Homogenization results for a linear dynamics in random Glauber type environment

Cédric Bernardin

Annales de l'I.H.P. Probabilités et statistiques (2012)

  • Volume: 48, Issue: 3, page 792-818
  • ISSN: 0246-0203

Abstract

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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.

How to cite

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Bernardin, Cédric. "Homogenization results for a linear dynamics in random Glauber type environment." Annales de l'I.H.P. Probabilités et statistiques 48.3 (2012): 792-818. <http://eudml.org/doc/271998>.

@article{Bernardin2012,
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.},
author = {Bernardin, Cédric},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {hydrodynamic limits; random media; Green–Kubo formula; homogenization; Green-Kubo formula},
language = {eng},
number = {3},
pages = {792-818},
publisher = {Gauthier-Villars},
title = {Homogenization results for a linear dynamics in random Glauber type environment},
url = {http://eudml.org/doc/271998},
volume = {48},
year = {2012},
}

TY - JOUR
AU - Bernardin, Cédric
TI - Homogenization results for a linear dynamics in random Glauber type environment
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2012
PB - Gauthier-Villars
VL - 48
IS - 3
SP - 792
EP - 818
AB - 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.
LA - eng
KW - hydrodynamic limits; random media; Green–Kubo formula; homogenization; Green-Kubo formula
UR - http://eudml.org/doc/271998
ER -

References

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