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arXiv · 1201.4695

Spatial Pattern Formation in External Noise: Theory and Simulation

Svetlana E. Kurushina·Valery V. Maximov·Yuri M. Romanovskii
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Abstract

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

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Svetlana E. Kurushina, Valery V. Maximov, Yuri M. Romanovskii. 2012-01-23. Spatial Pattern Formation in External Noise: Theory and Simulation. https://doi.org/10.1103/physreve.86.011124

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