Journal
JOURNAL OF CHEMICAL PHYSICS
Volume 150, Issue 19, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.5088725
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Funding
- National Institutes of Health, the Center for Information Technology
- CENTER FOR INFORMATION TECHNOLOGY [ZIACT000273] Funding Source: NIH RePORTER
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We study steady-state flux of particles diffusing on a flat surface and trapped by absorbing spikes of arbitrary length periodically protruding from a reflecting base. It is assumed that the particle concentration, far from this comblike boundary, is kept constant. To find the flux, we use a boundary regularization approach that replaces the initial highly rough and heterogeneous boundary by an effective boundary which is smooth and uniform. After such a replacement, the two-dimensional diffusion problem becomes essentially one-dimensional, and the steadystate flux can be readily found. Our main results are simple analytical expressions determining the position of the smooth effective boundary and its uniform trapping rate as functions of the spike length and interspike distance. It is shown that the steady-state flux to the effective boundary is identical to its counterpart to the initial boundary at large distances from this boundary. Our analytical results are corroborated by Brownian dynamics simulations. Published under license by AIP Publishing.
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