Numerical simulation of polarization switching kinetics in ferroelectrics based on fractional Kolmogorov – Avrami model

Abstract

The Kolmogorov – Avrami theory of crystallization is widely used for simulation of polarization switching kinetics in ferroelectrics. In the present study, a fractional modification of the Kolmogorov – Avrami model is examined in view of the application to polarization switching current in ferroelectrics. The approach is based on the numerical calculation of the Caputo fractional derivative with respect to the time-dependent function relating to the switching transients. The results of computational experiments are demonstrated with variation of both the parameters of domain growth and the order of time-fractional derivative. A comparison of the simulation results with experimental data and the corresponding statistical estimates are also carried out.