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On Anti-Plane Surface Waves Considering Highly Anisotropic Surface Elasticity Constitutive Relations Read chapter Read first chapter

2019 | OriginalPaper | Chapter

Simulation of the Surface Structure of Ferroelectric Thin Films

Authors : Olga G. Maksimova, Tatiana O. Petrova, Victor A. Eremeyev, Vladislav I. Egorov, Alexandr R. Baidganov, Olga S. Baruzdina, Andrei V. Maksimov

Published in: Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials

Publisher: Springer International Publishing

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Abstract

Metropolis and Wang-Landau algorithms are described and illustrated on the base two-dimensional Ising model. The influence of the ferroelectric film thickness and the depolarizing field on the spontaneous polarization and the order parameter of the film has been investigated by means of the Monte-Carlo method. Dependences of the polarization of the thin film on the temperature are calculated at different values of its thickness and the potential well depth of the Lennard-Jones potential. To investigate the geometrical and optical properties of textured coatings the anisotropic three-dimensional model based on the fractal plurality of Julia is used. The developed method allows to determine the values of the model parameters for a number of coating samples of steel sheet obtained under different conditions of their formation. The fractal dimension of the objects obtained on the base of this model is determined.

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previous chapter An Experimental Model of the Acoustic Wave Propagation Through a Cascading Triple-Periodic Array of Cylindrical Holes
next chapter Diffraction of the High-Frequency Waves by Arrays of Obstacles in the Two-Dimensional Elastic Medium, with Multiple Reflections and Transformations
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Metadata
Title
Simulation of the Surface Structure of Ferroelectric Thin Films
Authors
Olga G. Maksimova
Tatiana O. Petrova
Victor A. Eremeyev
Vladislav I. Egorov
Alexandr R. Baidganov
Olga S. Baruzdina
Andrei V. Maksimov
Copyright Year
2019
Book
Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials

Print ISBN: 978-3-030-17469-9

Electronic ISBN: 978-3-030-17470-5

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-17470-5_4