Abstract

The temperature and composition dependence of the barrier-controlled conductivity of two-phase composites is analysed reducing the problem to that of the site-bond percolation. It is shown that the critical barrier height depends on the volume fraction φ of the conducting phase, this giving rise to a specific φ-dependence of the activation energy of the conductivity near the percolation threshold. Approximate relations suggested for the phase boundary function of the site-bond problem make it possible to evaluate the distribution of inter-grain barrier characteristics from the measurements of the temperature and composition dependence of the conductivity near the percolation threshold.

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