The Becker-Döring equations with exponentially size-dependent rate coefficients
This paper is concerned with an analysis of the Becker-Döring equations which lie at the heart of a number of descriptions of non-equilibrium phase transitions and related complex dynamical processes. The Becker-Döring theory describes growth and fragmentation in terms of stepwise addition or remova...
| Main Authors: | , , |
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| Format: | Article |
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IOP
2004
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| Online Access: | https://eprints.nottingham.ac.uk/939/ |
| _version_ | 1848790507294031872 |
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| author | Wattis, Jonathan A.D. Bolton, Colin D. Coveney, Peter V. |
| author_facet | Wattis, Jonathan A.D. Bolton, Colin D. Coveney, Peter V. |
| author_sort | Wattis, Jonathan A.D. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | This paper is concerned with an analysis of the Becker-Döring equations which lie at the heart of a number of descriptions of non-equilibrium phase transitions and related complex dynamical processes. The Becker-Döring theory describes growth and fragmentation in terms of stepwise addition or removal of single particles to or from clusters of similar particles and has been applied to a wide range of problems of physicochemical and biological interest within recent years. Here we consider the case where the aggregation and fragmentation rates depend exponentially on cluster size. These choices of rate coefficients at least qualitatively correspond
to physically realistic molecular clustering scenarios such as occur in, for example, simulations of simple fluids.
New similarity solutions for the constant monomer Becker-Döring system are identified, and shown to be generic in the case of aggregation and fragmentation rates that depend exponentially on cluster size. |
| first_indexed | 2025-11-14T18:13:43Z |
| format | Article |
| id | nottingham-939 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:13:43Z |
| publishDate | 2004 |
| publisher | IOP |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-9392020-05-04T20:31:44Z https://eprints.nottingham.ac.uk/939/ The Becker-Döring equations with exponentially size-dependent rate coefficients Wattis, Jonathan A.D. Bolton, Colin D. Coveney, Peter V. This paper is concerned with an analysis of the Becker-Döring equations which lie at the heart of a number of descriptions of non-equilibrium phase transitions and related complex dynamical processes. The Becker-Döring theory describes growth and fragmentation in terms of stepwise addition or removal of single particles to or from clusters of similar particles and has been applied to a wide range of problems of physicochemical and biological interest within recent years. Here we consider the case where the aggregation and fragmentation rates depend exponentially on cluster size. These choices of rate coefficients at least qualitatively correspond to physically realistic molecular clustering scenarios such as occur in, for example, simulations of simple fluids. New similarity solutions for the constant monomer Becker-Döring system are identified, and shown to be generic in the case of aggregation and fragmentation rates that depend exponentially on cluster size. IOP 2004 Article PeerReviewed Wattis, Jonathan A.D., Bolton, Colin D. and Coveney, Peter V. (2004) The Becker-Döring equations with exponentially size-dependent rate coefficients. Journal of Physics. A, Mathematical and General, 37 . pp. 2895-2912. ISSN 0305-4470 |
| spellingShingle | Wattis, Jonathan A.D. Bolton, Colin D. Coveney, Peter V. The Becker-Döring equations with exponentially size-dependent rate coefficients |
| title | The Becker-Döring equations with exponentially size-dependent rate coefficients |
| title_full | The Becker-Döring equations with exponentially size-dependent rate coefficients |
| title_fullStr | The Becker-Döring equations with exponentially size-dependent rate coefficients |
| title_full_unstemmed | The Becker-Döring equations with exponentially size-dependent rate coefficients |
| title_short | The Becker-Döring equations with exponentially size-dependent rate coefficients |
| title_sort | becker-döring equations with exponentially size-dependent rate coefficients |
| url | https://eprints.nottingham.ac.uk/939/ |