Fractal dimensionality for kinetic gelation with conserved initiators

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Abstract
A kinetic gelation model is developed for which the number of active initiator molecules is conserved. For this reason this model exhibits a gelation threshold even for very small values of cI, the concentration of initiator molecules, in contrast to the conventional model of kinetic gelation with non-conserved initiators. This model is studied by Monte Carlo analysis for a two-dimensional triangular lattice with a sequence of lattice sizes up to 900*900 sites. The authors use finite-size scaling to study the dependence of yh (the fractal dimension) and yT (=1/ nu ) upon cI. They find that yT depends weakly on cI, but that the fractal dimension yh is independent of cI. This is in accord with the most recent work for the conventional kinetic gelation model with non-conserved initiators.