Precise determination of the conductivity exponent of 3D percolation using ''Percola''

被引：40

作者：

Normand, JM ^{[1
]}

Herrmann, HJ ^{[1
]}

机构：

[1] ECOLE SUPER PHYS & CHIM IND VILLE PARIS,PMMH,F-75231 PARIS 05,FRANCE

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS | 1995年 / 6卷 / 06期

关键词：

D O I：

10.1142/S0129183195000678

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Using 20 months of CPU time on our special purpose computer ''Percola'' we determined the exponent for the normal conductivity at the threshold of three-dimensional site and bond percolation. The extrapolation analysis taking into account the first correction to scaling gives a value of t/nu = 2.26 +/- 0.04 and a correction exponent omega around 1.4.

引用

页码：813 / 817

页数：5

共 14 条

[1]

ALEXANDER S, 1982, J PHYS LETT-PARIS, V43, pL625, DOI 10.1051/jphyslet:019820043017062500

[2]

BATROUNI GG, PREPRINT

[3]

DERRIDA B, 1983, J PHYS LETT-PARIS, V44, pL701, DOI 10.1051/jphyslet:019830044017070100

[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]

FRANK DJ, 1988, J PHYS REV B, V7, P302

[6] PERCOLATIVE CONDUCTION IN 3 DIMENSIONS [J].

GINGOLD, DB ;

LOBB, CJ .

PHYSICAL REVIEW B, 1990, 42 (13) :8220-8224

[7]

HAJJAR M, 1987, THESIS ORSAY

[8] A SPECIAL PURPOSE COMPUTER FOR THE ELECTRICAL-CONDUCTIVITY OF DISORDERED MEDIA [J].

HAYOT, F ;

HERRMANN, HJ ;

NORMAND, JM ;

FARTHOUAT, P ;

MUR, M .

JOURNAL OF COMPUTATIONAL PHYSICS, 1986, 64 (02) :380-388

[9] SPECULATION ON A SCALING LAW FOR SUPERCONDUCTOR RESISTOR MIXTURE EXPONENT-S IN A PERCOLATION SYSTEM [J].

KERTESZ, J .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (13) :L471-L474

[10]

Normand J. M., 1990, International Journal of Modern Physics C (Physics and Computers), V1, P207, DOI 10.1142/S0129183190000116

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