Partial moments of electric field strength in the problem of conductivity of binary composites: Numerical experiment on a plane disordered lattice

Partial (calculated by the volume of separate components) moments of electric field strength of different orders are calculated within a linear problem on the electric conductivity of binary composites. A numerical experiment is carried out on a square lattice with a size of 401 ×401 sites with randomly distributed bonds. The moments (of orders n = 2, 3,…, 6) are calculated as a function of concentration for a number of fixed values of the parameter h—the ratio of the conductivities of the components. The behavior of partial moments near the metal-dielectric phase-transition point is studied, and the corresponding critical indices are determined.