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arXiv · 1105.0495

Homogenization results for a linear dynamics in random Glauber type environment

Cedric Bernardin
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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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Cedric Bernardin. 2011-05-03. Homogenization results for a linear dynamics in random Glauber type environment. https://doi.org/10.1214/11-aihp424

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