Conductivity exponents at the percolation threshold
Statistical Mechanics
2021-01-06 v6
Abstract
Connections are found between the two-component percolation problem and the conductor/insulator percolation problem. These produce relations between critical exponents, and suggest formulae connecting the conductivity exponents in different dimensions. Values for the critical exponents are obtained from calculations on the incipient infinite cluster in two and three dimensions.
Cite
@article{arxiv.1609.01229,
title = {Conductivity exponents at the percolation threshold},
author = {Clinton DeW. Van Siclen},
journal= {arXiv preprint arXiv:1609.01229},
year = {2021}
}
Comments
11 pages, added appendix