Kink propagation induced by multiplicative noise |
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Authors: | L Schimansky-Geier Ch Zülicke |
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Institution: | (1) Sektion Physik der Humboldt-Universität zu Berlin, Invalidenstrasse 42, Bereich 04, O-1040 Berlin, Germany |
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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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