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Spatial pattern formation in external noise: theory and simulation
S E Kurushina1, V V Maximov, Yu M Romanovskii
1Physics Department, Samara State Aerospace University, Moskovskoye Shosse 34, Samara 443086, Russian Federation. kurushina72@gmail.com
Abstract:
Spatial pattern formation in fluctuating media is researched analytically from the point of view of the order parameters concept. A reaction-diffusion system with external noise is considered as a model of such media. Stochastic equations for unstable mode amplitudes (order parameters), the dispersion equation for averaged amplitudes of unstable modes, and the Fokker-Planck equation for the order parameters are obtained. The theory developed 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.
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