Abstract
A random-resistor model proposed recently for dispersed ionic conductors is generalized to study the effect of dispersed particle size on the conductivity of such composites. Monte Carlo calculations for two-dimensional systems are reported for square as well as rodlike particles of different size. It is found that the corresponding critical concentrations ${p}_{c}^{\ensuremath{'}}$ and ${p}_{c}^{\ensuremath{'}\ensuremath{'}}$, for interface percolation and the conductor-insulator transition, respectively, strongly depend on the size and shape of the dispersed particles. The generalized model thus offers the possibility of studying a variety of physical situations which are relevant to experiments.
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