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: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Wattis, Jonathan
Date Deposited: 14 Aug 2008 15:44
Last Modified: 27 Jun 2011 10:15
URI: http://eprints.nottingham.ac.uk/id/eprint/933

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