Universality of residence-time distributions in non-adiabatic stochastic resonance
- Berglund, Nils
- Gentz, Barbara
2008 Physics and Astronomy Classification Scheme
- 02.50.Ey 05.10.Gg 05.40.-a
- Stochastic resonance, residence-time distribution, noise-induced exit, oscillating barrier, periodic driving, activated escape, metastability, cycling.
We present a mathematically rigorous expression for the residence-time distribution of a periodically forced Brownian particle in a bistable potential. For a broad range of forcing frequencies and amplitudes, the distribution is close to a periodically modulated exponential one. Remarkably, the periodic modulation is governed by a universal function, depending on a single parameter related to the forcing period. The behaviour of the distribution and its moments is analysed, in particular in the low- and high-frequency limits.
- Europhys. Lett. 70 (1), pp. 1-7, (2005) under new title: Universality of first-passage- and residence-time distributions in non-adiabatic stochastic resonance