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Phys. Rev. E 70, 031102 (2004) [11 pages]

Influence of tether dynamics on forced Kramers escape from a kinetic trap

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Anirban Sain1,* and Michael Wortis2
1Physics Department, McGill University, Rutherford Building, 3600 rue University, Montreal, Quebec, Canada H3A 2T8
2Department of Physics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6

Received 16 March 2004; published 3 September 2004

When a trapped particle is subject to the tension of a massive frictional spring (the “tether”), the escape rate increases due to a lowering of the escape barrier. However, in addition, the escape-rate prefactor is influenced by the mass and drag contributed by the spring. We solve the full Kramers escape problem for the coupled system using a technique attributed to Langer. The prefactor in the escape rate is significantly modified by the spring parameters even in the strong-damping limit. The biophysical relevance of this problem is briefly discussed.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.031102
DOI:
10.1103/PhysRevE.70.031102
PACS:
82.20.Uv, 82.39.−k, 02.50.Ey, 05.40.−a

*Present address: Physics Department, Indian Institute of Technology Bombay, Powai, Mumbai-400 076, India.