THE HAUSDORFF DIMENSION OF DIFFUSION-LIMITED AGGREGATION CLUSTERS WITH ANISOTROPIC DIFFUSION
FENG YUE-XIN, FENG CHANG-JING, LIU SHEN-ZHI, (1)江西电视大学,南昌,330046; (2)江西师范大学计算中心,南昌,330027; (3)江西水利规划设计院,南昌,330029 · Acta Physica Sinica · 1992
We obtain effective exterion half angle of the anisotropic diffusion DLA clusters β= min {βx, βy} by analytical calculation. The hypothesis of Yu Jiang about β = max{βx,βy} is modified and the formula of Hausdorff dimension D of the anisotropic diffusion DLA clusters varying with the anisotropic diffusion probability p is also modified. We also made simulation tests and find that the modified formula agrees well with experimental results. Finally, we compare our result with the numerical result of Jullien, and find a good coincidence when