Limits on the continuum-percolation transport exponents

Abstract

The many experimental data that have been accumulated for the critical resistance exponent, $t,$ and the relative resistance noise exponent, κ, in percolation systems, are generally in disagreement with the original predictions of the random void and the inverted random void models of continuum percolation. In this paper we show that by allowing a nonrandom distribution of the voids (or the particles) in these models, one can account for all the experimental data. In particular, we show that, except for the two-dimensional inverted random void system, the exponent $t$ may have any value larger than its universal value, while the $\kappa /t$ ratio will be bound.