Homogenization results for a linear dynamics in random Glauber type environment

Cedric Bernardin (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

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.

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

Domains: Physics [physics]; Condensed Matter [cond-mat]; Statistical Mechanics [cond-mat.stat-mech]; Mathematics [math]; Probability [math.PR]

Cedric Bernardin. Homogenization results for a linear dynamics in random Glauber type environment. 2011. ⟨ensl-00589674v1⟩