Divergence of the bulk resistance at criticality in disordered media |
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| Authors: | Yu Zhang |
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| Institution: | (1) Department of Mathematics, University of Colorado, 80933 Colorado Springs, Colorado |
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| Abstract: | Consider the electrical resistancer
n
(p) of a hypercubic bond lattice O,n]
d
inZ
d
, where the bonds have resistance 1 with probabilityp or  with probability 1-p. Letp
n
(p)=n
2-d
r
n
(p) andp(p)=limn pn(p). It is well known thatp(p)< ifp>p
c
andp(p)= ifp<p
c
, wherep
c
is the percolation threshold. Here we show thatp(p
c
)=, and
. |
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| Keywords: | Bulk resistance criticality |
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