Critical kinetics near the gelation transition
- 1 December 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (12) , L743-L747
- https://doi.org/10.1088/0305-4470/15/12/015
Abstract
Smouluchowski's equation for rapid coagulation is used to describe the kinetics of gelation, in which the coagulation kernel Kij models the bonding mechanism. For different classes of kernels the authors derive criteria for the occurrence of a gelation transition, and obtain critical exponents in the pre- and post-gelation stages in terms of the model parameters.Keywords
This publication has 10 references indexed in Scilit:
- Critical Properties for Gelation: A Kinetic ApproachPhysical Review Letters, 1982
- Critical kinetics near gelationJournal of Physics A: General Physics, 1982
- Singularities in the kinetics of coagulation processesJournal of Physics A: General Physics, 1981
- Kinetics of polymer gelationThe Journal of Chemical Physics, 1980
- Percolation theoryReports on Progress in Physics, 1980
- Scaling theory of percolation clustersPhysics Reports, 1979
- The development of structure in the expanding universeThe Astrophysical Journal, 1978
- Evolution of coagulating systemsJournal of Colloid and Interface Science, 1973
- ON AN INFINITE SET OF NON-LINEAR DIFFERENTIAL EQUATIONSThe Quarterly Journal of Mathematics, 1962
- ON A RECURRENCE FORMULA IN DIFFERENTIAL EQUATIONSThe Quarterly Journal of Mathematics, 1962