Escape rates for noisy maps with anomalous prefactors

P. Reimann; E. Lootens

doi:10.1209/epl/i1996-00406-6

All issues

Volume 34 / No 1 (April I 1996)

Europhys. Lett., 34 1 (1996) 1-6

Abstract

Issue		Europhys. Lett. Volume 34, Number 1, April I 1996


Page(s)		1 - 6
Section		General
DOI		https://doi.org/10.1209/epl/i1996-00406-6
Published online		01 September 2002

Europhys. Lett., 34 (1), pp. 1-6 (1996)

Escape rates for noisy maps with anomalous prefactors

P. Reimann and E. Lootens

Limburgs Universitair Centrum - 3590 Diepenbeek, Belgium

Received: 28 September 1995
Accepted: 9 February 1996

Abstract

The escape rate from a point attractor across an unstable fixed point is studied for a noisy map dynamics in 1 dimension. It is shown that for additive white noise ξ with a distribution proportional to $\exp[-|\xi|^\alpha]\,,\alpha>1$ , the escape rate is dominated by an exponentially leading Arrhenius-like factor in the weak-noise limit. However, with the exception of Gaussian noise ( $\alpha=2$ ), the pre-exponential contribution to the rate still depends more strongly than any power law on the noise strength.

PACS: 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 02.50.-r – Probability theory, stochastic processes, and statistics

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