Universality of residence-time distributions in non-adiabatic stochastic resonance
arXiv:cond-mat/0408321 · doi:10.1209/epl/i2004-10472-2
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
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