Skip to main content

Research Repository

Advanced Search

Exact solutions for cluster-growth kinetics with evolving size and shape profiles

Wattis, Jonathan A.D.

Authors



Abstract

In this paper we construct a model for the simultaneous
compaction by which clusters are restructured, and growth
of clusters by pairwise coagulation. The model has the form
of a multicomponent aggregation problem in which the
components are cluster mass and cluster diameter.
Following suitable approximations, exact explicit solutions
are derived which may be useful for the verification of
simulations of such systems. Numerical simulations are
presented to illustrate typical behaviour and to show the
accuracy of approximations made in deriving the model.
The solutions are then simplified using asymptotic
techniques to show the relevant timescales of the kinetic
processes and elucidate the shape of the cluster distribution
functions at large times.

Citation

Wattis, J. A. Exact solutions for cluster-growth kinetics with evolving size and shape profiles. Journal of Physics A: Mathematical and General, 39,

Journal Article Type Article
Deposit Date Aug 14, 2008
Journal Journal of Physics. A, Mathematical and General
Electronic ISSN 0305-4470
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 39
Public URL http://eprints.nottingham.ac.uk/id/eprint/933
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf

Files


text8.pdf (917 Kb)
PDF

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





You might also like



Downloadable Citations