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We consider an energy conserving linear dynamics that we perturb by a Glauberdynamics with random site dependent intensity. We prove hydrodynamic limits forthis non-reversible system in random media. The diffusion coefficient turns outto depend on the random field only by its statistics. The diffusion coefficientdefined through the Green-Kubo formula is also studied and its convergence tosome homogenized diffusion coefficient is proved.

Homogenization results for a linear dynamics in random Glauber type environment