For citation:
Kamyshlov V. V., Bystrov V. S. Аnalytical research of nonlinear properties of ferroelectrics. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 2, pp. 77-94. DOI: 10.18500/0869-6632-2014-22-2-77-94
Аnalytical research of nonlinear properties of ferroelectrics
This paper describes a method to obtain an analytical expression for the nonlinear dependence of the ferroelectric polarization on the external electric field. To find analytical dependence, used a special Kml-function of second order. Listed structure built of series and groups of series representing Kml-function at any point in the complex plane. Analyzed domain of convergence of series , received as a boundary condition. To show the application of the method, as an example used a ferroelectric polymer polyvinylidene fluoride (PVDF–TrFE ). The proposed method can be used for any other ferroelectric or nonlinear systems ordered in the neighborhood of phase transitions under various external influences.
- Strukov BA, Levanyuk AP. The physical foundations of ferroelectric phenomena in crystals. Moscow: Nauka, Fizmatlit; 1995. 304 p. (In Russian).
- Bystrov VS, Bystrova NK, Paramonova EV, Sapronova AV. Computational nano-structures and physical properties of the ultra-thin ferroelectric Langmuir–Blodgett films. Ferroelectrics Letters. 2006;33(5-6):153–162. DOI:10.1080/07315170601015114
- Bystrov VS, Bystrova NK, Paramonova EV, Vizdrik G, Sapronova AV, Kuehn M, Kliem H, Kholkin AL. First-principles calculations of molecular polarization switching in P(VDF-TrFE) ferroelectric thin Langmuir-Blodgett films. J. Phys. D: Condens.Matter. 2007;19(45):456210. DOI: 10.1088/0953-8984/19/45/456210.
- Kravchenko FG. Elementary Kml functions and their properties. Computational and applied mathematics. Mezhved. nauch. sbornik. Kiev. 1970;2:171.
- Bystrov VS, Kamyshlov VV. Analytical method for the study of characteristic equations. Electronic journal "Issledovano v Rossii". 2006;194:1825. http://zhurnal.ape.relarn.ru/articles/2006/194.pdf
- Kravchenko FG, Kamyshlov VV. Formal operations on analytical function elements. Electronic journal "Issledovano v Rossii". 2006.;195:1835. http://zhurnal.ape.relarn.ru/articles/2006/195.pdf
- Blinov LM, Fridkin VM, Palto SM. et al. Two-dimensional ferroelectrics. Phys. Usp. 2000;43(3):243–257.
- 1922 reads