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Similarity solutions of a Becker-Döring system with time-dependent monomer input

Wattis, Jonathan A.D.

Authors

Jonathan A.D. Wattis Jonathan.Wattis@nottingham.ac.uk



Abstract

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.

Journal Article Type Article
Journal Journal of Physics. A, Mathematical and General
Electronic ISSN 0305-4470
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 37
APA6 Citation Wattis, J. A. Similarity solutions of a Becker-Döring system with time-dependent monomer input. Journal of Physics A: Mathematical and General, 37,
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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