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重叠球体两种分布的空隙渗流阈值的精确测定。

Precise determination of the void percolation threshold for two distributions of overlapping spheres.

作者信息

Rintoul MD

机构信息

MS 1111, Sandia National Laboratories, P.O. Box 5800, Albuquerque, New Mexico 87185-1111, USA.

出版信息

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Jul;62(1 Pt A):68-72. doi: 10.1103/physreve.62.68.

DOI:10.1103/physreve.62.68
PMID:11088435
Abstract

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.

摘要

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。

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