Scaling behavior of diffusion limited aggregation in percolation cluster

This paper presents a computer model of diffusion limited aggregation (DLA) in percolation cluster. Simulation of the aggregation clusters in percolation cluster with varying occupancy probability is performed, and their fractal dimension and multifractal spectrum are obtained. The simulation results show that the percolation cluster has stronger effects on the aggregation clusters' pattern structure when occupancy probability is smaller. The dimension D-f of aggregation clusters increases together with the increase of occupancy probability. Furthermore, the multifractal spectra f(alpha) curve becomes higher and the range of singularity a wilder. The bigger the occupancy probability is, the more irregular and non-uniform the aggregation clusters becomes.