Polarization kinetics in ferroelectrics with regard to fluctuations

Details Polarization kinetics in ferroelectrics with regard to fluctuations Polarization kinetics in ferroelectrics with regard to fluctuations

2004-05-06

arxiv.org/abs/cond-mat/0405124v2

Modelling and Simulation in Material Science and Engineering, Vol. 16 (2008) 065004

Physics

Condensed Matter

Statistical Mechanics

12 pages, 4 figure

Scientific paper

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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