Polarization kinetics in ferroelectrics with regard to fluctuations

J. Kaupuzs; J. Rimshans; N. F. Smyth

doi:10.1088/0965-0393/16/6/065004

Polarization kinetics in ferroelectrics with regard to fluctuations

J. Kaupuzs, J. Rimshans, N. F. Smyth

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Polarization in ferroelectrics, described by the Landau-Ginzburg Hamiltonian, is considered, based on a multi-dimensional Fokker-Planck equation. This formulation describes the time evolution of the probability distribution function over the polarization field configurations in the presence of a time-dependent external field. The Fokker-Planck equation in a Fourier representation is obtained, which can then be solved numerically for a finite number of modes. Calculation results are presented for one and three modes. These results show the hysteresis of the mean polarization as well as that of the mean squared gradient of the polarization.

Original language	English
Article number	065004
Pages (from-to)	-
Number of pages	10
Journal	Modelling and simulation in materials science and engineering
Volume	16
Issue number	6
DOIs	https://doi.org/10.1088/0965-0393/16/6/065004
Publication status	Published - Sept 2008

Keywords / Materials (for Non-textual outputs)

COMPUTATIONAL MODEL
SYSTEMS
SIMULATIONS
EVOLUTION
DOMAINS
SIZE

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10.1088/0965-0393/16/6/065004

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title = "Polarization kinetics in ferroelectrics with regard to fluctuations",

abstract = "Polarization in ferroelectrics, described by the Landau-Ginzburg Hamiltonian, is considered, based on a multi-dimensional Fokker-Planck equation. This formulation describes the time evolution of the probability distribution function over the polarization field configurations in the presence of a time-dependent external field. The Fokker-Planck equation in a Fourier representation is obtained, which can then be solved numerically for a finite number of modes. Calculation results are presented for one and three modes. These results show the hysteresis of the mean polarization as well as that of the mean squared gradient of the polarization.",

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AU - Kaupuzs, J.

AU - Rimshans, J.

AU - Smyth, N. F.

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Y1 - 2008/9

N2 - Polarization in ferroelectrics, described by the Landau-Ginzburg Hamiltonian, is considered, based on a multi-dimensional Fokker-Planck equation. This formulation describes the time evolution of the probability distribution function over the polarization field configurations in the presence of a time-dependent external field. The Fokker-Planck equation in a Fourier representation is obtained, which can then be solved numerically for a finite number of modes. Calculation results are presented for one and three modes. These results show the hysteresis of the mean polarization as well as that of the mean squared gradient of the polarization.

AB - Polarization in ferroelectrics, described by the Landau-Ginzburg Hamiltonian, is considered, based on a multi-dimensional Fokker-Planck equation. This formulation describes the time evolution of the probability distribution function over the polarization field configurations in the presence of a time-dependent external field. The Fokker-Planck equation in a Fourier representation is obtained, which can then be solved numerically for a finite number of modes. Calculation results are presented for one and three modes. These results show the hysteresis of the mean polarization as well as that of the mean squared gradient of the polarization.

KW - COMPUTATIONAL MODEL

KW - SYSTEMS

KW - SIMULATIONS

KW - EVOLUTION

KW - DOMAINS

KW - SIZE

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JO - Modelling and simulation in materials science and engineering

JF - Modelling and simulation in materials science and engineering

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ER -

Polarization kinetics in ferroelectrics with regard to fluctuations

Abstract

Keywords / Materials (for Non-textual outputs)

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