An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach

Wattis, Jonathan AD (2006) An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach. Physica D, 222 . pp. 1-20. ISSN 0167-2789

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Abstract

We summarise the properties and the fundamental mathematical results

associated with basic models which describe

coagulation and fragmentation processes in a deterministic manner

and in which cluster size is a discrete quantity (an integer

multiple of some basic unit size).

In particular, we discuss Smoluchowski's equation for aggregation,

the Becker-Döring model of simultaneous aggregation and fragmentation,

and more general models involving coagulation and fragmentation.

Item Type: Article
Uncontrolled Keywords: coagulation, aggregation, fragmentation, mathematical modelling
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Wattis, Jonathan
Date Deposited: 15 Aug 2008 14:01
Last Modified: 24 Jun 2011 14:28
URI: http://eprints.nottingham.ac.uk/id/eprint/934

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