期刊
EUROPHYSICS LETTERS
卷 72, 期 3, 页码 348-354出版社
EDP SCIENCES S A
DOI: 10.1209/epl/i2005-10265-1
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We consider the barrier crossing in a bistable potential for a random-walk process that is driven by Levy noise of stable index alpha. It is shown that the survival probability decays exponentially, but with a power law dependence T(c)(alpha, D) = C(alpha) D(-mu(alpha)) of the mean escape time on the noise intensity D. Here C is a constant, and the exponent mu varies slowly over a large range of the stable index alpha epsilon [1, 2). Forthe Cauchy case, we explicitly calculate the escape rate.
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