Selection of the scaling solution in a cluster coalescence model

Preprint

15 April 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9804150

Abstract

The scaling properties of the cluster size distribution of a system of diffusing clusters is studied in terms of a simple kinetic mean field model. It is shown that a one parameter family of mathematically valid scaling solutions exists. Despite this, the kinetics reaches a unique scaling solution independent of initial conditions. This selected scaling solution is marginally physical; i.e., it is the borderline solution between the unphysical and physical branches of the family of solutions.

Keywords

SELECTED SCALING SOLUTION
DISTRIBUTION OF A SYSTEM
CLUSTER COALESCENCE
SCALING PROPERTIES
COALESCENCE MODEL
DIFFUSING
KINETIC

All Related Versions

Version 1, 1998-04-15, ArXiv
Published version: Physical Review Letters, 79 (21), 4238.

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