Resonant enhancement of the jump rate in a double-well potential

Yaroslav Zolotaryuk, V. N. Ermakov, Peter Leth Christiansen

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    Abstract

    We study the overdamped dynamics of a Brownian particle in the double-well potential under the influence of an external periodic (AC) force with zero mean. We obtain a dependence of the jump rate on the frequency of the external force. The dependence shows a maximum at a certain driving frequency. We explain the phenomenon as a switching between different time scales of the system: interwell relaxation time (the mean residence time) and the intrawell relaxation time. Dependence of the resonant peak on the system parameters, namely the amplitude of the driving force A and the noise strength (temperature) D has been explored. We observe that the effect is well pronounced when A/D > 1 and if A/D ≫ 1 the enhancement of the jump rate can be of the order of magnitude with respect to the Kramers rate.
    Original languageEnglish
    JournalJournal of Physics A: Mathematical and General
    Volume37
    Issue number23
    Pages (from-to)6043-6051
    ISSN0305-4470
    DOIs
    Publication statusPublished - 2004

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