HAUSDORFF DIMENSION AND SEALING NATURE OF ANISOTROPY DIFFUSION DLA CLUSTER

In this paper, the effect of the anisotropy diffusion on the growth of DLA cluster is discussed. Our computer simulation results verify that DLA clusters grown with anisotropy diffusion rules have a striking ov erall diamond shape. A new anisotropy diffusion equation of particles is derived. The Hausdorff dimension of two-dimensional DLA cluster of the anisotropy diffusion is calculated. The results show that the effe ctive angle beta(eff)=min(beta(ix), beta(iy)) In addition, the general ized dimension Dq of the anisotropy diffusion DLA is also discussed an d an expression of the generalized dimension Dq is obtained using the modified wedge model.