A NETWORK SIMULATION OF ANISOTROPIC PERCOLATION

被引:12
作者
GUYON, E [1 ]
CLERC, JP [1 ]
GIRAUD, G [1 ]
ROUSSENQ, J [1 ]
机构
[1] UNIV PROVENCE,PHYS SYST DESORDONNES LAB,F-13397 MARSEILLE 13,FRANCE
来源
JOURNAL DE PHYSIQUE | 1981年 / 42卷 / 11期
关键词
D O I
10.1051/jphys:0198100420110155300
中图分类号
学科分类号
摘要
The bond percolation problem of 3D anisotropic networks characterized by the anisotropy parameter R equals p// parallel /p// PERPEND is considered. A threshold shift exponent, 2. 3 plus or minus 0. 1, compatible with the exponent of the 2D clusters average size is obtained by a numerical simulation. An electrical conductivity expression above threshold is established on each side of the 3 to 2D crossover probability. However, near the percolation threshold, anisotropic size effects play a very important role in the finite network experiments.
引用
收藏
页码:1553 / 1557
页数:5
相关论文
共 18 条
[1]   HAMILTONIAN FORMULATION OF BOND PERCOLATION - ALTERNATIVE DERIVATION [J].
ALEXANDER, S .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1978, 11 (09) :1803-1806
[2]   CONDUCTION IN ANISOTROPIC DISORDERED SYSTEMS - EFFECTIVE-MEDIUM THEORY [J].
BERNASCONI, J .
PHYSICAL REVIEW B, 1974, 9 (10) :4575-4579
[3]   ANISOTROPIC PERCOLATION - CONDUCTIVITY OF A SQUARE RANDOM NETWORK OF BONDS [J].
BLANC, R ;
MITESCU, CD ;
THEVENOT, G .
JOURNAL DE PHYSIQUE, 1980, 41 (05) :387-391
[4]   CONDUCTIVITY OF A MIXTURE OF CONDUCTING AND INSULATING GRAINS - DIMENSIONALITY EFFECTS [J].
CLERC, JP ;
GIRAUD, G ;
ALEXANDER, S ;
GUYON, E .
PHYSICAL REVIEW B, 1980, 22 (05) :2489-2494
[5]  
CLERC JP, 1980, THESIS U PROVENCE, P35
[6]  
ESBACH PD, 1980, PHYS REV B, V22, P422
[7]   SYSTEMATIC APPLICATION OF GENERALIZED HOMOGENEOUS FUNCTIONS TO STATIC SCALING, DYNAMIC SCALING, AND UNIVERSALITY [J].
HANKEY, A ;
STANLEY, HE .
PHYSICAL REVIEW B, 1972, 6 (09) :3515-&
[8]   A MONTE-CARLO CALCULATION OF THE CLUSTER SIZE CRITICAL EXPONENT FOR 2D BOND PERCOLATION [J].
LOBB, CJ ;
KARASEK, KR .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1980, 13 (11) :L245-L248
[9]   ANISOTROPIC BOND PERCOLATION [J].
REDNER, S ;
STANLEY, HE .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1979, 12 (08) :1267-1283
[10]   ON THE CROSSOVER EXPONENT FOR ANISOTROPIC BOND PERCOLATION [J].
REDNER, S ;
CONIGLIO, A .
PHYSICS LETTERS A, 1980, 79 (01) :111-112