Open AccessTHE SCALING PROPERTIES OF DLA CLUSTERS WITH ANISOTROPIC DIFFUSION
Author(s) -
Yongchao Jiang,
Gang Hu
Publication year - 1989
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.38.202
Subject(s) - anisotropy , anisotropic diffusion , hausdorff dimension , scaling , physics , hausdorff space , diffusion , lattice (music) , square lattice , statistical physics , dimension (graph theory) , diffusion limited aggregation , coincidence , geometry , mathematical analysis , fractal dimension , fractal , combinatorics , mathematics , optics , quantum mechanics , medicine , alternative medicine , pathology , acoustics , ising model
We present a coordinate transformation approach to study the effect of anisotropic diffusion-on the growth of DLA clusters. For two-dimensional square lattice, we calculate analytically the Hausdorff dimension of the anisotropic diffusive DLA clusters, and show that the Hausdorff dimension D varies continuously with the anisotropic diffusion probability p, with Dmax = 5/3 and Dmin = 3/2. We also compare our results with the numerical results of Jullien et al., and find a very good coincidence. Finally, we discuss analytically the generalized dimensions Dq for DLA clusters with anisotropic diffusion.