WIAS Preprint No. 957, (2004)

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.

Appeared in

  • Europhys. Lett. 70 (1), pp. 1-7, (2005) under new title: Universality of first-passage- and residence-time distributions in non-adiabatic stochastic resonance

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