PERCOLATIVE CONDUCTIVITY OF APERIODIC LATTICES BY TRANSFER-MATRIX ALGORITHM

被引:6
作者
BABALIEVSKI, FV
机构
[1] Institute of General and Inorganic Chemistry, Bulgarian Academy of Sciences, Sofia
来源
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1991年 / 84卷 / 03期
关键词
D O I
10.1007/BF01314018
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The Derrida and Vannimenus transfer-matrix method is modified in order to make it suitable for applications to quasicrystalline and some random lattices. The method is used to compare the percolative conductivities of Penrose and square lattices. It is shown that narrow strips of the Penrose lattice have higher conductivity than that of the square lattice. With widening of the strips this difference is found to decrease. A few comments on further generalizations are offered.
引用
收藏
页码:429 / 431
页数:3
相关论文
共 16 条
[1]  
BABALIEVSKI F, 1990, COMPUT PHYS COMMUN, V60, P253
[2]   DISCRETE NETWORK MODELS FOR THE LOW-FIELD HALL-EFFECT NEAR A PERCOLATION-THRESHOLD - THEORY AND SIMULATIONS [J].
BERGMAN, DJ ;
DUERING, E ;
MURAT, M .
JOURNAL OF STATISTICAL PHYSICS, 1990, 58 (1-2) :1-43
[3]   A TRANSFER-MATRIX PROGRAM TO CALCULATE THE CONDUCTIVITY OF RANDOM RESISTOR NETWORKS [J].
DERRIDA, B ;
ZABOLITZKY, JG ;
VANNIMENUS, J ;
STAUFFER, D .
JOURNAL OF STATISTICAL PHYSICS, 1984, 36 (1-2) :31-42
[4]   A TRANSFER-MATRIX APPROACH TO RANDOM RESISTOR NETWORKS [J].
DERRIDA, B ;
VANNIMENUS, J .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (10) :L557-L564
[5]   DIFFERENCES BETWEEN LATTICE AND CONTINUUM PERCOLATION TRANSPORT EXPONENTS [J].
HALPERIN, BI ;
FENG, S ;
SEN, PN .
PHYSICAL REVIEW LETTERS, 1985, 54 (22) :2391-2394
[6]  
JARIC M, 1990, QUASICRYSTALS
[7]   MONTE-CARLO STUDY OF CORRELATED CONTINUUM PERCOLATION - UNIVERSALITY AND PERCOLATION THRESHOLDS [J].
LEE, SB ;
TORQUATO, S .
PHYSICAL REVIEW A, 1990, 41 (10) :5338-5344
[8]   PERCOLATIVE CONDUCTION AND THE ALEXANDER-ORBACH CONJECTURE IN 2 DIMENSIONS [J].
LOBB, CJ ;
FRANK, DJ .
PHYSICAL REVIEW B, 1984, 30 (07) :4090-4092
[9]   EFFECTIVE CONDUCTIVITY OF MANY-COMPONENT COMPOSITES BY A RANDOM-WALK METHOD [J].
MCCARTHY, JF .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (15) :L749-L753
[10]  
MITESCU CD, 1982, J PHYS A, V15, P2533