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

Wattis, Jonathan A.D.

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.

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: 1872-8022
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 222
• Keywords: coagulation, aggregation, fragmentation, mathematical modelling
• Public URL: https://nottingham-repository.worktribe.com/output/1019736
• Publisher URL: http://www.elsevier.com/wps/find/journaldescription.cws_home/505714/description?navopenmenu=1