Scaling limits for gradient systems in random environment

Details Scaling limits for gradient systems in random environment Scaling limits for gradient systems in random environment

2007-02-17

arxiv.org/abs/math/0702513v1

Journal of Statistical Physics 131 (2008), no.4, 691--716

Mathematics

Probability

24 pages

Scientific paper

10.1007/s10955-008-9509-z

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.

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