Finite-size scaling theory for anisotropic percolation models

被引:0
作者
Sinha, Santanu [1 ]
Santra, S. B. [1 ]
机构
[1] Indian Inst Technol, Dept Phys, Gauhati 781039, Assam, India
来源
INDIAN JOURNAL OF PHYSICS AND PROCEEDINGS OF THE INDIAN ASSOCIATION FOR THE CULTIVATION OF SCIENCE | 2008年 / 82卷 / 07期
关键词
disordered systems; percolation; anisotropy; finite-size scaling;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Finite-size scaling (FSS) theory for anisotropic percolation models is rarely studied. A simple FSS theory is developed here for anisotropic percolation models considering the cluster size distribution function as a generalized homogeneous function of the system size L and two connectivity lengths xi(parallel to) and xi(perpendicular to). The scaling theory predicts a new FSS function form for the cluster related quantities in terms of the anisotropic exponent theta = v parallel to/v(perpendicular to), where v(parallel to) and v(perpendicular to) are the connectivity exponents in the longitudinal and transverse directions respectively and a set of new scaling relations are obtained. In the directed percolation (DP) and directed spiral percolation (DSP) models, the clusters generated are anisotropic and they are called anisotropic percolation models. The FSS theory developed here is verified applying to the DP and DSP models.
引用
收藏
页码:919 / 927
页数:9
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