Equilibrium fluctuations for exclusion processes with conductances in random environments

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:120

Article

Farfan, Jonathan^1,2  Simas, Alexandre B.¹  Valentim, Fabio J.^1,3 

[1] IMPA, BR-22460320 Rio De Janeiro, Brazil

[2] IMCA, Lima 12, Peru

[3] Univ Fed Espirito Santo, CEUNES, BR-29932540 Sao Mateus, ES, Brazil

关键词: Exclusion processes;    Homogenization;    Equilibrium fluctuations;    Nuclear spaces;   

DOI  :  10.1016/j.spa.2010.03.018

来源: Elsevier

【 摘 要 】

Fix a function W : R(d) -> R such that W(x(1),...,x(d)) = Sigma(d)(k=1) W(k)(x(k)), where d >= 1, and each function W(k) : R -> R is strictly increasing, right continuous with left limits. We prove the equilibrium fluctuations for exclusion processes with conductances, induced by W, in random environments, when the system starts from an equilibrium measure. The asymptotic behavior of the empirical distribution is governed by the unique solution of a stochastic differential equation taking values in a certain nuclear Frechet space. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free