Percolation on a multifractal scale-free planar stochastic lattice and its universality class

被引：19

作者：

Hassan, M. K. ^{[1
]}

Rahman, M. M. ^{[1
]}

机构：

[1] Univ Dhaka, Dept Phys, Dhaka 1000, Bangladesh

来源：

PHYSICAL REVIEW E | 2015年 / 92卷 / 04期

关键词：

2-DIMENSIONAL LATTICES;

D O I：

10.1103/PhysRevE.92.040101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We investigate site percolation on a weighted planar stochastic lattice (WPSL), which is a multifractal and whose dual is a scale-free network. Percolation is typically characterized by a threshold value p(c) at which a transition occurs and by a set of critical exponents beta, gamma, nu which describe the critical behavior of the percolation probability P(p), mean cluster size S(p), and the correlation length xi. Besides, the exponent tau characterizes the cluster size distribution function n(s) (p(c)) and the fractal dimension d(f) characterizes the spanning cluster. We numerically obtain the value of p(c) and of all the exponents. These results suggest that the percolation on WPSL belong to a separate universality class than on all other planar lattices.

引用

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