensional systems with arbitrary inhomogeneity.