This article is cited in 12 papers

Hybrid stochastic fractal-based approach to modelling ferroelectrics switching kinetics in injection mode

L. I. Moroz, A. G. Maslovskaya

Amur State University

Abstract: The paper is devoted to development and implementation of hybrid stochastic fractalbased approach to mathematical modeling electron-induced kinetics of ferroelectrics polarization switching as the self-similar memory physical systems. The mathematical model of fractal dynamic system includes an initial value problem for the fractional order differential equation. Computational schemes for solving fractional differential problem were constructed using Adams–Bashforth–Moulton type predictor-corrector methods. The stochastic algorithm based on Monte-Carlo method was proposed to simulate the domain nucleation process during restructuring domain structure in ferroelectrics. The ferroelectrics polarization switching current in electron injection mode was evaluated to demonstrate computational experiment results with comparison of experimental data.

Keywords: fractal model, ferroelectric switching, Monte-Carlo method, fractional-order differential equation, “predictor-corrector” method.

Received: 18.03.2019
Revised: 18.03.2019
Accepted: 20.05.2019

DOI: 10.1134/S0234087919090077

 English version: Mathematical Models and Computer Simulations, 2020, 12:3, 348–356

Bibliographic databases:

•