Journal
EUROPHYSICS LETTERS
Volume 70, Issue 1, Pages 1-7Publisher
E D P SCIENCES
DOI: 10.1209/epl/i2004-10472-2
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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.
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