Limits on the continuum-percolation transport exponents

被引:116
作者
Balberg, I [1 ]
机构
[1] Hebrew Univ Jerusalem, Racah Inst Phys, IL-91904 Jerusalem, Israel
关键词
D O I
10.1103/PhysRevB.57.13351
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The many experimental data that have been accumulated for the critical resistance exponent. t, and the relative resistance noise exponent, kappa, in percolation. systems, are generally in disagreement with the original predictions of the random void and the inverted random void models of continuum percolation. In this paper we show that by allowing a nonrandom distribution of the voids (or the particles) in these models, one can account for all the experimental data. In particular, we show that, except for the two-dimensional inverted random void system, the exponent t may have any value larger than its universal value, while the Kit ratio will be bound.
引用
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页码:13351 / 13354
页数:4
相关论文
共 41 条
[21]   2-COMPONENT MODEL FOR THE RESISTIVITY AND NOISE OF TUNNELING METAL-INSULATOR COMPOSITES [J].
MANTESE, JV ;
CURTIN, WA ;
WEBB, WW .
PHYSICAL REVIEW B, 1986, 33 (12) :7897-7901
[22]   SYSTEMATIC STUDY OF PERCOLATIVE NETWORK FORMATION AND EFFECTIVE ELECTRIC-RESPONSE IN LOW-CONCENTRATION-CARBON-BLACK POLYMER COMPOSITES [J].
MICHELS, MAJ ;
BROKKENZIJP, JCM ;
GROENEWOUD, WM ;
KNOESTER, A .
PHYSICA A, 1989, 157 (01) :529-534
[23]  
Modjtahedi A, 1997, NOISE IN PHYSICAL SYSTEMS AND 1/F FLUCTUATIONS, PROCEEDINGS OF THE 14TH INTERNATIONAL CONFERENCE, P623
[24]   1/f noise in nonlinear inhomogeneous systems [J].
Nandi, UN ;
Mukherjee, CD ;
Bardhan, KK .
PHYSICAL REVIEW B, 1996, 54 (18) :12903-12914
[25]   CONDUCTIVITY AND NOISE CRITICAL EXPONENTS IN THIN-FILMS NEAR THE METAL-INSULATOR PERCOLATION TRANSITION [J].
OCTAVIO, M ;
GUTIERREZ, G ;
APONTE, J .
PHYSICAL REVIEW B, 1987, 36 (04) :2461-2464
[26]   DEPENDENCE OF 1/F NOISE ON DEFECTS INDUCED IN COPPER-FILMS BY ELECTRON-IRRADIATION [J].
PELZ, J ;
CLARKE, J .
PHYSICAL REVIEW LETTERS, 1985, 55 (07) :738-741
[27]  
Penfield P., 1970, TELLEGENS THEOREM EL
[28]   ELECTRICAL-CONDUCTION MECHANISMS IN POLYMER-COPPER-PARTICLE COMPOSITES .2. (1/F)-NOISE MEASUREMENTS IN THE PERCOLATION LIMIT [J].
PIERRE, C ;
DELTOUR, R ;
VAN BENTUM, PJM ;
PERENBOOM, JAAJ ;
RAMMAL, R .
PHYSICAL REVIEW B, 1990, 42 (06) :3386-3394
[29]  
PIKE GE, 1978, AIP C P, V40, P366
[30]   TRANSPORT PHENOMENA IN POLYMER-GRAPHITE COMPOSITE-MATERIALS [J].
QUIVY, A ;
DELTOUR, R ;
JANSEN, AGM ;
WYDER, P .
PHYSICAL REVIEW B, 1989, 39 (02) :1026-1030