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Simulation of the Surface Structure of Ferroelectric Thin Films

  • Olga G. Maksimova
  • Tatiana O. PetrovaEmail author
  • Victor A. Eremeyev
  • Vladislav I. Egorov
  • Alexandr R. Baidganov
  • Olga S. Baruzdina
  • Andrei V. Maksimov
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 109)

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.

Notes

Acknowledgements

The work is performed within the framework of the project “Methods of microstructural nonlinear analysis, wave dynamics and mechanics of composites for research and design of modern metamaterials and elements of structures made on its base” (grant No. 15-19-10008-P of by the Russian Science Foundation).

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Olga G. Maksimova
    • 1
  • Tatiana O. Petrova
    • 2
    Email author
  • Victor A. Eremeyev
    • 2
  • Vladislav I. Egorov
    • 1
  • Alexandr R. Baidganov
    • 1
  • Olga S. Baruzdina
    • 1
  • Andrei V. Maksimov
    • 1
  1. 1.Cherepovets State UniversityCherepovetsRussian Federation
  2. 2.Southern Federal UniversityRostov-on-DonRussian Federation

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