Selection of the scaling solution in a cluster coalescence model

Details Selection of the scaling solution in a cluster coalescence model Selection of the scaling solution in a cluster coalescence model

1998-04-15

arxiv.org/abs/cond-mat/9804150v1

Phys Rev Lett 79, 4238 (1997)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.79.4238

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.

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