Electrophysical properties of the rayleigh three-dimensional model

A new approach to solving the problem of conductivity of composites with a regular structure is suggested that provides a fundamental possibility of analyzing media with arbitrarily shaped inclusions. The conductivity, its derivatives with respect to both arguments, and the two-parameter function entering into the expression for the effective Hall constant are considered using the Rayleigh three-dimensional model, a periodic system with spherical inclusions, as an example. The results of the numerical analysis of general equations obtained in this way are represented in graphic form.