Activated escape over oscillating barriers: The case of many dimensions
Statistical Mechanics
2015-06-24 v1
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 our analytic results over a wide parameter range.
Cite
@article{arxiv.cond-mat/0212117,
title = {Activated escape over oscillating barriers: The case of many dimensions},
author = {Jörg Lehmann and Peter Reimann and Peter Hänggi},
journal= {arXiv preprint arXiv:cond-mat/0212117},
year = {2015}
}
Comments
19 pages, 6 figures, RevTeX4