Smoluchowski-like theory for trapping kinetics in a slab

Leonardo Dagdug, Alexander M. Berezhkovskii and George H. Weiss

Physica A: Statistical Mechanics and its Applications, 2003, vol. 318, issue 3, 341-346

Abstract: The theory of diffusion-limited reactions is traditionally developed in terms of unconstrained diffusion in an unbounded volume. The Smoluchowski mean-field theory predicts an exponential decay of the survival probability for particles that diffuse among randomly placed static traps. This means that the ensemble of traps may be considered as a uniform absorbing continuum. It is shown that this picture is also correct in the case of constrained diffusion, more specifically for diffusion in a slab constrained by two parallel absorbing planes.

Keywords: Constrained Brownian motion; Wiener sausage volume; Path integral (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:318:y:2003:i:3:p:341-346

DOI: 10.1016/S0378-4371(02)01380-8

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