Mathematical Models of Fernetoelectric Polarization Characteristics Described Within the Framework of the Landau - Ginzburg - Devonshier Theory

Abstract

The paper presents the overview and implementation of mathematical models of ferroelectric polarization characteristics within the framework of the Landau - Ginzburg theory. Mathematical models of polarization switching in ferroelectrics are formalized by means of several types of differential problems. Based on difference methods the computational schemes are constructed for various modifications of the Landau - Khalatnikov model. Numerical simulation of the polarization hysteresis in ferroelectrics with the first-order phase transition is performed. The computational results obtained in Matlab are compared with the experimental data.