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Aggregation processes with n-particle elementary reactions

P L Krapivsky

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Studies aggregation processes of n-particle coalescence by means of a generalized Smoluchowski equation. For a model of constant reaction rates, an exact general solution is obtained and the scaling behaviour for the cluster-mass distribution is observed. A model with sum-kernel reaction rates is also studied and an exact solution for a monodisperse initial distribution is found.


PACS

82.70.-y Disperse systems; complex fluids

82.20.Fd Collision theories; trajectory models

82.20.Pm Rate constants, reaction cross sections, and activation energies

MSC

05A15 Exact enumeration problems, generating functions (See also 33Cxx, 33Dxx)

Subjects

Soft matter, liquids and polymers

Chemical physics and physical chemistry

Dates

Issue 19 (7 October 1991)



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