Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films
| Autor: | Lei Zhang, Qiang Du, Ruotai Li |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
FOS: Computer and information sciences
Phase transition Materials science Condensed matter physics Applied Mathematics FOS: Physical sciences Computational Physics (physics.comp-ph) Electrostatics Polarization (waves) 01 natural sciences Ferroelectricity Computational Engineering Finance and Science (cs.CE) 010101 applied mathematics Electric field Ferroelectric thin films 0101 mathematics Computer Science - Computational Engineering Finance and Science Physics - Computational Physics |
| Zdroj: | SIAM Journal on Applied Mathematics. 80:1590-1606 |
| ISSN: | 1095-712X 0036-1399 |
| DOI: | 10.1137/19m1291431 |
| Popis: | Electric field plays an important role in ferroelectric phase transition. There have been numerous phase field formulations attempting to account for electrostatic interactions subject to different boundary conditions. In this paper, we develop new variational forms of the phase field electrostatic energy and the relaxation dynamics of the polarization vector that involves a hybrid representation in both real and Fourier variables. The new formulations avoid ambiguities appeared in earlier studies and lead to much more effective ways to perform variational studies and numerical simulations. Computations of polarization switching in a single domain by applying the new formulations are provided as illustrative examples. |
| Databáze: | OpenAIRE |
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