Communication: Clusters of absorbing disks on a reflecting wall: competition for diffusing particles.
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.
Mathematical and Statistical Computing Laboratory, Division for Computational Bioscience, Center for Information Technology, National Institutes of Health, Bethesda, Maryland 20892, USA.
Alexander M
AM
Berezhkovskii
Leonardo
L
Dagdug
Vladimir A
VA
Lizunov
Joshua
J
Zimmerberg
Sergey M
SM
Bezrukov
D004058:Diffusion; D056004:Molecular Dynamics Simulation; D010316:Particle Size