FRAGMENTATION OF PERCOLATION CLUSTERS AT THE PERCOLATION-THRESHOLD

被引：27

作者：

GYURE, MF ^{[1
]}

EDWARDS, BF ^{[1
]}

机构：

[1] W VIRGINIA UNIV,DEPT PHYS,MORGANTOWN,WV 26506

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 17期

关键词：

D O I：

10.1103/PhysRevLett.68.2692

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A scaling theory and simulation results are presented for fragmentation of percolation clusters by random bond dilution. At the percolation threshold, scaling forms describe the average number of fragmenting bonds and the distribution of cluster masses produced by fragmentation. A relationship between the scaling exponents and standard percolation exponents is verified in one dimension, on the Bethe lattice, and for Monte Carlo simulations on a square lattice. These results further describe the structure of percolation clusters and provide kernels relevant to rate equations for fragmentation.

引用

页码：2692 / 2695

页数：4

共 19 条

[11] CLUSTER SIZE AND BOUNDARY DISTRIBUTION NEAR PERCOLATION THRESHOLD [J].