phase transitions

STOCHASTIC EQUATIONS AND FOKKER–PLANCK EQUATION FOR THE ORDER PARAMETERS IN THE STUDY OF THE NOISE-INDUCED SPATIAL PATTERNS DYNAMICS

From the viewpoint of the order parameters concept spatial pattern formation in excitable fluctuating medium was researched analytically. The reaction–diffusion system in external noise was considered as a model of such medium. Stochastic equations for the unstable modes amplitudes (order parameters) and the dispersion equations for the average unstable modes amplitudes were received. Fokker–Planck equation for the order parameters was received.