Influence of the Inclusion Shape on the Conductivity of Two-Dimensional Models of Composites

被引：1

作者：

Balagurov, B. Ya. ^{[1
]}

机构：

[1] Russian Acad Sci, Emanuel Inst Biochem Phys, Moscow 119334, Russia

来源：

TECHNICAL PHYSICS | 2011年 / 56卷 / 05期

关键词：

PERCOLATION; COMPUTER; PLANE;

D O I：

10.1134/S1063784211050057

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The conductivity of some two-dimensional models of composites with randomly located and oriented dielectric inclusions of various shapes is considered. Exact analytical expressions are obtained for the effective conductivity sigma(e) at low concentration N of inclusions. The results are compared with the results of the corresponding computer experiment.

引用

页码：589 / 596

页数：8

共 13 条

[1] Electrical Conductivity of a Two-Dimensional Model for a Structurally Anisotropic Composite [J].

Balagurov, B. Ya. .

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2010, 110 (02) :265-274

[2]

Balagurov B. Ya., 1982, Soviet Physics - Technical Physics, V27, P544

[3] COMPUTER STUDY OF THE PERCOLATION-THRESHOLD IN A TWO-DIMENSIONAL ANISOTROPIC SYSTEM OF CONDUCTING STICKS [J].

BALBERG, I ;

BINENBAUM, N .

PHYSICAL REVIEW B, 1983, 28 (07) :3799-3812

[4] MEASUREMENT OF THE CONDUCTIVITY EXPONENT IN TWO-DIMENSIONAL PERCOLATING NETWWORKS - SQUARE LATTICE VERSUS RANDOM-VOID CONTINUUM [J].

DUBSON, MA ;

GARLAND, JC .

PHYSICAL REVIEW B, 1985, 32 (11) :7621-7623

[5] UNIVERSAL CONDUCTIVITY CURVE FOR A PLANE CONTAINING RANDOM HOLES [J].

GARBOCZI, EJ ;

THORPE, MF ;

DEVRIES, MS ;

DAY, AR .

PHYSICAL REVIEW A, 1991, 43 (12) :6473-6482

[6]

GRADSHTEIN IS, 1980, TABLE INTEGRALS SUM

[7] PERCOLATION AND CONDUCTION [J].

KIRKPATRICK, S .

REVIEWS OF MODERN PHYSICS, 1973, 45 (04) :574-588

[8]

Landau L.D., 1984, Course of Theoretical Physics. Vol. 8

[9]

Lavren't'ev M. A., 1959, METHODS THEORY FUNCT

[10] PERCOLATION AND CONDUCTIVITY - COMPUTER STUDY .1. [J].

PIKE, GE ;

SEAGER, CH .

PHYSICAL REVIEW B, 1974, 10 (04) :1421-1434

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