Fractal model of polarization switching kinetics in ferroelectrics under nonequilibrium conditions of electron irradiation

The paper presents the results of the fractal and multifractal analysis of polarization switching current in ferroelectrics under electron irradiation, which allows statistical memory effects to be estimated at dynamics of domain structure. The mathematical model of formation of electron beam-induce...

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Bibliographic Details
Published in:Journal of physics. Conference series 2018-03, Vol.973 (1), p.12038
Main Authors: Maslovskaya, A G, Barabash, T K
Format: Article
Language:English
Subjects:
Differential equations
Domains
Electron beams
Electron irradiation
Ferroelectric materials
Ferroelectricity
Ferroelectrics
Fractal analysis
Fractal models
Fractals
Induced polarization
Nonequilibrium conditions
Physics
Switching
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Summary:The paper presents the results of the fractal and multifractal analysis of polarization switching current in ferroelectrics under electron irradiation, which allows statistical memory effects to be estimated at dynamics of domain structure. The mathematical model of formation of electron beam-induced polarization current in ferroelectrics was suggested taking into account the fractal nature of domain structure dynamics. In order to realize the model the computational scheme was constructed using the numerical solution approximation of fractional differential equation. Evidences of electron beam-induced polarization switching process in ferroelectrics were specified at a variation of control model parameters.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/973/1/012038