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Selection of the scaling solution in a cluster coalescence model

Daniel Kandel
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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.

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BibTeXRIS

Daniel Kandel. 1998-04-15. Selection of the scaling solution in a cluster coalescence model. https://doi.org/10.1103/physrevlett.79.4238

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