Monte Carlo simulation to the effect of cluster Brownian diffusion coefficient on the colloidal fractal cluster aggregation kinetics

The aggregation rate constant embodies the microscopic details of the colli sion process among clusters and the kinetic behavior directly depend on the size and configuration of the reacting clusters, Using Monte Carlo method for different geometric morphologies the diffusion-limited aggregation mech anism in three dimensions was randomly simulated. The effect of duster Brow nian diffusion coefficient on the aggregation rate constant for dimers form ation, the aggregation rate of the system and the mean cluster size was stu died on microscopic and mesoscopic levels.