Tunneling and Nonuniversality in Continuum Percolation Systems
- 14 February 2006
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 96 (6), 066602
- https://doi.org/10.1103/physrevlett.96.066602
Abstract
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 and about , where 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.
Other Versions
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