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Journal of Statistical Physics 131, 4 (2008) 691-716
Scaling limits for gradient systems in random environment
P. Goncalves 1, M. D. Jara 2
(2008)

For interacting particle systems that satisfies the gradient condition, the hydrodynamic limit and the equilibrium fluctuations are well known. We prove that under the presence of a symmetric random environment, these scaling limits also hold for almost every choice of the environment, with homogenized coefficients that does not depend on the particular realization of the random environment.
1:  UMI CNRS-IMPA (UCI)
Institut National de Mathématiques Pures – CNRS : UMI2924
2:  CEntre de REcherches en MAthématiques de la DEcision (CEREMADE)
CNRS : UMR7534 – Université Paris IX - Paris Dauphine
Mathematics/Probability

Mathematics/Mathematical Physics

Physics/Mathematical Physics
Fulltext link: 
http://fr.arXiv.org/abs/math/0702513v1