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Maier RS, Stein DL. Noise-activated escape from a sloshing potential well. Phys Rev Lett. 2001;86(18):3942-5doi: 10.1103/PhysRevLett.86.3942.
Maier, R. S., & Stein, D. L. (2001). Noise-activated escape from a sloshing potential well. Physical review letters, 86(18), 3942-5. https://doi.org/10.1103/PhysRevLett.86.3942
Maier, R S, and Stein, D L. "Noise-activated escape from a sloshing potential well." Physical review letters vol. 86,18 (2001): 3942-5. doi: https://doi.org/10.1103/PhysRevLett.86.3942
Maier RS, Stein DL. Noise-activated escape from a sloshing potential well. Phys Rev Lett. 2001 Apr 30;86(18):3942-5. doi: 10.1103/PhysRevLett.86.3942. PMID: 11328066.
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Phys Rev Lett. 2001 Apr 30;86(18):3942-5. doi: 10.1103/PhysRevLett.86.3942.

Noise-activated escape from a sloshing potential well.

Physical review letters

R S Maier, D L Stein

Affiliations

  1. Mathematics Department, University of Arizona, Tucson, Arizona 85721, USA.

PMID: 11328066 DOI: 10.1103/PhysRevLett.86.3942

Abstract

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. Near the well top, the relevant length scales and the boundary layer structure are determined. We show how behavior near the well top generalizes the behavior determined by Kramers, in the case without forcing. Our analysis includes the case when the forcing does not die away in the weak-noise limit. We discuss the relevance of scaling regimes, defined by the relative strengths of the forcing and the noise, to recent optical trap experiments.

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