Abstract: The aggregation rate constant embodies the microscopic details of the collision 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 mechanism in three dimensions was randomly simulated. The effect of cluster Brownian diffusion coefficient on the aggregation rate constant for dimers formation, the aggregation rate of the system and the mean cluster size was studied on microscopic and mesoscopic levels.

Key words: Cluster Brownian diffusion coefficient, Diffusion-limited aggregation, Aggregation kinetics, Geometric morphology factor, Monte Carlo method