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Homogenization results for a linear dynamics in random Glauber type environment

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.

preprint2013arXivOpen access
Cedric Bernardin
cond-mat.stat-mechmath.PR
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Cedric Bernardin

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