The percolation properties of fractal aggregation

We present two models, new random successive nucleation growth model and aggregation generation by generation model, to investigate the percolation properties of fractal aggregation. Our results suggest that the percolation threshold value of fractal aggregation is not related to the lattice size of the model, and that the fractal aggregate can grow infinitely with the same fractal dimension when the growth probability is equal to the percolation threshold value.