SYSTEMATIC DERIVATION OF PERCOLATION THRESHOLDS IN CONTINUUM-SYSTEMS

被引：46
作者：
ALON, U
DRORY, A
BALBERG, I
机构：
[1] Racah Institute of Physics, Hebrew University, Jerusalem
来源：
PHYSICAL REVIEW A | 1990年 / 42卷 / 08期
关键词：
D O I：
10.1103/PhysRevA.42.4634
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
Analytic expressions for the critical percolation density in the continuum are derived using the direct-connectedness expansion method. Demonstrating a systematic application of this method for systems of permeable cubes or spheres, it is concluded that the present expansion is quite practical for the derivation of critical parameters of continuum systems. Correspondingly we also utilize the method to find the percolation threshold of the so-far unstudied continuum systems of oriented hypercubes. The results obtained are in excellent agreement with Monte Carlo simulations. © 1990 The American Physical Society.
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页码：4634 / 4638
页数：5
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