Exact solutions for cluster-growth kinetics with evolving size and shape profiles
In this paper we construct a model for the simultaneous compaction by which clusters are restructured, and growth of clusters by pairwise coagulation. The model has the form of a multicomponent aggregation problem in which the components are cluster mass and cluster diameter. Following suitabl...
| Main Author: | |
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| Format: | Article |
| Published: |
IOP
2006
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| Online Access: | https://eprints.nottingham.ac.uk/933/ |
| _version_ | 1848790505686564864 |
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| 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 | In this paper we construct a model for the simultaneous
compaction by which clusters are restructured, and growth
of clusters by pairwise coagulation. The model has the form
of a multicomponent aggregation problem in which the
components are cluster mass and cluster diameter.
Following suitable approximations, exact explicit solutions
are derived which may be useful for the verification of
simulations of such systems. Numerical simulations are
presented to illustrate typical behaviour and to show the
accuracy of approximations made in deriving the model.
The solutions are then simplified using asymptotic
techniques to show the relevant timescales of the kinetic
processes and elucidate the shape of the cluster distribution
functions at large times. |
| first_indexed | 2025-11-14T18:13:41Z |
| format | Article |
| id | nottingham-933 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:13:41Z |
| publishDate | 2006 |
| publisher | IOP |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-9332020-05-04T20:30:23Z https://eprints.nottingham.ac.uk/933/ Exact solutions for cluster-growth kinetics with evolving size and shape profiles Wattis, Jonathan A.D. In this paper we construct a model for the simultaneous compaction by which clusters are restructured, and growth of clusters by pairwise coagulation. The model has the form of a multicomponent aggregation problem in which the components are cluster mass and cluster diameter. Following suitable approximations, exact explicit solutions are derived which may be useful for the verification of simulations of such systems. Numerical simulations are presented to illustrate typical behaviour and to show the accuracy of approximations made in deriving the model. The solutions are then simplified using asymptotic techniques to show the relevant timescales of the kinetic processes and elucidate the shape of the cluster distribution functions at large times. IOP 2006 Article PeerReviewed Wattis, Jonathan A.D. (2006) Exact solutions for cluster-growth kinetics with evolving size and shape profiles. Journal of Physics. A, Mathematical and General, 39 . pp. 7283-7298. ISSN 0305-4470 |
| spellingShingle | Wattis, Jonathan A.D. Exact solutions for cluster-growth kinetics with evolving size and shape profiles |
| title | Exact solutions for
cluster-growth kinetics with evolving size and shape profiles |
| title_full | Exact solutions for
cluster-growth kinetics with evolving size and shape profiles |
| title_fullStr | Exact solutions for
cluster-growth kinetics with evolving size and shape profiles |
| title_full_unstemmed | Exact solutions for
cluster-growth kinetics with evolving size and shape profiles |
| title_short | Exact solutions for
cluster-growth kinetics with evolving size and shape profiles |
| title_sort | exact solutions for
cluster-growth kinetics with evolving size and shape profiles |
| url | https://eprints.nottingham.ac.uk/933/ |