ArticleThe Journal of chemical physics2016
Boundary homogenization for a sphere with an absorbing cap of arbitrary size.
Article in The Journal of chemical physics, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Surface-facilitated trapping by active sites: From catalysts to viruses.The Journal of chemical physics · 2021Article
- Revising Berg-Purcell for finite receptor kinetics.Biophysical journal · 2021Article
- Evaluating diffusion resistance of a constriction in a membrane channel by the method of boundary homogenization.Physical review. E · 2021Article
- Distribution of extreme first passage times of diffusion.Journal of mathematical biology · 2020Article
- Effects of the Size, the Number, and the Spatial Arrangement of Reactive Patches on a Sphere on Diffusion-limited Reaction Kinetics: A Comprehensive Study.International journal of molecular sciences · 2020Article
- 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
- Diffusion-induced competitive two-site binding.The Journal of chemical physics · 2019Article
- Theory of Diffusion-Influenced Reaction Networks.The journal of physical chemistry. B · 2018Article
- Trapping of diffusing particles by short absorbing spikes periodically protruding from reflecting base.The Journal of chemical physics · 2018Article
- Note: Effect of a small surface defect on the Smoluchowski rate constant and capacitance of a spherical capacitor.The Journal of chemical physics · 2017Article
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
This paper focuses on trapping of diffusing particles by a sphere with an absorbing cap of arbitrary size on the otherwise reflecting surface. We approach the problem using boundary homogenization which is an approximate replacement of non-uniform boundary conditions on the surface of the sphere by an effective uniform boundary condition with appropriately chosen effective trapping rate. One of the main results of our analysis is an expression for the effective trapping rate as a function of the surface fraction occupied by the absorbing cap. As the cap surface fraction increases from zero to unity, the effective trapping rate increases from that for a small absorbing disk on the otherwise reflecting sphere to infinity which corresponds to a perfectly absorbing sphere. The obtained expression for the effective trapping rate is applied to find the rate constant describing trapping of diffusing particles by an absorbing cap on the surface of the sphere. Finally, we find the capacitance of a metal cap of arbitrary size on a dielectric sphere using the relation between the capacitance and the rate constant of the corresponding diffusion-limited reaction. The relative error of our approximate expressions for the rate constant and the capacitance is less than 5% over the entire range of the cap surface fraction from zero to unity.
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