Trapping of diffusing particles by small absorbers localized in a spherical region.

Content Provider	Europe PMC
Author	Berezhkovskii, Alexander M. Dagdug, Leonardo Bezrukov, Sergey M.
Copyright Year	2019
Abstract	We study trapping of particles diffusing in a spherical cavity with an absorbing wall containing small static spherical absorbers localized in a spherical region in the center of the cavity. The focus is on the competition between the absorbers and the cavity wall for diffusing particles. Assuming that the absorbers and, initially, the particles are uniformly distributed in the central region, we derive an expression for the particle trapping probability by the cavity wall. The expression gives this probability as a function of two dimensionless parameters: the transparency parameter, characterizing the efficiency of the particle trapping by the absorbers, and the ratio of the absorber-containing region radius to that of the cavity. This work is a generalization of a recent study by Krapivsky and Redner [J. Chem. Phys. 147, 214903 (2017)] who considered the case where the absorber-containing region occupies the entire cavity. The expression for the particle trapping probability is derived in the framework of a steady-state approach which, in our opinion, is much simpler than the time-dependent approach used in the above-mentioned study.
Related Links	https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC6374143&blobtype=pdf
Page Count	4
ISSN	00219606
Volume Number	150
DOI	10.1063/1.5083808
PubMed Central reference number	PMC6374143
Issue Number	6
PubMed reference number	30769973
Journal	The Journal of Chemical Physics [J Chem Phys]
e-ISSN	10897690
Language	English
Publisher	AIP Publishing LLC
Publisher Date	2019-02-01
Access Restriction	Open
Rights License	0021-9606/2019/150(6)/064107/4/$30.00 Copyright © 2019 U.S. Government
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Medicine Physical and Theoretical Chemistry