TY - JOUR
T1 - Barrier crossing of a Lévy flight
AU - Chechkin, A. V.
AU - Gonchar, V. Yu
AU - Klafter, J.
AU - Metzler, R.
PY - 2005/11/1
Y1 - 2005/11/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=27744514703&partnerID=8YFLogxK
U2 - 10.1209/epl/i2005-10265-1
DO - 10.1209/epl/i2005-10265-1
M3 - מאמר
AN - SCOPUS:27744514703
VL - 72
SP - 348
EP - 354
JO - Journal de Physique (Paris), Lettres
JF - Journal de Physique (Paris), Lettres
SN - 0295-5075
IS - 3
ER -