Modeling of ferroelectrics based on the Fokker-Planck equation and construction of a closed system of moment equations

The paper considers the modeling of uniaxial ionic ferroelectrics based on the Fokker-Planck equation. The equation is solved numerically using the stochastic analogue method. To describe the quasi-equilibrium state of a ferroelectric, a system of moments is constructed, which is closed using the Gaussian distribution and empirical dependence of critical temperature on key parameters. It is shown that the resulting system gives acceptable results on the problem of temperature hysteresis.