Nonlinear dielectric relaxation of polar molecules with linear reaction dynamics in self-consistent field approximation

The nonlinear dielectric relaxation of polar molecules with annihilation reaction in the self-consistent field is studied according to the reaction–diffusion equation. The general nonlinear responses of three kinds of reaction systems, the noninteracting system, the polarizable system and the interacting system, are evaluated via the perturbation theory. In these three systems, the response is strongly dependent on the reaction dynamics due to the variation of the total number of polar molecules in the chemical reaction process. In particular, the analytic equations of nonlinear polarization and loss tangent in the noninteracting system and the polarizable system are also derived in the time-harmonic electric field. Diagrams of the distribution functions are presented showing the effect of the electric field, the rate constant, the anisotropic polarizability and the interaction between molecules.