FORMATION OF FRACTAL CLUSTERS AND NETWORKS BY IRREVERSIBLE DIFFUSION-LIMITED AGGREGATION
FORMATION OF FRACTAL CLUSTERS AND NETWORKS BY IRREVERSIBLE DIFFUSION-LIMITED AGGREGATION
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DOI：
10.1103/physrevlett.51.1119
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发表时间：
1983-01-01
影响因子：
8.6
通讯作者：
MEAKIN, P
中科院分区：
文献类型：
--
作者：
MEAKIN, P
研究了一种扩散控制的聚集模型，其中生长的簇和单个粒子都是可移动的。该模型的两个版本，其中簇扩散系数要么与大小无关，要么与粒子数量（质量）成反比，给出了非常相似的结果。在低浓度和大系统尺寸的限制下，两种模型在基于二维晶格的模拟中都得到了分形（Hausdorff）维数约为1.45-1.5的结构。
A model for diffusion-controlled aggregation in which growing clusters as well as individual particles are mobile has been investigated. Two versions of the model in which the cluster diffusion coefficient is either size independent or inversely proportional to number of particles (mass) give very similar results. In the limit of low concentration and large system size both models lead to structures with a fractal (Hausdorff) dimensionality of about 1.45-1.5 in two-dimensional lattice-based simulations.