TY - JOUR
T1 - Tunneling and nonuniversality in continuum percolation systems
AU - Grimaldi, C.
AU - Balberg, I.
PY - 2006
Y1 - 2006
N2 - The values obtained experimentally for the conductivity critical exponent in numerous percolation systems, in which the interparticle conduction is by tunneling, were found to be in the range of t0 and about t0+10, where t0 is the universal conductivity exponent. These latter values are, however, considerably smaller than those predicted by the available "one-dimensional"-like theory of tunneling percolation. In this Letter, we show that this long-standing discrepancy can be resolved by considering the more realistic "three-dimensional" model and the limited proximity to the percolation threshold in all the many available experimental studies.
AB - The values obtained experimentally for the conductivity critical exponent in numerous percolation systems, in which the interparticle conduction is by tunneling, were found to be in the range of t0 and about t0+10, where t0 is the universal conductivity exponent. These latter values are, however, considerably smaller than those predicted by the available "one-dimensional"-like theory of tunneling percolation. In this Letter, we show that this long-standing discrepancy can be resolved by considering the more realistic "three-dimensional" model and the limited proximity to the percolation threshold in all the many available experimental studies.
UR - http://www.scopus.com/inward/record.url?scp=33144473466&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.96.066602
DO - 10.1103/PhysRevLett.96.066602
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AN - SCOPUS:33144473466
SN - 0031-9007
VL - 96
JO - Physical Review Letters
JF - Physical Review Letters
IS - 6
M1 - 066602
ER -