各向异性扩散dla簇的Hausdorff维数及标度性质

Pub Date : 1998-09-20 DOI:10.7498/aps.47.1421

Tian Ju-ping, Yao Kai-lun

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引用次数: 0

摘要

本文讨论了各向异性扩散对扩散限制聚集(DLA)团簇生长的影响。我们的计算机模拟结果验证了在各向异性扩散规则下生长的聚乳酸簇具有显著的整体菱形。导出了一个新的粒子各向异性扩散方程。计算了二维DLA簇在各向异性扩散中的Hausdorff维数。结果表明:有效角β eff =min(β ix，β iy)。此外，还讨论了各向异性扩散DLA的广义维数dq，并利用修正的楔形模型得到了广义维数dq的表达式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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HAUSDORFF DIMENSION AND SCALING NATURE OF ANISOTROPY DIFFUSION DLA CLUSTER

In 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 β eff =min(β ix ,β iy ).In addition,the generalized dimension D q of the anisotropic diffusion DLA is also discussed and an expression of the generalized dimension D q is obtained using the modified wedge model.

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