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Activated escape over oscillating barriers: The case of many dimensions
Author(s) -
Lehmann J.,
Reimann P.,
Hänggi P.
Publication year - 2003
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200301774
Subject(s) - metastability , monte carlo method , inertia , piecewise , range (aeronautics) , statistical physics , physics , noise (video) , mathematical analysis , mathematics , classical mechanics , computer science , materials science , quantum mechanics , statistics , image (mathematics) , artificial intelligence , composite material
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.