Anisotropic Diffusion Limited Aggregation: From Self-Similarity to Self-Affinity
Anisotropic Diffusion Limited Aggregation: From Self-Similarity to Self-Affinity
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各向异性扩散限制聚集：从自相似到自亲和
DOI：
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发表时间：
1987
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通讯作者：
M. Kolb
中科院分区：
文献类型：
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作者：
M. Kolb
使用修改后的生长规则来模拟扩散限制的颗粒聚集。通过参数，沿着对称轴的生长各向异性可以从各向同性到强各向异性连续变化。对于弱各向异性，我们最初观察到分形维数 D = 1.7 的各向同性结构，该结构在方形晶格上交叉为具有两个不同标度指数 Daxis = 1.5 和 Ddiagonal = 2.0 的各向异性结构，分别沿轴、沿对角线。人们可以根据经典聚集来理解各向异性状态的增长，其中波动被忽略。
Diffusion-limited particle aggregation is simulated with a modified growth rule. By means of a parameter the growth anisotropy along the axes of symmetry can be varied continually from isotropic to strongly anisotropic. For weak anisotropy one initially observes an isotropic structure with a fractal dimension D = 1.7 which crosses over to an anisotropic structure with two different scaling exponents Daxial = 1.5 and Ddiagonal = 2.0 along the axes, respectively, along the diagonals, on a square lattice. One can understand the growth in the anisotropic regime in terms of classical aggregation, where the fluctuations are neglected.