Similarity solutions of a Becker-Döring system with time-dependent monomer input
We formulate the Becker-Döring equations for cluster growth in the presence of a time-dependent source of monomer input. In the case of size-independent aggregation and ragmentation rate coefficients we find similarity solutions which are approached in the large time limit. The form of the solut...
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| Format: | Article |
| Published: |
IOP
2004
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| Online Access: | https://eprints.nottingham.ac.uk/937/ |
| _version_ | 1848790506778132480 |
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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 | We formulate the Becker-Döring equations for cluster growth in the presence of a time-dependent source of monomer input.
In the case of size-independent aggregation and ragmentation
rate coefficients we find similarity solutions which are approached in the large time limit. The form of the solutions depends on the rate of monomer input and whether fragmentation is present in the model; four distinct types of solution are found. |
| first_indexed | 2025-11-14T18:13:42Z |
| format | Article |
| id | nottingham-937 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:13:42Z |
| publishDate | 2004 |
| publisher | IOP |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-9372020-05-04T20:31:43Z https://eprints.nottingham.ac.uk/937/ Similarity solutions of a Becker-Döring system with time-dependent monomer input Wattis, Jonathan A.D. We formulate the Becker-Döring equations for cluster growth in the presence of a time-dependent source of monomer input. In the case of size-independent aggregation and ragmentation rate coefficients we find similarity solutions which are approached in the large time limit. The form of the solutions depends on the rate of monomer input and whether fragmentation is present in the model; four distinct types of solution are found. IOP 2004 Article PeerReviewed Wattis, Jonathan A.D. (2004) Similarity solutions of a Becker-Döring system with time-dependent monomer input. Journal of Physics. A, Mathematical and General, 37 . pp. 7823-7841. ISSN 0305-4470 |
| spellingShingle | Wattis, Jonathan A.D. Similarity solutions of a Becker-Döring system with time-dependent monomer input |
| title | Similarity solutions of a Becker-Döring system with time-dependent monomer input |
| title_full | Similarity solutions of a Becker-Döring system with time-dependent monomer input |
| title_fullStr | Similarity solutions of a Becker-Döring system with time-dependent monomer input |
| title_full_unstemmed | Similarity solutions of a Becker-Döring system with time-dependent monomer input |
| title_short | Similarity solutions of a Becker-Döring system with time-dependent monomer input |
| title_sort | similarity solutions of a becker-döring system with time-dependent monomer input |
| url | https://eprints.nottingham.ac.uk/937/ |