摘要
讨论了ＤＬＡ集团的各向异性扩散效应．计算机模拟证实了具有各向异性扩散规则的ＤＬＡ集团有严格的菱形结构．导出了一个粒子的各向异性扩散的新方程，计算了各向异性扩散ＤＬＡ集团的豪斯道夫维数，结果表明，有效外半角βｅｆ＝ｍｉｎ（βｉｘ，βｉｙ）．讨论了各向异性扩散ＤＬＡ集团的广义维数。
AbstractIn this paper,the effect of the anisotropy diffusion on the growth of diffusion limited aggregation(DLA) clusters is discussed.Our computer simulation results verify that DLA clusters grown with anisotropic diffusion rules have a striking overall diamond shape.A new anisotropic diffusion equation of particles is derived.The Hausdorff dimension of a two dimensional DLA cluster in the anisotropic diffusion is calculated.The results show that the effective angle βeff=min(βix,βiy).In addition,the generalized dimension D q of the anisotropic diffusion DLA is also discussed and an expression of the generalized dimension Dq is obtained using the modified wedge model.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1998年第9期1421-1426,共6页
Acta Physica Sinica
