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- W3106986950 abstract "The escape from a potential well is an archetypal problem in the study of stochastic dynamical systems, representing real-world situations from chemical reactions to leaving an established home range in movement ecology. Concurrently, Lévy noise is a well-established approach to model systems characterized by statistical outliers and diverging higher order moments, ranging from gene expression control to the movement patterns of animals and humans. Here, we study the problem of Lévy noise-driven escape from an almost rectangular, arctangent potential well restricted by two absorbing boundaries, mostly under the action of the Cauchy noise. We unveil analogies of the observed transient dynamics to the general properties of stationary states of Lévy processes in single-well potentials. The first-escape dynamics is shown to exhibit exponential tails. We examine the dependence of the escape on the shape parameters, steepness, and height of the arctangent potential. Finally, we explore in detail the behavior of the probability densities of the first-escape time and the last-hitting point." @default.
- W3106986950 created "2020-12-07" @default.
- W3106986950 creator A5015137571 @default.
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- W3106986950 creator A5079744597 @default.
- W3106986950 creator A5084513792 @default.
- W3106986950 creator A5091805538 @default.
- W3106986950 date "2020-12-01" @default.
- W3106986950 modified "2023-10-16" @default.
- W3106986950 title "Lévy noise-driven escape from arctangent potential wells" @default.
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