The Becker-Döring equations with exponentially size-dependent rate coefficients

Wattis, Jonathan A.D. and Bolton, Colin D. and Coveney, Peter V. (2004) The Becker-Döring equations with exponentially size-dependent rate coefficients. Journal of Physics. A, Mathematical and General, 37 . pp. 2895-2912. ISSN 0305-4470

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Abstract

This paper is concerned with an analysis of the Becker-Döring equations which lie at the heart of a number of descriptions of non-equilibrium phase transitions and related complex dynamical processes. The Becker-Döring theory describes growth and fragmentation in terms of stepwise addition or removal of single particles to or from clusters of similar particles and has been applied to a wide range of problems of physicochemical and biological interest within recent years. Here we consider the case where the aggregation and fragmentation rates depend exponentially on cluster size. These choices of rate coefficients at least qualitatively correspond

to physically realistic molecular clustering scenarios such as occur in, for example, simulations of simple fluids.

New similarity solutions for the constant monomer Becker-Döring system are identified, and shown to be generic in the case of aggregation and fragmentation rates that depend exponentially on cluster size.

Item Type: Article
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Wattis, Jonathan
Date Deposited: 11 Aug 2008 13:09
Last Modified: 27 Jun 2011 10:21
URI: http://eprints.nottingham.ac.uk/id/eprint/939

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