Tunneling and Non-Universality in Continuum Percolation Systems
Disordered Systems and Neural Networks
2009-11-11 v2 Statistical Mechanics
Abstract
The values obtained experimentally for the conductivity critical exponent in numerous percolation systems, in which the interparticle conduction is by tunnelling, 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
Keywords
Cite
@article{arxiv.cond-mat/0602463,
title = {Tunneling and Non-Universality in Continuum Percolation Systems},
author = {C. Grimaldi and I. Balberg},
journal= {arXiv preprint arXiv:cond-mat/0602463},
year = {2009}
}
Comments
4 pages, 2 figures