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Proceedings Paper • Open Access

Throwing ropes in the dark: the case of oscillating barriers
Author(s): Jörg Lehmann; Peter Reimann; Peter Hänggi

Paper 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.

Paper Details

Date Published: 7 May 2003
PDF: 15 pages
Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); doi: 10.1117/12.488607
Show Author Affiliations
Jörg Lehmann, Univ. Augsburg (Germany)
Peter Reimann, Univ. Bielefeld (Germany)
Peter Hänggi, Univ. Augsburg (Germany)

Published in SPIE Proceedings Vol. 5114:
Noise in Complex Systems and Stochastic Dynamics
Lutz Schimansky-Geier; Derek Abbott; Alexander Neiman; Christian Van den Broeck, Editor(s)

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