Activated escape over oscillating barriers: The case of many dimensions

Details Activated escape over oscillating barriers: The case of many dimensions Activated escape over oscillating barriers: The case of many dimensions

2002-12-05

arxiv.org/abs/cond-mat/0212117v1

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

Physics

Condensed Matter

Statistical Mechanics

19 pages, 6 figures, RevTeX4

Scientific paper

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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