@Article{CiCP-29-729,
author = {Li , RuotaiDu , Qiang and Zhang , Lei},
title = {Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films},
journal = {Communications in Computational Physics},
year = {2021},
volume = {29},
number = {3},
pages = {729--746},
abstract = {<p style="text-align: justify;">Phase field methods have been widely used to study phase transitions and
polarization switching in ferroelectric thin films. In this paper, we develop an efficient
numerical scheme for the variational phase field model based on variational forms of
the electrostatic energy and the relaxation dynamics of the polarization vector. The
spatial discretization combines the Fourier spectral method with the finite difference
method to handle three-dimensional mixed boundary conditions. It allows for an efficient semi-implicit discretization for the time integration of the relaxation dynamics.
This method avoids explicitly solving the electrostatic equilibrium equation (a Poisson equation) and eliminates the use of associated Lagrange multipliers. We present
several numerical examples including phase transitions and polarization switching
processes to demonstrate the effectiveness of the proposed method.</p>},
issn = {1991-7120},
doi = {https://doi.org/ 10.4208/cicp.OA-2020-0118},
url = {http://global-sci.org/intro/article_detail/cicp/18564.html}
}