Homogenization results for a linear dynamics in random Glauber type environment

Cedric Bernardin (1)

1 LJAD - Laboratoire Jean Alexandre Dieudonné

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

Mots clés: Hydrodynamic limits; homogenization.; Green-Kubo formula; random media; homogenization

Domaines: Mécanique statistique [cond-mat.stat-mech]; Probabilités [math.PR]

Cedric Bernardin. Homogenization results for a linear dynamics in random Glauber type environment. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2012, 48 (3), pp.792-818. ⟨10.1214/11-AIHP424⟩. ⟨ensl-00589674v2⟩