Throwing ropes in the dark: the case of oscillating barriers

Jörg Lehmann; Peter Reimann; Peter Hänggi

doi:10.1117/12.488607

7 May 2003 Throwing ropes in the dark: the case of oscillating barriers

Jörg Lehmann, Peter Reimann, Peter Hänggi

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Proceedings Volume 5114, Noise in Complex Systems and Stochastic Dynamics; (2003) https://doi.org/10.1117/12.488607
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States

Abstract

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 analytic results over a wide parameter range.

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Jörg Lehmann, Peter Reimann, and Peter Hänggi "Throwing ropes in the dark: the case of oscillating barriers", Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); https://doi.org/10.1117/12.488607

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