Trapping of diffusing particles by short absorbing spikes periodically protruding from reflecting base

We study trapping of diffusing particles by a periodic non-uniform boundary formed by absorbing spikes protruding from a reflecting flat base. It is argued that such a boundary can be replaced by a flat uniform partially absorbing boundary with a properly chosen effective trapping rate. Assuming tha...

Full description

Saved in:
Bibliographic Details
Published in:The Journal of chemical physics 2018-07, Vol.149 (4), p.044106
Main Authors: Skvortsov, Alexei T., Berezhkovskii, Alexander M., Dagdug, Leonardo
Format: Article
Language:English
Subjects:
Spikes
Trapping
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study trapping of diffusing particles by a periodic non-uniform boundary formed by absorbing spikes protruding from a reflecting flat base. It is argued that such a boundary can be replaced by a flat uniform partially absorbing boundary with a properly chosen effective trapping rate. Assuming that the spikes are short compared to the inter-spike distance, we propose an approximate expression which gives the trapping rate in terms of geometric parameters of the boundary and the particle diffusivity. To validate this result, we compare some theoretical predictions based on the expression for the effective trapping rate with corresponding quantities obtained from Brownian dynamics simulations.
ISSN:0021-9606
1089-7690
1089-7690
DOI:10.1063/1.5040774