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27 April 2024
 
  » arxiv » cond-mat/0006120

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Noise-Activated Escape from a Sloshing Potential Well
Robert S. Maier ; D. L. Stein ;
Date 8 Jun 2000
Journal Phys. Rev. Lett. 86 (2001) 3942 DOI: 10.1103/PhysRevLett.86.3942
Subject Statistical Mechanics | cond-mat.stat-mech
AffiliationUniversity of Arizona
AbstractWe 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.
Source arXiv, cond-mat/0006120
Other source [GID 8899] pmid11328066
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