title: Spatial pattern formation in external noise: theory and simulation.
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.
authors.affiliation: Physics Department, Samara State Aerospace University, Moskovskoye Shosse 34, Samara 443086, Russian Federation. kurushina72@gmail.com
authors.forename: S E
authors.initials: SE
authors.lastname: Kurushina
authors.forename: V V
authors.initials: VV
authors.lastname: Maximov
authors.forename: Yu M
authors.initials: YM
authors.lastname: Romanovskii
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D015233:Models, Statistical; D010363:Pattern Recognition, Automated / Q000379:methods*; D059629:Signal-To-Noise Ratio