Fundamental problems concerning three dimensional clustering on surfaces

Kelly Shorlin, Sergey Krylov and Martin Zinke-Allmang

Physica A: Statistical Mechanics and its Applications, 1998, vol. 261, issue 1, 248-265

Abstract: By extending the two dimensional theory of islanding by Marqusee to the case of three dimensional clustering on surfaces, we investigate the power law behaviour of average cluster radius as a function of time. We find that the average cluster radius asymptotically approaches the t1/4 behaviour predicted in previous models which have been based on physically unreasonable assumptions. We discuss the effect of reshaping during cluster formation on surfaces on the expected cluster size distribution. A nonequilibrium cluster shape may explain the positive skewness and the widening of the size distribution which have been observed experimentally.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:261:y:1998:i:1:p:248-265

DOI: 10.1016/S0378-4371(98)00379-3

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