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Phys. Rev. E 59, 6422–6432 (1999)

Intrawell relaxation of overdamped Brownian particles

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Martin Bier1, Imre Derényi1, Marcin Kostur2, and R. Dean Astumian1
1Department of Biochemistry and Molecular Biology and Department of Surgery MC6035, University of Chicago, 5841 South Maryland Avenue, Chicago, Illinois 60637
2The Institute of Physics, Silesian University, ulica Bankowa 14, 40-007 Katowice, Poland

Received 12 November 1998; published in the issue dated June 1999

We consider an overdamped Brownian particle in a well. When the particle escapes, it does so as an instanton, i.e., in one run and without dwelling anywhere on the way from the bottom of the well to the top of the barrier. For a sufficiently steep slope the instanton time equals the time it takes the particle to deterministically slide down the same slope. We show that the instanton time is also the relaxation time for the escape rate after the barrier changes shape.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.59.6422
DOI:
10.1103/PhysRevE.59.6422
PACS:
05.40.-a, 02.50.Ey, 82.20.-w