NDLI: Particle lifetime in cylindrical cavity with absorbing spot on the wall: Going beyond the narrow escape problem

Content Provider	PubMed Central
Author	Dagdug, Leonardo Berezhkovskii, Alexander M. Bezrukov, Sergey M.
Copyright Year	2012
Abstract	The mean lifetime of a particle diffusing in a cylindrical cavity with a circular absorbing spot on the cavity wall is studied analytically as a function of the spot radius, its location on the wall, the particle initial position, and the cavity shape determined by its length and radius. When the spot radius tends to zero our formulas for the mean lifetime reduce to the result given by the solution of the narrow escape problem, according to which the mean lifetime is proportional to the ratio of the cavity volume to the spot radius and is independent of the cavity shape, the spot location on the cavity wall, and the particle starting point, assuming that this point is not too close to the spot. When the spot radius is not small enough, the asymptotic narrow escape formula for the mean lifetime fails, and one should use more general formulas derived in the present study. To check the accuracy and to establish the range of applicability of the formulas, we compare our theoretical predictions with the results of Brownian dynamics simulations.
Related Links	http://dx.doi.org/10.1063/1.4772183
Starting Page	234108
File Format	PDF
ISSN	00219606
e-ISSN	10897690
Journal	The Journal of Chemical Physics
Issue Number	23
Volume Number	137
Language	English
Publisher	American Institute of Physics
Publisher Date	2012-01-01
Access Restriction	Open
Rights Holder	American Institute of Physics
Subject Keyword	Physical and Theoretical Chemistry Physics and Astronomy(all) Research in Higher Education
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Medicine Physical and Theoretical Chemistry

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