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Universality of residence-time distributions in non-adiabatic stochastic resonance

Nils Berglund·Barbara Gentz
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Abstract

We present mathematically rigorous expressions for the residence-time and first-passage-time distributions of a periodically forced Brownian particle in a bistable potential. For a broad range of forcing frequencies and amplitudes, the distributions are close to periodically modulated exponential ones. Remarkably, the periodic modulations are governed by universal functions, depending on a single parameter related to the forcing period. The behaviour of the distributions and their moments is analysed, in particular in the low- and high-frequency limits.

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Nils Berglund, Barbara Gentz. 2005-01-05. Universality of residence-time distributions in non-adiabatic stochastic resonance. https://doi.org/10.1209/epl%2Fi2004-10472-2

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