Nonlinear Polarization Effects in Dielectrics with Hydrogen Bonds

V. A. Kalytka, M. V. Korovkin, A. D. Mekhtiyev, A. V. Yurchenko

Research output: Contribution to journalArticle

Abstract

Using quasiclassical kinetic theory, nonlinear phenomena under the formation of space-charge polarization in crystals with hydrogen bonds (HBC) are investigated. From the solution of the nonlinear system of Fokker-Planck and Poisson equations with blocking electrodes, it is established that for the mathematical description of the relaxation polarization in HBCs in weak fields (100-1000 kV/m) and at high temperatures (T> 350 K), it is sufficient to use a linear approximation of perturbation theory. Theoretically, it was found that at the first odd frequency of the alternating field, nonlinear effects caused by the interaction of relaxation modes of various frequency orders start to appear. The diffusion and mobility coefficients are calculated taking into account both mechanisms of the protons transitions (thermally activated and tunneling transitions) through a parabolic potential barrier. A recurrence expression is constructed for calculating complex amplitudes of relaxation modes generated at an arbitrary frequency (multiple to the fundamental frequency) of the alternating field in an arbitrary approximation of perturbation theory. The proposed scheme for solving the kinetic equation can be applied to other crystals with ionic conductivity similar to HBCs in the type and properties of the crystal lattice.

Original languageEnglish
Pages (from-to)757-769
Number of pages13
JournalRussian Physics Journal
Volume61
Issue number4
DOIs
Publication statusPublished - 1 Aug 2018

Fingerprint

hydrogen bonds
polarization
perturbation theory
Fokker-Planck equation
Poisson equation
kinetic theory
nonlinear systems
approximation
kinetic equations
crystal lattices
ion currents
crystals
space charge
diffusion coefficient
electrodes
protons
coefficients
interactions

Keywords

  • crystals with hydrogen bonds
  • nonlinear system of Fokker-Planck and Poisson equations
  • polarization frequency harmonics
  • proton relaxation and conductivity
  • proton semiconductors and dielectrics
  • relaxation modes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Nonlinear Polarization Effects in Dielectrics with Hydrogen Bonds. / Kalytka, V. A.; Korovkin, M. V.; Mekhtiyev, A. D.; Yurchenko, A. V.

In: Russian Physics Journal, Vol. 61, No. 4, 01.08.2018, p. 757-769.

Research output: Contribution to journalArticle

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