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

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.

8 pages, 1 figure New version includes distinction between first-passage-time and residence-time distributions

References in corpus (1)

• On the noise-induced passage through an unstable periodic orbit I: Two-level model

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