Rintoul MD
MS 1111, Sandia National Laboratories, P.O. Box 5800, Albuquerque, New Mexico 87185-1111, USA.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Jul;62(1 Pt A):68-72. doi: 10.1103/physreve.62.68.
The void percolation threshold is calculated for a distribution of overlapping spheres with equal radii, and for a binary-sized distribution of overlapping spheres, where half of the spheres have radii twice as large as the other half. Using systems much larger than previous work, we determine a much more precise value for the percolation thresholds and correlation length exponent. The value of the percolation threshold for the monodisperse case is shown to be 0. 0301+/-0.0003, whereas the value for the bidisperse case is shown to be p(c)=0.0287+/-0.0005. The fact that these are significantly different is in contrast with previous, less precise works that speculated that the threshold might be universal with respect to sphere size distribution.
针对具有相等半径的重叠球体分布以及二元尺寸分布的重叠球体(其中一半球体的半径是另一半的两倍),计算了空穴渗流阈值。使用比以往工作大得多的系统,我们确定了渗流阈值和关联长度指数的更精确值。单分散情况下的渗流阈值显示为0.0301±0.0003,而双分散情况下的值显示为p(c)=0.0287±0.0005。这些值存在显著差异,这与之前不太精确的研究形成对比,之前的研究推测阈值可能与球体尺寸分布无关。