Poisson-noise induced escape from a metastable state

Abstract

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.

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• Singular probability distribution of shot-noise driven systems
• Numerical simulations versus theoretical predictions for a non-Gaussian noise induced escape problem in application to full counting statistics
• Large and small fluctuations in oscillator networks from heterogeneous and correlated noise
• Stochastic switching in slow-fast systems: a large fluctuation approach
• Asymmetric noise-induced large fluctuations in coupled systems