NONLINEAR ELECTRODYNAMICS OF FRACTAL STRUCTURE

摘要

Nonlinear effects in the two-component medium with conductivities sigma(1) (metal) and sigma(2) (insulator) near the percolations threshold is studied. For the medium having cubic nonlinearity an effective nonlinear conductivity a(e) and correlation functions of the electrical field (e(4)) and current (J(4)) have been studied as functions of parameters h = sigma(2)/sigma(1). It is shown that the conductivity a(e) and correlators at the percolation threshold grow as a(e) similar to h(-w), (e(4))similar to h(-gamma,) (J(4))similar to h(-zeta) for h much less than 1. Dykhne's relations are used to derive important inequalities for the a, and critical exponents. The nonlinear conductivity, correlators and corresponding critical exponents have been determined by numerical calculations. [References: 11]