Model of the conductivity of a composite material on a dielectric matrix and a conductive filler

The temperature dependence of the conductivity of a composite material with a conductive filler and dielectric matrix is calculated in this work. A qualitative model of conductivity is obtained depending on such parameters as the coefficient of linear expansion, distances between particles, particle sizes, and the difference between the Fermi energy in the conductor and the bottom of the conduction band in the dielectric. Also in this paper, a formula for the probability of a particle passing through a potential rectangular barrier is derived.