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Universality in escape from a modulated potential well

M. I. Dykman·B. Golding·J. R. Kruse·L. I. McCann·D. Ryvkine
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Abstract

We show that the rate of activated escape $W$ from a periodically modulated potential displays scaling behavior versus modulation amplitude $A$. For adiabatic modulation of an optically trapped Brownian particle, measurements yield $\ln W\propto (A_{\rm c} - A)^μ$ with $μ= 1.5$. The theory gives $μ=3/2$ in the adiabatic limit and predicts a crossover to $μ=2$ scaling as $A$ approaches the bifurcation point where the metastable state disappears.

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M. I. Dykman, B. Golding, J. R. Kruse, L. I. McCann, D. Ryvkine. 2002-04-29. Universality in escape from a modulated potential well. https://doi.org/10.1063/1.1584917

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