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Phys. Rev. Lett. 82, 3193–3197 (1999)

Time Oscillations of Escape Rates in Periodically Driven Systems

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V. N. Smelyanskiy1,2, M. I. Dykman1, and B. Golding1
1Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824
2Caelum Research Company, NASA Ames Research Center, MS 269-2, Moffett Field, California 94035-1000

Received 4 November 1998; published in the issue dated 19 April 1999

We provide an explicit solution of the problem of activation escape from a metastable state of a periodically driven Brownian particle, including both the exponent and the prefactor. We find the instantaneous and time-average escape rates, and a crossover in their field dependence, from weak to exponentially strong, with amplitude and period of the driving field. The results apply for an arbitrary ratio between the field amplitude and the noise intensity, and between the field period and the relaxation time of the system.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.3193
DOI:
10.1103/PhysRevLett.82.3193
PACS:
05.40.Jc, 02.50.-r, 05.20.-y, 82.40.Bj