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

Wattis, Jonathan A.D.

Authors



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-D├Âring model of simultaneous aggregation and fragmentation,
and more general models involving coagulation and fragmentation.

Citation

Wattis, J. A. An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach. Physica D: Nonlinear Phenomena, 222,

Journal Article Type Article
Deposit Date Aug 15, 2008
Journal Physica D
Print ISSN 0167-2789
Electronic ISSN 0167-2789
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 222
Keywords coagulation, aggregation, fragmentation, mathematical modelling
Public URL http://eprints.nottingham.ac.uk/id/eprint/934
Publisher URL http://www.elsevier.com/wps/find/journaldescription.cws_home/505714/description?navopenmenu=1
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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