PERCOLATION THRESHOLDS AND PERCOLATION CONDUCTIVITIES OF OCTAGONAL AND DODECAGONAL QUASI-CRYSTALLINE LATTICES

被引：11

作者：

BABALIEVSKI, F

机构：

[1] Institute of General and Inorganic Chemistry

来源：

PHYSICA A | 1995年 / 220卷 / 3-4期

关键词：

D O I：

10.1016/0378-4371(95)00260-E

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The octagonal and dodecagonal quasilattices were generated by means of the grid method. Monte Carlo simulation and cluster counting procedure were used for numerical determination of the site and bond percolation thresholds. Two types of connectivity called ferromagnetic and chemical were studied. The estimated site percolation thresholds are 0.5435... and 0.585... for octagonal lattice and 0.617... and 0.628... for dodecagonal lattice respectively. The obtained spanning fraction curves(for site percolation) seem to approach the 50% value at the percolation threshold. The site percolation conductivity for these lattices was studied by means of a transfer-matrix approach. The critical behavior was found to be the same as for the periodic lattices.

引用

页码：245 / 250

页数：6

共 15 条

[1] NEW, HEURISTIC, PERCOLATION CRITERION FOR CONTINUUM-SYSTEMS [J].