Universality of first-passage and residence-time distributions in non-adiabatic stochastic resonance
Nils Berglund and Barbara Gentz
Europhys. Letters 70:1-7 (2005)
We present mathematically rigorous expressions for the first-passage-time and residence-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.
2001 PACS numbers: 02.50.Ey, 05.10.Gg, 05.40.-a.
Keywords and phrases: Stochastic resonance, residence-time distribution, noise-induced exit, oscillating barrier, periodic driving, activated escape, metastability, cycling.
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