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

Abstract : We present a mathematically rigorous expression for the residence-time distribution of a periodically forced Brownian particle in a bistable potential. For a broad range of forcing frequencies and amplitudes, the distribution is close to a periodically modulated exponential one. Remarkably, the periodic modulation is governed by a universal function, depending on a single parameter related to the forcing period. The behaviour of the distribution and its moments is analysed, in particular in the low- and high-frequency limits.
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https://hal.archives-ouvertes.fr/hal-00003008
Contributor : Nils Berglund <>
Submitted on : Wednesday, October 6, 2004 - 3:22:20 PM
Last modification on : Sunday, October 11, 2020 - 3:08:41 AM

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Nils Berglund, Barbara Gentz. Universality of residence-time distributions in non-adiabatic stochastic resonance. Europhys. Letters, 2005, 70, pp.1-7. ⟨10.1209/epl/i2004-10472-2⟩. ⟨hal-00003008⟩

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