Geodesic
Hybrid stochastic fractal-based approach to modelling ferroelectrics switching kinetics in injection mode
Matematičeskoe modelirovanie, Tome 31 (2019) no. 9, pp. 131-144

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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. 
@article{MM_2019_31_9_a6,
     author = {L. I. Moroz and A. G. Maslovskaya},
     title = {Hybrid stochastic fractal-based approach to modelling ferroelectrics switching kinetics in injection mode},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {131--144},
     publisher = {mathdoc},
     volume = {31},
     number = {9},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2019_31_9_a6/}
}
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L. I. Moroz; A. G. Maslovskaya. Hybrid stochastic fractal-based approach to modelling ferroelectrics switching kinetics in injection mode. Matematičeskoe modelirovanie, Tome 31 (2019) no. 9, pp. 131-144. http://geodesic.mathdoc.fr/item/MM_2019_31_9_a6/