Abstract
The influence of spatio-temporal external multiplicative fluctuations on a single kink in a bistable distributed system is studied. For this purpose we derive a stochastic dynamic equation for the position of the shifted kink. An analytical estimate for spatio-temporally uncorrelated fluctuations is represented and discussed. We draw the conclusion that multiplicative noise induces a propagation of the most probable kink into the region of larger noise. This effect is demonstrated in numerical simulations.
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Schimansky-Geier, L., Zülicke, C. Kink propagation induced by multiplicative noise. Z. Physik B - Condensed Matter 82, 157–162 (1991). https://doi.org/10.1007/BF01313999
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DOI: https://doi.org/10.1007/BF01313999