| Issue |
Europhys. Lett.
Volume 72, Number 3, November 2005
|
|
|---|---|---|
| Page(s) | 348 - 354 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2005-10265-1 | |
| Published online | 12 October 2005 | |
Barrier crossing of a Lévy flight
1
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
Corresponding authors: achechkin@kipt.kharkov.ua klafter@post.tau.ac.il metz@nordita.dk
Received:
17
May
2005
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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