An investigation of site-bond percolation on many lattices

被引：39

作者：

Tarasevich, YY ^{[1
]}

Van der Marck, SC

机构：

[1] Astrakhan State Pedagog Univ, Fac Math & Phys, Astrakhan 414056, Russia

[2] SIEP Res & Tech Serv, NL-2280 AB Rijswijk, Netherlands

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 1999年 / 10卷 / 07期

关键词：

mixed percolation; critical curve; lattice;

D O I：

10.1142/S0129183199000978

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A calculation of site-bond percolation thresholds in many lattices in two to Eve dimensions is presented. The line of threshold values has been parametrized in the Literature, but we show here that there are strong deviations from the known approximate equations. We propose an alternative parametrization that lies much closer to the numerical values.

引用

页码：1193 / 1204

页数：12

共 24 条

[1] SITE-BOND PERCOLATION - LOW-DENSITY SERIES STUDY OF THE UNCORRELATED LIMIT [J].

AGRAWAL, P ;

REDNER, S ;

REYNOLDS, PJ ;

STANLEY, HE .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1979, 12 (11) :2073-2085

[2] Measures of critical exponents in the four-dimensional site percolation [J].

Ballesteros, HG ;

Fernandez, LA ;

MartinMayor, V ;

Sudupe, AM ;

Parisi, G ;

RuizLorenzo, JJ .

PHYSICS LETTERS B, 1997, 400 (3-4) :346-351

[3] SITE-BOND CORRELATED-PERCOLATION PROBLEM - STATISTICAL MECHANICAL MODEL OF POLYMER GELATION [J].

CONIGLIO, A ;

STANLEY, HE ;

KLEIN, W .

PHYSICAL REVIEW LETTERS, 1979, 42 (08) :518-522

[4] PERCOLATION PROCESSES AND RELATED TOPICS [J].

FRISCH, HL ;

HAMMERSLEY, JM .

JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1963, 11 (04) :894-918

[5]

GAUNT DS, 1978, J PHYS A-MATH GEN, V11, P1369, DOI 10.1088/0305-4470/11/7/025

[6] A GENERALIZATION OF MCDIARMIDS THEOREM FOR MIXED BERNOULLI PERCOLATION [J].

HAMMERSLEY, JM .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1980, 88 (JUL) :167-170

[7]

HOSHEN J, 1978, PREPRINT

[8] THE CRITICAL PROBABILITY OF BOND PERCOLATION ON THE SQUARE LATTICE EQUALS 1/2 [J].

KESTEN, H .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 74 (01) :41-59

[9] Precise determination of the bond percolation thresholds and finite-size scaling corrections for the sc, fcc, and bcc lattices [J].

Lorenz, CD ;

Ziff, RM .

PHYSICAL REVIEW E, 1998, 57 (01) :230-236

[10] Universality of the excess number of clusters and the crossing probability function in three-dimensional percolation [J].

Lorenz, CD ;

Ziff, RM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (40) :8147-8157

← 1 2 3 →