NONLINEAR KINETIC PHENOMENA UNDER POLARIZATION IN SOLID DIELECTRICS

Abstract

Based on the methods of quasi-classical kinetic theory we have investigated the nonlinear kinetic phenomena during polarization of proton semiconductors and dielectrics (PSCD) in a wide range of temperatures (1-1500 K) and fields (100 kV/m-1000 MV/m), as well as in the radio frequency range (1 kHz-10 MHz). The influence of nonlinearities of the equations of the initial phenomenological model of dielectric relaxation (in PSCD-proton relaxation) on the mechanism of formation of space-charge polarization in solid dielectrics is studied. Using the solution of the system of Fokker-Planck and Poisson equations (for the blocking electrodes model) we have constructed recurrence formulas, which allow one, in any approximation of perturbation theory, to calculate the complex amplitudes of the relaxation modes generated at arbitrary multiple fundamental frequencies of the variable (alternating) field. The influence of high nonlinearities (from the third order) by the polarizing field on the dielectric polarization is analyzed, which is important in the range of strong fields (10 MV/m-1000 MV/m) and ultra-low temperatures (1-10 К).