Ferroelectric phase field models based on the Ginzburg–Landau–Devonshire theory are characterized by a large number of material parameters with problematic physical interpretation. In this study, we systematically address the relationship between these parameters and the main properties of ferroelectric domain walls. A variational approach is used to derive closed form solutions for the polarization fields at the phase transition regions as well as for the propagation velocities of the domain walls. Introducing a modified set of material parameters, which appropriately scales different contributions to the free energy, we are able to accurately calibrate these parameters based on domain wall thickness and energy of both 180\(^\circ \) and 90\(^\circ \) domain walls. Moreover, the mobility parameter appearing in the Ginzburg–Landau evolution equation can be accurately calibrated based on the propagation velocity of the domain walls.

基于Ginzburg-Landau-Devonshire理论的铁电相场模型的特征在于，大量的材料参数具有难以解释的物理解释。在这项研究中，我们系统地解决了这些参数与铁电畴壁主要特性之间的关系。使用变分方法来导出相变区域的极化场以及畴壁的传播速度的封闭形式解。引入一组修改后的材料参数，可以适当地缩放对自由能的不同贡献，我们能够基于畴壁厚度和180 \（^ \ circ \）和90 \（^ \ circ两者的能量来准确地校准这些参数\）域墙。此外，可以根据畴壁的传播速度准确地校准出现在Ginzburg-Landau演化方程中的迁移率参数。