Spatial Pattern Formation in External Noise: Theory and Simulation
Pattern Formation and Solitons
2017-03-16 v1
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
Cite
@article{arxiv.1201.4695,
title = {Spatial Pattern Formation in External Noise: Theory and Simulation},
author = {Svetlana E. Kurushina and Valery V. Maximov and Yuri M. Romanovskii},
journal= {arXiv preprint arXiv:1201.4695},
year = {2017}
}
Comments
22 pages, 10 figures