ArticleThe Journal of chemical physics2015
Trapping of diffusing particles by striped cylindrical surfaces. Boundary homogenization approach.
Article in The Journal of chemical physics, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
What it found
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Who cites it
6 citing papers in PubMed.
- Evaluating diffusion resistance of a constriction in a membrane channel by the method of boundary homogenization.Physical review. E · 2021Article
- Trapping of diffusing particles by periodic absorbing rings on a cylindrical tube.The Journal of chemical physics · 2019Article
- Steady-state flux of diffusing particles to a rough boundary formed by absorbing spikes periodically protruding from a reflecting base.The Journal of chemical physics · 2019Article
- Trapping of diffusing particles by short absorbing spikes periodically protruding from reflecting base.The Journal of chemical physics · 2018Article
- Boundary homogenization for a sphere with an absorbing cap of arbitrary size.The Journal of chemical physics · 2016Article
- Note: Boundary homogenization for a circle with periodic absorbing arcs. Exact expression for the effective trapping rate.The Journal of chemical physics · 2015Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
We study trapping of diffusing particles by a cylindrical surface formed by rolling a flat surface, containing alternating absorbing and reflecting stripes, into a tube. For an arbitrary stripe orientation with respect to the tube axis, this problem is intractable analytically because it requires dealing with non-uniform boundary conditions. To bypass this difficulty, we use a boundary homogenization approach which replaces non-uniform boundary conditions on the tube wall by an effective uniform partially absorbing boundary condition with properly chosen effective trapping rate. We demonstrate that the exact solution for the effective trapping rate, known for a flat, striped surface, works very well when this surface is rolled into a cylindrical tube. This is shown for both internal and external problems, where the particles diffuse inside and outside the striped tube, at three orientations of the stripe direction with respect to the tube axis: (a) perpendicular to the axis, (b) parallel to the axis, and
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Registered trials
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