Discrete phase modeling utilizes a finite element framework with a Landau-Devonshire type multi-well potential as a material subroutine to model domain evolution in ferroelectrics. The time-dependent Ginzburg-Landau equation with polarization as an order parameter governs evolution of polarization. In the discrete phase method, the domain wall width is not controlled by an adjustable parameter, the gradient energy term used in phase field models; rather, it is controlled by a balance between mechanical, structural, and electrostatic contributions to the free energy. The effect of this energy balance on the resulting domain wall width of 90° and 180° tetragonal domain walls is discussed and examples are presented.
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