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Journal Articles Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques Year : 2012

Homogenization results for a linear dynamics in random Glauber type environment

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Cedric Bernardin

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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Dates and versions

ensl-00589674 , version 1 (29-04-2011)
ensl-00589674 , version 2 (26-11-2013)

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Attribution - NonCommercial - ShareAlike - CC BY 4.0

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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, 2012, 48 (3), pp.792-818. ⟨10.1214/11-AIHP424⟩. ⟨ensl-00589674v2⟩
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