Equivalent circuit and simulations for the Landau-Khalatnikov model of ferroelectric hysteresis

摘要

We present the circuit equivalent of the Landau-Khalatnikov dynamical ferroelectric model. The differential equation for hysteretic behavior is subject to numerical computer simulations. The size and shape of the simulated hysteretic loops depend strongly on the frequency and the amplitude of the driving electric field. In previous experiments, this dependence made extraction of the coercive field rather difficult. An alternative experimental method for the determination of the coercive field is here suggested. We also develop in detail the dynamics of bifurcation of a driven Landau-Khalatnikov ferroelectric.