Conductivity of the 3D model of a composite with spheroidal inclusions

被引：0
作者：
Balagurov, B. Ya. [1 ]
机构：
[1] Russian Acad Sci, Emanuel Inst Biochem Phys, Moscow 119334, Russia
来源：
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS | 2017年 / 124卷 / 06期
关键词：
2-DIMENSIONAL ANISOTROPIC SYSTEM; PERCOLATION-THRESHOLD; COMPUTER; PLANE;
D O I：
10.1134/S1063776117050107
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The solution to the problem of the conductivity of the 3D model of a composite with inclusion having a shape of oblate ellipsoids of revolution (spheroids) has been obtained in a wide range of concentrations. The entire range of variation of the shape of inclusions (from a sphere to an infinitely thin circular disk) has been considered. The relation between the percolation thresholds in this model and the quantities characterizing its effective conductivity in the limit of low concentrations of inclusions has been established.
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收藏
页码：975 / 981
页数：7
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共 20 条
  • [1] Continuum percolation threshold for interpenetrating squares and cubes
    Baker, DR
    Paul, G
    Sreenivasan, S
    Stanley, HE
    [J]. PHYSICAL REVIEW E, 2002, 66 (04): : 5 - 046136
  • [2] Influence of the shape of inclusions on the percolation thresholds in 2D models of composites
    Balagurov, B. Ya.
    [J]. TECHNICAL PHYSICS, 2012, 57 (08) : 1051 - 1057
  • [3] Balagurov B. Ya., 2015, ELECTROPHYSICAL PROP
  • [4] COMPUTER STUDY OF THE PERCOLATION-THRESHOLD IN A TWO-DIMENSIONAL ANISOTROPIC SYSTEM OF CONDUCTING STICKS
    BALBERG, I
    BINENBAUM, N
    [J]. PHYSICAL REVIEW B, 1983, 28 (07): : 3799 - 3812
  • [5] FINITE-SIZE EFFECTS IN TWO-DIMENSIONAL CONTINUUM PERCOLATION
    BOUDVILLE, WJ
    MCGILL, TC
    [J]. PHYSICAL REVIEW B, 1989, 39 (01): : 369 - 373
  • [6] CRITICAL BEHAVIOR OF CONDUCTIVITY AND DIELECTRIC-CONSTANT NEAR METAL-NON-METAL TRANSITION THRESHOLD
    EFROS, AL
    SHKLOVSKII, BI
    [J]. PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1976, 76 (02): : 475 - 485
  • [7] GEOMETRICAL PERCOLATION-THRESHOLD OF OVERLAPPING ELLIPSOIDS
    GARBOCZI, EJ
    SNYDER, KA
    DOUGLAS, JF
    THORPE, MF
    [J]. PHYSICAL REVIEW E, 1995, 52 (01) : 819 - 828
  • [8] UNIVERSAL CONDUCTIVITY CURVE FOR A PLANE CONTAINING RANDOM HOLES
    GARBOCZI, EJ
    THORPE, MF
    DEVRIES, MS
    DAY, AR
    [J]. PHYSICAL REVIEW A, 1991, 43 (12): : 6473 - 6482
  • [9] CONFIRMATION OF THE UNIVERSAL CONDUCTIVITY CRITICAL EXPONENT IN A 2-DIMENSIONAL ANISOTROPIC SYSTEM
    HAN, KH
    LEE, JO
    LEE, SI
    [J]. PHYSICAL REVIEW B, 1991, 44 (13): : 6791 - 6793
  • [10] PERCOLATION AND CONDUCTION
    KIRKPATRICK, S
    [J]. REVIEWS OF MODERN PHYSICS, 1973, 45 (04) : 574 - 588
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