Critical property and universality in the generalized Smoluchovski coagulation equation

Publisher Website
Google Scholar
Abstract
The kinetics of gelation has been studied via the generalized Smoluchovski coagulation equation. For the product coagulation kernel we derive criteria for the occurrence of gelation and obtain critical exponents in the pregelation and postgelation stage in terms of the model parameters. We also discuss the temporal approach of a cluster size distribution to its asymptotic scaling form. For homogeneous kernels we find values for the scaling exponents w and z in terms of the scaling exponent τ and the kernel homogeneity λ. It is shown that there exists a general scaling relation, valid for all n-polymer coagulation processes with n≥2, whereas the critical exponents vary with different n.

This publication has 8 references indexed in Scilit: