MATHEMATICAL MODELS OF FERNETOELECTRIC POLARIZATION CHARACTERISTICS DESCRIBED WITHIN THE FRAMEWORK OF THE LANDAU - GINZBURG - DEVONSHIER THEORY | Zendy

Lubov Moroz | Zendy; Anna Maslovskaya | Zendy

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MATHEMATICAL MODELS OF FERNETOELECTRIC POLARIZATION CHARACTERISTICS DESCRIBED WITHIN THE FRAMEWORK OF THE LANDAU - GINZBURG - DEVONSHIER THEORY

Author(s) -

Lubov Moroz,

Anna Maslovskaya

Publication year - 2021

Publication title -

messenger amsu

Language(s) - English

Resource type - Journals

ISSN - 2073-0268

DOI - 10.22250/jasu.95.2

Subject(s) - polarization (electrochemistry) , ginzburg–landau theory , landau theory , statistical physics , matlab , ferroelectricity , phase transition , computer science , differential equation , physics , condensed matter physics , quantum mechanics , superconductivity , chemistry , dielectric , operating system

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.

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