Numerical analysis of steric influence on conductivity percolation threshold

被引:10
作者
Ambrozic, M [1 ]
Dakskobler, A [1 ]
Valant, M [1 ]
机构
[1] Jozef Stefan Inst, Ljubljana 1000, Slovenia
关键词
D O I
10.1051/epjap:2005006
中图分类号
O59 [应用物理学];
学科分类号
摘要
We have investigated the influence of the steric properties of conducting particles in a nonconducting host matrix on the conductivity threshold of the material, i.e., the minimum volume fraction of conducting phase for the whole sample to become conducting. A statistical, numerical method is used in which the particles are randomly put, one by one, into the nonconducting host and the conducting path is searched. The particles are allowed to penetrate each other to some extent. Three different types of particle shapes are considered: spherical, cylindrical with rounded ends and asymmetric cuboids with rounded surfaces. We have found that in addition to the anisotropy in the particles' dimensions, the angular distribution of the particles' long axes plays a dominant role in the calculations of the conductivity percolation threshold.
引用
收藏
页码:23 / 31
页数:9
相关论文
共 18 条
[1]   EXCLUDED VOLUME AND ITS RELATION TO THE ONSET OF PERCOLATION [J].
BALBERG, I ;
ANDERSON, CH ;
ALEXANDER, S ;
WAGNER, N .
PHYSICAL REVIEW B, 1984, 30 (07) :3933-3943
[2]   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
[3]   PERCOLATION THRESHOLDS IN THE 3-DIMENSIONAL STICKS SYSTEM [J].
BALBERG, I ;
BINENBAUM, N ;
WAGNER, N .
PHYSICAL REVIEW LETTERS, 1984, 52 (17) :1465-1468
[4]   CRITICAL BEHAVIOR OF COMPLEX DIELECTRIC-CONSTANT NEAR PERCOLATION THRESHOLD OF A HETEROGENEOUS MATERIAL [J].
BERGMAN, DJ ;
IMRY, Y .
PHYSICAL REVIEW LETTERS, 1977, 39 (19) :1222-1225
[5]   FINITE-SIZE EFFECTS IN TWO-DIMENSIONAL CONTINUUM PERCOLATION [J].
BOUDVILLE, WJ ;
MCGILL, TC .
PHYSICAL REVIEW B, 1989, 39 (01) :369-373
[6]   ELECTRICAL-CONDUCTIVITY OF COMPOSITES - A PERCOLATION APPROACH [J].
DEBONDT, S ;
FROYEN, L ;
DERUYTTERE, A .
JOURNAL OF MATERIALS SCIENCE, 1992, 27 (07) :1983-1988
[7]   CRITICAL BEHAVIOR OF CONDUCTIVITY AND DIELECTRIC-CONSTANT NEAR METAL-NON-METAL TRANSITION THRESHOLD [J].
EFROS, AL ;
SHKLOVSKII, BI .
PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1976, 76 (02) :475-485
[8]   CRITICAL-BEHAVIOR OF THE DIELECTRIC-CONSTANT OF A RANDOM COMPOSITE NEAR THE PERCOLATION-THRESHOLD [J].
GRANNAN, DM ;
GARLAND, JC ;
TANNER, DB .
PHYSICAL REVIEW LETTERS, 1981, 46 (05) :375-378
[9]   Voltage breakdown in random composites [J].
Gusev, AA ;
Guseva, OA .
ADVANCED ENGINEERING MATERIALS, 2003, 5 (10) :713-715
[10]   Geometry and topology of fracture systems [J].
Huseby, O ;
Thovert, JF ;
Adler, PM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (05) :1415-1444