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

Y. Zolotaryuk·V. N. Ermakov·P. L. 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.

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Y. Zolotaryuk, V. N. Ermakov, P. L. Christiansen. 2004-07-01. Resonant enhancement of the jump rate in a double-well potential. https://doi.org/10.1088/0305-4470/37/23/006

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