PRECISE DETERMINATION OF BACKBONE STRUCTURE AND CONDUCTIVITY OF 3D PERCOLATION NETWORKS BY THE DIRECT ELECTRIFYING ALGORITHM

被引：12

作者：

Li, Chunyu ^{[1
]}

Chou, Tsu-Wei ^{[1
]}

机构：

[1] Univ Delaware, Dept Mech Engn, Newark, DE 19716 USA

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2009年 / 20卷 / 03期

关键词：

Percolation; backbone; conductivity; perfectly-balanced bonds; algorithm; RANDOM-RESISTOR NETWORK; MOLECULAR-SIZE DISTRIBUTION; HOSHEN-KOPELMAN-ALGORITHM; DIMENSIONS; IDENTIFICATION; THRESHOLD; CLUSTERS; POLYMERS; PARALLEL;

D O I：

10.1142/S0129183109013777

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper confirms the applicability of a newly developed efficient algorithm, the direct electrifying method, for identifying backbone for 3D site and bond percolating networks. This algorithm is based on the current-carrying definition of backbone and carried out on the predetermined spanning cluster, which is assumed to be a resistor network. The scaling exponents so obtained for backbone mass, red bonds, and conductivity are in very good agreement with some existing results. The perfectly balanced bonds in 3D backbone structures are predicted first time to be 0.00179 +/- 0.00009 and 0.00604 +/- 0.00008 of the backbone mass for bond and site percolations, respectively.

引用

页码：423 / 433

页数：11

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