Self-Similarity in Irreversible Kinetic Gelation

Abstract

An irreversible kinetic gelation model is studied by Monte Carlo simulations on a square lattice. By two different methods, it is found that the gel network is self-similar at the gel point. The fractal dimension $D$ is measured and it is compared with percolation and with other kinetic models of cluster formation. With use of scaling, the exponent ratios $\frac{\gamma }{\nu }$ and $\frac{\beta }{\nu }$ are obtained from the results for $D$.