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Proceedings Paper

Short-time dynamics of noise-induced escape
Author(s): Slava M. Soskin; Valentin I. Sheka; T. L. Linnik; Riccardo Mannella
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Paper Abstract

We consider by means of the optimal fluctuation method the initial stage of the evolution of the noise-induced escape through various types of boundaries, especially concentrating on two types of the boundary - the wall and the boundary of the basin of attraction. We show in both cases that, if the damping is small enough, then the escape flux evolution possesses a remarkable property: it is it stairs-like i.e. intervals of a nearly constant flux alternate with intervals of a sharply increasing flux. This property is related to the successive increase of the number of turning points in the most probable escape path as time increases. Our results are relevant both for the absorbing and transparent boundaries. The major results of the theory are verified in computer simulations.

Paper Details

Date Published: 23 May 2005
PDF: 15 pages
Proc. SPIE 5845, Noise in Complex Systems and Stochastic Dynamics III, (23 May 2005); doi: 10.1117/12.610310
Show Author Affiliations
Slava M. Soskin, Institute of Semiconductor Physics (Ukraine)
Lancaster Univ. (United Kingdom)
Valentin I. Sheka, Institute of Semiconductor Physics (Ukraine)
T. L. Linnik, Institute of Semiconductor Physics (Ukraine)
Riccardo Mannella, Univ. di Pisa (Italy)

Published in SPIE Proceedings Vol. 5845:
Noise in Complex Systems and Stochastic Dynamics III
Laszlo B. Kish; Katja Lindenberg; Zoltan Gingl, Editor(s)

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