Field theoretic approach to a source-enhanced aggregation process
- 7 March 1989
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (5) , 571-583
- https://doi.org/10.1088/0305-4470/22/5/019
Abstract
A diffusion-controlled cluster-cluster aggregation system with a source is analysed using the Fock space formalism and diagrammatic perturbation technique. The effective coagulation kernel and equation for low-dimensional cases (d<or=2) are derived. The asymptotic size distribution obeying a power law is obtained for any dimension. The application to the aggregation process of particles undergoing Levy flight is discussed. Through the analysis in this paper, the author clarifies a relation between critical phenomena and a source-enhanced aggregation.Keywords
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