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Activated escape of periodically modulated systems

M. I. Dykman·D. Ryvkine
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Abstract

The rate of noise-induced escape from a metastable state of a periodically modulated overdamped system is found for an arbitrary modulation amplitude $A$. The instantaneous escape rate displays peaks that vary with the modulation from Gaussian to strongly asymmetric. The prefactor $ν$ in the period-averaged escape rate depends on $A$ nonmonotonically. Near the bifurcation amplitude $A_c$ it scales as $ν\propto (A_c-A)^ζ$. We identify three scaling regimes, with $ζ= 1/4, -1$, and 1/2.

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M. I. Dykman, D. Ryvkine. 2005-04-18. Activated escape of periodically modulated systems. https://doi.org/10.1103/physrevlett.94.070602

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