%0 Journal Article
%T Spatial Pattern Formation in External Noise: Theory and Simulation
%A Svetlana E. Kurushina
%A Valery V. Maximov
%A Yuri M. Romanovskii
%J Physics
%D 2012
%I arXiv
%R 10.1103/PhysRevE.86.011124
%X Spatial pattern formation in excitable fluctuating media was researched analytically from the point of view of the order parameters concept. The reaction-diffusion system in external noise is considered as a model of such medium. Stochastic equations for the unstable mode amplitudes (order parameters), dispersion equations for the unstable mode averaged amplitudes, and the Fokker-Planck equation for the order parameters have been obtained. The developed theory makes it possible to analyze different noise-induced effects, including the variation of boundaries of ordering and disordering phase transitions depending on the parameters of external noise
%U http://arxiv.org/abs/1201.4695v1