Escape rates for noisy maps with anomalous prefactors
Limburgs Universitair Centrum - 3590 Diepenbeek, Belgium
Accepted: 9 February 1996
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 , the escape rate is dominated by an exponentially leading Arrhenius-like factor in the weak-noise limit. However, with the exception of Gaussian noise (), 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
© EDP Sciences, 1996