# Polarization kinetics in ferroelectrics with regard to fluctuations

Source: [Polarization kinetics in ferroelectrics with regard to fluctuations](<https://www.sota2.com/research/paper/68fa31ba1e209131ce881660>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T03:35:51.468Z

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

Published: 2004-05-06T17:24:27.000Z

## 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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0405124>)

[PDF](<https://arxiv.org/pdf/cond-mat/0405124.pdf>)