We use molecular dynamics simulations to study a model of the gelation transition with a dynamic bond forming procedure. After establishing evidence for three-dimensional (3D) percolation as the static universality class, we turn our attention to the dynamics of clusters at the gelation point, focusing in particular on the behavior of the diffusion constant $D\left(s\right)\mathrm{}$ as a function of cluster size s. We find a very clear power law behavior $D\left(s\right)\mathrm{}\sim s^{-k}$ with a nontrivial exponent $k\approx \mathrm{0.69.}$

• Received 22 April 2002

DOI:https://doi.org/10.1103/PhysRevE.66.031502