Diffusion-limited aggregation
Diffusion-limited aggregation
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DOI：
10.1098/rspa.1989.0046
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发表时间：
1989-05
期刊：
影响因子：
--
通讯作者：
P. Meakin;Susan Tolman
中科院分区：
文献类型：
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作者：
P. Meakin;Susan Tolman
改进的算法已经被开发用于在维度（d）3-8中的非晶格和超立方晶格扩散限制聚集（DLA）以及用于二维非晶格DLA。在二维非晶格DLA中，对于包含多达106个颗粒的团簇，获得了约1.71的分形维数（D）。这明显大于平均场理论预测的（d2 + 1）/（d + 1）（d = 2时为5/3）的值。对于d > 2，非格点模拟给出了与平均场理论一致的结果。对于d = 3和d = 4的晶格各向异性的影响，可以很容易地看到分别包含3 × 106和106个网站和有效的分形维数略小于晶格模型集群比非晶格集群集群。结果还提出了二维，三维和四维晶格模型集群与噪声降低。
Improved algorithms have been developed for both off-lattice and hypercubic lattice diffusion-limited aggregation (DLA) in dimensionalities (d) 3-8 and for two-dimensional off-lattice DLA. In two-dimensional off-lattice DLA a fractal dimensionality (D) of about 1.71 was obtained for clusters containing up to 106 particles. This is significantly larger than the value of (d2 + 1)/(d + 1) (5/3 for d = 2) predicted by mean field theories. For d > 2 the off-lattice simulations give results that are consistent with the mean field theories. For d = 3 and d = 4 the effects of lattice anisotropy can easily be seen for clusters containing 3 x 106 and 106 sites respectively and the effective fractal dimensionalities are slightly smaller for the lattice model clusters than for the off-lattice clusters. Results are also presented for two-, three- and four- dimensional lattice model clusters with noise reduction.