Exact solutions for cluster-growth kinetics with evolving size and shape profiles

Wattis, Jonathan AD (2006) Exact solutions for cluster-growth kinetics with evolving size and shape profiles. Journal of Physics. A, Mathematical and General, 39 . pp. 7283-7298. ISSN 0305-4470

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Abstract

In this paper we construct a model for the simultaneous compaction by which clusters are restructured, and growth of clusters by pairwise coagulation. The model has the form of a multicomponent aggregation problem in which the components are cluster mass and cluster diameter. Following suitable approximations, exact explicit solutions are derived which may be useful for the verification of simulations of such systems. Numerical simulations are presented to illustrate typical behaviour and to show the accuracy of approximations made in deriving the model. The solutions are then simplified using asymptotic techniques to show the relevant timescales of the kinetic processes and elucidate the shape of the cluster distribution functions at large times.

Item Type:Article
Schools/Departments:Faculty of Science > School of Mathematical Sciences
ID Code:933
Deposited By:Wattis, Jonathan
Deposited On:14 Aug 2008 16:44
Last Modified:27 Jun 2011 11:15

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