Statistics of small clusters in system with rare aggregation centers

O.G. Bakunin

Physica A: Statistical Mechanics and its Applications, 2005, vol. 348, issue C, 245-251

Abstract: An integral equation describing the statistics of small clusters in a system with rare aggregation centers is considered in this paper. This equation is obtained from the probabilistic consideration of transition to cluster–cluster aggregation in the small-cluster system. Several different dependences for the characteristic probability are used. A new form of dependence for the cluster-size distribution is obtained. The fluctuation character of used model is discussed. In the case of Poisson's statistics of growth centers, the Levy cluster-size distribution is obtained.

Keywords: Cluster statistics; Aggregation; Scalings (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:348:y:2005:i:c:p:245-251

DOI: 10.1016/j.physa.2004.09.002

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