Some analytical and numerical solutions for colloidal aggregation with fragmentation
- 7 June 1995
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 28 (11) , 2981-2994
- https://doi.org/10.1088/0305-4470/28/11/004
Abstract
We study the kinetic equation which describes the evolution of cluster-size distribution of the aggregation-fragmentation problem, the so-called generalized Smoluchowski equation for several dynamics of cluster growth. By using the method of the generating function we find analytical solutions for some cases. Besides, numerical solutions are found for the time evolution of clusters where the aggregation and fragmentation kernels do not allow a complete analytical solution.Keywords
This publication has 12 references indexed in Scilit:
- Numerical solutions to the smoluchowski aggregation—fragmentation equationJournal of Colloid and Interface Science, 1991
- The discrete coagulation-fragmentation equations: Existence, uniqueness, and density conservationJournal of Statistical Physics, 1990
- Scaling in Aggregation with Breakup Simulations and Mean-Field TheoryPhysical Review Letters, 1988
- Cluster-size evolution in a coagulation-fragmentation systemPhysical Review Letters, 1987
- Kinetics of Coagulation with Fragmentation: Scaling Behavior and FluctuationsPhysical Review Letters, 1986
- The kinetics of cluster fragmentation and depolymerisationJournal of Physics A: General Physics, 1985
- Kinetics of reversible polymerizationJournal of Statistical Physics, 1984
- Coagulation with fragmentationJournal of Physics A: General Physics, 1981
- Kinetics of polymerizationJournal of Statistical Physics, 1980
- Note on the Kinetics of Systems Manifesting Simultaneous Polymerization-Depolymerization PhenomenaThe Journal of Physical Chemistry, 1945