Noise-Activated Escape from a Sloshing Potential Well

Details Noise-Activated Escape from a Sloshing Potential Well Noise-Activated Escape from a Sloshing Potential Well

2000-06-08

arxiv.org/abs/cond-mat/0006120v2

Phys. Rev. Lett. 86 (2001) 3942

Physics

Condensed Matter

Statistical Mechanics

9 pages, no figures, REVTeX, expanded version

Scientific paper

10.1103/PhysRevLett.86.3942

We treat the noise-activated escape from a one-dimensional potential well of an overdamped particle, to which a periodic force of fixed frequency is applied. We determine the boundary layer behavior, and the physically relevant length scales, near the oscillating well top. We show how stochastic behavior near the well top generalizes the behavior first determined by Kramers, in the case without forcing. Both the case when the forcing dies away in the weak noise limit, and the case when it does not, are examined. We also discuss the relevance of various scaling regimes to recent optical trap experiments.

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