04-250 Nils Berglund and Barbara Gentz

Universality of residence-time distributions\\ in non-adiabatic stochastic resonance (262K, Postscript) Aug 13, 04

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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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