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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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3382924 | PMC |
| http://dx.doi.org/10.1063/1.4726015 | DOI Listing |
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