## Abstract

Consider a diffusion process on an infinite line terminated by a trap and modulated by a periodic field. When the frequency is equal to zero the mean time to trapping will be finite or infinite, depending on the sign of the field. We ask whether this behavior can be changed by an oscillatory field, and show that it cannot for pure Brownian motion. We suggest that transition can appear when the signal propagation velocity is finite as for the telegrapher's equation. We further suggest that the asymptotic time dependence of the survival probability is proportional to t^{-1/2} just as in the case of ordinary diffusion. The same conclusion is shown to hold for a system whose dynamics is governed by the equation {Mathematical expression}, where L is a constant.

Original language | English |
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Pages (from-to) | 315-322 |

Number of pages | 8 |

Journal | Journal of Statistical Physics |

Volume | 63 |

Issue number | 1-2 |

DOIs | |

State | Published - Apr 1991 |

Externally published | Yes |

## Keywords

- Brownian motion
- stochastic resonance
- trapping processes