Activated escape over oscillating barriers: The case of many dimensions

J. Lehmann, P. Reimann, and P. Hänggi

Phys. Stat. Sol. (b) 237, 53 (2003)

Preprint: arXiv:cond-mat/0212117

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We present a novel path-integral method for the determination of time-dependent and time-averaged reaction rates in multidimensional, periodically driven escape problems at weak thermal noise. The so obtained general expressions are evaluated explicitly for the situation of a sinusoidally driven, damped particle with inertia moving in a metastable, piecewise parabolic potential. A comparison with data from Monte-Carlo simulations yields a very good agreement with our analytic results over a wide parameter range.

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