Communication: Clusters of absorbing disks on a reflecting wall: competition for diffusing particles |
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| Authors: | Berezhkovskii Alexander M Dagdug Leonardo Lizunov Vladimir A Zimmerberg Joshua Bezrukov Sergey M |
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| Affiliation: | Mathematical and Statistical Computing Laboratory, Division for Computational Bioscience, Center for Information Technology, National Institutes of Health, Bethesda, Maryland 20892, USA. |
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| Abstract: | ![]()
Trapping of diffusing particles by a cluster of absorbing disks on the otherwise reflecting wall is a manifestly many-body problem because of the disk competition for the particles. By replacing the cluster with an effective uniformly absorbing spot, we derive a simple formula for the rate constant that characterizes the trapping. The formula shows how the rate constant depends on the size and shape of the cluster. |
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