CONVEXITY AND EXPONENT INEQUALITIES FOR CONDUCTION NEAR PERCOLATION

被引：27
作者：
GOLDEN, K
机构：
[1] Department of Mathematics, Princeton University, Princeton
来源：
PHYSICAL REVIEW LETTERS | 1990年 / 65卷 / 24期
关键词：
D O I：
10.1103/PhysRevLett.65.2923
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The bulk conductivity *(p) of the bond lattice in openZd with a fraction p of conducting bonds is analyzed. Assuming a hierarchical node-link-blob (NLB) model of the conducting backbone, it is shown that *(p) (for this model) is convex in p near the percolation threshold pc, and that its critical exponent t obeys the inequalities 1t2 for d=2,3, while 2t3 for d4. The upper bound t=2 in d=3, which is realizable in the NLB class, virtually coincides with two very recent numerical estimates obtained from simulation and series expansion. © 1990 The American Physical Society.
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页码：2923 / 2926
页数：4
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