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A branching-process solution of the polydisperse coagulation equation

Published online by Cambridge University Press:  01 July 2016

John L. Spouge
John L. Spouge*
Affiliation:
Trinity College, Oxford
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Abstract

The polydisperse coagulation equation models irreversible aggregation of particles with varying masses. This paper uses a one-parameter family of discrete-time continuous multitype branching processes to solve the polydisperse coagulation equation when

The critical time tc when diverges corresponds to a critical branching process, while post-critical times t> tc correspond to supercritical branching processes.

Keywords

SMOLUCHOWSKI COAGULATION EQUATIONPOLYMERISATIONBRANCHING PROCESSES
Type
Research Article
Information
Advances in Applied Probability , Volume 16 , Issue 1 , March 1984 , pp. 56 - 69
Copyright
Copyright © Applied Probability Trust 1984 

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