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A. V. Chechkin1, V. Yu. Gonchar1, J. Klafter2 and R. Metzler3
Published 12 October 2005 •
2005 EDP Sciences
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Citation A. V. Chechkin et al 2005 EPL 72 348
DOI 10.1209/epl/i2005-10265-1
455 Total downloads
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 Tc(α,D) = C(α)D−μ(α) 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 α∊[1,2). For the Cauchy case, we explicitly calculate the escape rate.