Volume 72, Number 3, November 2005
|Page(s)||348 - 354|
|Published online||12 October 2005|
Barrier crossing of a Lévy flight
Institute for Theoretical Physics NSC KIPT - Akademicheskaya st. 1 61108 Kharkov, Ukraine
2 School of Chemistry, Tel Aviv University - 69978 Tel Aviv, Israel
3 NORDITA (Nordic Institute for Theoretical Physics) - Blegdamsvej 17 2100 Copenhagen Ø, Denmark
Accepted: 16 September 2005
We consider the barrier crossing in a bistable potential for a random-walk process that is driven by Lévy noise of stable index α. It is shown that the survival probability decays exponentially, but with a power law dependence of the mean escape time on the noise intensity D. Here C is a constant, and the exponent μ varies slowly over a large range of the stable index . For the Cauchy case, we explicitly calculate the escape rate.
PACS: 05.40.Fb – Random walks and Levy flights / 02.50.Ey – Stochastic processes / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
© EDP Sciences, 2005
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