Gelation by additive polymerization in two dimensions

Abstract

Kinetics of gelation by additive polymerization on a two-dimensional lattice were investigated with a Monte Carlo simulation. We have determined the critical component γ and the ratio R of the critical amplitudes of the weight-average degree of polymerization (“susceptibility”) to be γ = 3.8 ± 0.5 and R = 140 ± 45. These results show that this model is neither in the universality class of standard percolation (γ ± 43/18 ± 2.38; R = 219 ± 25) nor the Flory-Stockmayer model (γ = 1, R = 1).