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钻孔渗流中的普遍性和渐近标度

Universality and asymptotic scaling in drilling percolation.

机构信息

JSC, FZ Jülich, D-52425 Jülich, Germany.

出版信息

Phys Rev E. 2017 Jan;95(1-1):010103. doi: 10.1103/PhysRevE.95.010103. Epub 2017 Jan 23.

Abstract

We present simulations of a three-dimensional percolation model studied recently by K. J. Schrenk et al. [Phys. Rev. Lett. 116, 055701 (2016)PRLTAO0031-900710.1103/PhysRevLett.116.055701], obtained with a new and more efficient algorithm. They confirm most of their results in spite of larger systems and higher statistics used in the present Rapid Communication, but we also find indications that the results do not yet represent the true asymptotic behavior. The model is obtained by replacing the isotropic holes in ordinary Bernoulli percolation by randomly placed and oriented cylinders, with the constraint that the cylinders are parallel to one of the three coordinate axes. We also speculate on possible generalizations.

摘要

我们呈现了 K. J. Schrenk 等人最近研究的一个三维渗流模型的模拟结果。[Phys. Rev. Lett. 116, 055701 (2016)PRLTAO0031-900710.1103/PhysRevLett.116.055701],他们使用了一种新的、更有效的算法。尽管本快速通信中使用了更大的系统和更高的统计数据,但他们还是确认了大部分结果,但我们也发现了一些迹象表明,结果还没有呈现出真正的渐近行为。该模型是通过用随机放置和定向的圆柱代替普通泊松渗流中的各向同性孔来获得的,其约束条件是圆柱与三个坐标轴中的一个平行。我们还推测了可能的推广。

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