Wang, W.Cao, D.Duan, J.2010-01-252010-01-252006SIAM Journal on Mathematical Analysis, 2006; 38(5):1508-15270036-14101095-7154http://hdl.handle.net/2440/55775An effective macroscopic model for a stochastic microscopic system is derived. The original microscopic system is modeled by a stochastic partial differential equation defined on a domain perforated with small holes or heterogeneities. The homogenized effective model is still a stochastic partial differential equation but defined on a unified domain without holes. The solutions of the microscopic model is shown to converge to those of the effective macroscopic model in probability distribution, as the size of holes diminishes to zero. Moreover, the long time effectivity of the macroscopic system in the sense of \emph{convergence in probability distribution}, and the effectivity of the macroscopic system in the sense of \emph{convergence in energy} are also proved.enCopyright © 2006. Siam Publications All rights reserved.Mathematics - Analysis of PDEsMathematics - Dynamical SystemsMathematics - Probability60H1586A0534D35Journal article002009391010.1137/0506487662-s2.0-3454787860736677