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arxiv: cond-mat/0408321 · v2 · submitted 2004-08-13 · ❄️ cond-mat.dis-nn · math-ph· math.MP· math.PR

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

classification ❄️ cond-mat.dis-nn math-phmath.MPmath.PR
keywords distributionsforcingperiodicallyresidence-timeamplitudesanalysedbehaviourbistable
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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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