Exactly solvable model of the ferroelectrics hysteresis loops control by the external electric field

TL;DR

This paper presents an exactly solvable kinetic model for ferroelectric hysteresis loops influenced by external electric fields, providing analytical solutions and numerical validation against experimental data.

Contribution

It introduces a novel analytical approach to describe ferroelectric hysteresis under arbitrary electric fields, advancing understanding of switching processes.

Findings

Exact analytical solutions for hysteresis loops

Numerical results match experimental data

Connection established between field parameters and hysteresis shape

Abstract

The kinetic theory of switching processes in crystalline ferroelectric materials under the influence of a variable external electric field is formulated. The basic equations are derived and their exact analytical solution at arbitrary time-dependent external field are obtained. Connection between the hysteresis loops shape and variable external electric field parameters is investigated numerically. The numerical results were found to be in excellent agreement with the experiments. PACS: 77.80.Fm, 77.80.Dj, 77.80.-e Keywords: ferroelectrics, switching processes, hysteresis curves, polarization