Poisson-noise-induced escape from a metastable state.
We provide a complete solution of the problems of the probability distribution and the escape rate in Poisson-noise driven systems. It includes both the exponents and the prefactors. The analysis refers to an overdamped particle in a potential well. The results apply for an arbitrary average rate of noise pulses, from slow pulse rates, where the noise acts on the system as strongly non-Gaussian, to high pulse rates, where the noise acts as effectively Gaussian.
Dykman
M I
MI
Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.