General flux to a trap in one and three dimensions

Details General flux to a trap in one and three dimensions General flux to a trap in one and three dimensions

2006-06-28

arxiv.org/abs/cond-mat/0606736v1

J. Phys.: Condens. Matter 19, 065102 (2007)

Physics

Condensed Matter

Statistical Mechanics

Accepted for publication, in press

Scientific paper

10.1088/0953-8984/19/6/065102

The problem of the flux to a spherical trap in one and three dimensions, for diffusing particles undergoing discrete-time jumps with a given radial probability distribution, is solved in general, verifying the Smoluchowski-like solution in which the effective trap radius is reduced by an amount proportional to the jump length. This reduction in the effective trap radius corresponds to the Milne extrapolation length.

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