An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach
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 di...
| Main Author: | |
|---|---|
| Format: | Article |
| Published: |
Elsevier
2006
|
| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/934/ |
| _version_ | 1848790505981214720 |
|---|---|
| author | Wattis, Jonathan A.D. |
| author_facet | Wattis, Jonathan A.D. |
| author_sort | Wattis, Jonathan A.D. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:13:41Z |
| format | Article |
| id | nottingham-934 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:13:41Z |
| publishDate | 2006 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-9342020-05-04T20:30:23Z https://eprints.nottingham.ac.uk/934/ An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach Wattis, Jonathan A.D. 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. Elsevier 2006 Article PeerReviewed Wattis, Jonathan A.D. (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 coagulation aggregation fragmentation mathematical modelling http://www.elsevier.com/wps/find/journaldescription.cws_home/505714/description?navopenmenu=1 |
| spellingShingle | coagulation aggregation fragmentation mathematical modelling Wattis, Jonathan A.D. An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach |
| title | An introduction to mathematical models of
coagulation-fragmentation processes:
a discrete deterministic mean-field approach |
| title_full | An introduction to mathematical models of
coagulation-fragmentation processes:
a discrete deterministic mean-field approach |
| title_fullStr | An introduction to mathematical models of
coagulation-fragmentation processes:
a discrete deterministic mean-field approach |
| title_full_unstemmed | An introduction to mathematical models of
coagulation-fragmentation processes:
a discrete deterministic mean-field approach |
| title_short | An introduction to mathematical models of
coagulation-fragmentation processes:
a discrete deterministic mean-field approach |
| title_sort | introduction to mathematical models of
coagulation-fragmentation processes:
a discrete deterministic mean-field approach |
| topic | coagulation aggregation fragmentation mathematical modelling |
| url | https://eprints.nottingham.ac.uk/934/ https://eprints.nottingham.ac.uk/934/ |