ANALYTIC DERIVATION OF PERCOLATION THRESHOLDS IN ANISOTROPIC SYSTEMS OF PERMEABLE OBJECTS

被引：32

作者：

DRORY, A ^{[1
]}

BALBERG, I ^{[1
]}

ALON, U ^{[1
]}

BERKOWITZ, B ^{[1
]}

机构：

[1] MINIST AGR, WATER COMMISS, HYDROL SERV, IL-91063 JERUSALEM, ISRAEL

来源：

PHYSICAL REVIEW A | 1991年 / 43卷 / 12期

关键词：

D O I：

10.1103/PhysRevA.43.6604

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present a systematic derivation of the percolation thresholds in anisotropic systems composed of permeable elongated boxes. The analytic calculation is based on an order-by-order diagrammatic expansion of the pair-connectedness function. A comparison of the results with those of Monte Carlo simulations shows excellent quantitative agreement. We conclude that, of the analytic methods suggested thus far, the present approach is the most suitable one for quantitative derivation of system properties in continuum percolation.

引用

页码：6604 / 6612

页数：9

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