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Homogenization results for a linear dynamics in random Glauber type environment

Abstract : 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.
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Submitted on : Tuesday, November 26, 2013 - 7:33:40 PM
Last modification on : Tuesday, December 7, 2021 - 4:10:45 PM
Long-term archiving on: : Thursday, February 27, 2014 - 11:01:47 AM

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

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