Scaling limits for gradient systems in random environment

Gonçalves, Patricia; Jara, Milton

Gonçalves, Patricia; Jara, Milton (2008), Scaling limits for gradient systems in random environment, Journal of Statistical Physics, 131, 4, p. 691-716. http://dx.doi.org/10.1007/s10955-008-9509-z

Type

Article accepté pour publication ou publié

External document link

http://hal.archives-ouvertes.fr/hal-00362307/en/

Date

2008

Journal name

Journal of Statistical Physics

Volume

131

Number

Publisher

Springer-Verlag

Pages

691-716

Abstract (EN)

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.

Subjects / Keywords

Physique mathématique; Probabilités