Universality and cluster structures in continuum models of percolation with two different radius distributions
Universality and cluster structures in continuum models of percolation with two different radius distributions
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两种不同半径分布的渗流连续介质模型的普适性和簇结构
DOI：
10.1088/0305-4470/26/18/032
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
H. Heuer
中科院分区：
文献类型：
--
作者：
B. Lorenz;I. Orgzall;H. Heuer
研究了具有均匀（CM 1）和可变半径（CM 2）分布的圆盘和球体的连续渗流模型的渗流阈值和分形簇结构，并与普通的格子渗流模型的结果进行了比较.最多250000盘（2维）和100000球（3维）进行了数值模拟。在两个维度上，作者发现模型CM 1和CM 2的渗滤浓度明显不同。在三维系统中，两种模型的渗滤浓度在其准确度范围内无法区分。团簇船体、表面和体积的分维与相应的晶格模型相同。连续渗流问题的Harris准则通过模拟得到证实。
The percolation thresholds and the fractal cluster structures for continuum models of percolation with uniform (CM1) and variable radius (CM2) distributions of discs and spheres are investigated and compared with the results of ordinary lattice percolation. Configurations of up to 250000 discs (2 dimensions) and 100000 spheres (3 dimensions) are numerically simulated. In two dimensions the authors find distinctly different percolation concentrationss for models CM1 and CM2. In the three-dimensional systems the percolation concentration for both models cannot be distinguished within their limits of accuracy. The fractal dimensions of the cluster hull, surface and volume are the same as in the corresponding lattice models. The Harris criterion for the continuum percolation problem is confirmed by their simulation.