FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Analysis and computer implementation of the mathematical model of $180^{^\circ}$ domain structures formation in ferroelectrics |
E.M. Veselova |
2022, issue 2, P. 257-262 DOI: https://doi.org/10.47910/FEMJ202236 |
Abstract |
| The study is devoted to the theoretical analysis and numerical implementation of the 2D mathematical model of $180^{^\circ}$ ferroelectric domain structures formation within the framework of the Landau-Ginzburg-Devonshire thermodynamic approach supplemented by the Landau-Khalatnikov equation to express the polarization dynamics. The mathematical problem statement is formalized as an initial-boundary value problem for semilinear parabolic partial differential equation. A finite element implementation of the model is performed with the use of COMSOL Multiphysics platform. A series of computational experiments were conducted to visualize various configurations of ferroelectric domain structures. |
Keywords: reaction-diffusion system, Landau-Ginzburg-Devonshire-Khalatnikov model, finite elements method, ferroelectric domain structure |
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References |
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