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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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00589674
Contributor : Cedric Bernardin <>
Submitted on : Friday, April 29, 2011 - 10:36:43 PM
Last modification on : Thursday, January 11, 2018 - 6:12:31 AM
Long-term archiving on : Saturday, July 30, 2011 - 2:52:09 AM

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  • HAL Id : ensl-00589674, version 1
  • ARXIV : 1105.0495

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

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