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

Wattis, Jonathan A.D.

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.

Citation

Wattis, J. A. Similarity solutions of a Becker-Döring system with time-dependent monomer input. Journal of Physics A: Mathematical and General, 37,

• Journal Article Type: Article
• Deposit Date: Aug 11, 2008
• Journal: Journal of Physics. A, Mathematical and General
• Electronic ISSN: 0305-4470
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 37
• Public URL: https://nottingham-repository.worktribe.com/output/1021848