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23 May 2005 Synchronization of noise-induced escape: how it starts and ends (Keynote Address)
Mark I. Dykman, Dmitrii Ryvkine
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Proceedings Volume 5845, Noise in Complex Systems and Stochastic Dynamics III; (2005) https://doi.org/10.1117/12.609555
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States
Abstract
We provide a complete solution of the problem of noise-induced escape in periodically driven systems. We show that both the exponent and the prefactor in the escape rate display scaling behavior with the field intensity. The corresponding scaling is related to synchronization of escape events by the modulating field. The onset of the synchronization with the increasing field and its loss as the field approaches a bifurcational value lead to a strongly nonmonotonic field dependence of the prefactor.
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Mark I. Dykman and Dmitrii Ryvkine "Synchronization of noise-induced escape: how it starts and ends (Keynote Address)", Proc. SPIE 5845, Noise in Complex Systems and Stochastic Dynamics III, (23 May 2005); https://doi.org/10.1117/12.609555
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KEYWORDS
Modulation
Particles
Diffusion
Monte Carlo methods
Solids
Systems modeling
Control systems
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