Volume 70, Number 1, April 2005
|Page(s)||1 - 7|
|Published online||09 March 2005|
Universality of first-passage- and residence-time distributions in non-adiabatic stochastic resonance
Centre de Physique Théorique (Unité Mixte de Recherche (UMR 6207) du CNRS et des Universités d'Aix Marseille 1, Aix Marseille 2 et Sud Toulon-Var, affiliée à la FRUMAM.) , CNRS Luminy Case 907, 13288 Marseille Cedex 9, France
2 Weierstrass Institute for Applied Analysis and Stochastics Mohrenstr. 39, 10117 Berlin, Germany
Accepted: 10 February 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.
PACS: 02.50.Ey – Stochastic processes / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EDP Sciences, 2005
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