Convexity and exponent inequalities for conduction near percolation

Update item information
Publication Type Journal Article
School or College College of Science
Department Mathematics
Creator Golden, Kenneth M.
Title Convexity and exponent inequalities for conduction near percolation
Date 1990
Description The bulk conductivity o*(p) of the bond lattice in Zd 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 o*(p) (for this model) is convex in p near the percolation threshold pc, and that its critical exponent t obeys the inequalities 1 <_ t <_ 2 for d = 2 , 3 while 2 <_ t <_ 3 for d >_ 4. 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.
Type Text
Publisher American Physical Society
Volume 65
Issue 24
First Page 2923
Last Page 2926
Subject Lattice; Conductivity; Model
Language eng
Bibliographic Citation Golden, K. M. (1990). Convexity and exponent inequalities for conduction near percolation. Physical Review Letters, 65(24), 2923-6.
Rights Management (c) American Physical Society
Format Medium application/pdf
Format Extent 343,062 bytes
Identifier ir-main,5724
ARK ark:/87278/s6377t9g
Setname ir_uspace
Date Created 2012-06-13
Date Modified 2012-06-13
ID 706579
Reference URL https://collections.lib.utah.edu/ark:/87278/s6377t9g
Back to Search Results