Flory theory for conductivity of random resistor networks
- 1 January 1985
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 46 (1) , 9-12
- https://doi.org/10.1051/jphyslet:019850046010900
Abstract
We develop a Flory theory for the problem of conductivity in a d-dimensional random resistor network. We find that the conductivity exponent t is related to the fractal dimensionality df according to the Alexander-Orbach conjecture t = d - 2 + df/2, where consistently with Flory theory df = (d + 2)/2 for percolation and df = 2(d + 2)/5 for lattice animals. The results are in excellent agreement with the numerical estimates of t for percolation and in fair agreement for lattice animalsKeywords
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