Monte Carlo simulation of particle aggregation and gelation: I. Growth, structure and size distribution of the clusters

Lattice and off lattice Monte Carlo simulations of diffusion-limited cluster aggregation and gelation were done over a broad range of concentrations. The large-scale structure and the size distribution of the clusters are characterized by a crossover at a characteristic size (m(c)). For m < m(c), they are the same as obtained in a dilute DLCA process and for m >> m(c) they are the same as obtained in a static percolation process. m(c) is determined by the overlap of the clusters and decreases with increasing particle concentration. The growth rate of large clusters is a universal function of time reduced by the gel time. The large-scale structural and temporal properties are the same for lattice and off-lattice simulations. The average degree of connectivity per particle in the gels formed in off lattice simulations is independent of the concentration, but its distribution depends on the concentration.