Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films

DOI10.1137/19M1291431zbMath1447.78019arXiv1910.05709OpenAlexW3039462907MaRDI QIDQ3298131

Qiang Du, Ruotai Li, Lei Zhang

Publication date: 21 July 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05709

zbMATH Keywords

electric fieldphase transitionferroelectricpolarization switchingphase fieldrare event

Mathematics Subject Classification ID

Dynamical systems in solid mechanics (37N15) Phase transformations in solids (74N99) Statistical mechanics of ferroelectrics (82D45) Applications to the sciences (65Z05) Variational principles of physics (49S05) Variational methods applied to problems in optics and electromagnetic theory (78M30) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (2)

Searching the solution landscape by generalized high-index saddle dynamics ⋮ Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films

Cites Work

• Diffuse-interface approach to predicting morphologies of critical nucleus and equilibrium structure for cubic to tetragonal transformations
• Continuum thermodynamics of ferroelectric domain evolution: theory, finite element implementation, and application to domain wall pinning
• Applications of semi-implicit Fourier-spectral method to phase field equations
• A constrained string method and its numerical analysis
• Optimization-based Shrinking Dimer Method for Finding Transition States
• The polarization in a ferroelectric thin film: local and nonlocal limit problems
• Shrinking Dimer Dynamics and Its Applications to Saddle Point Search
• Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
• Minimum action method for the study of rare events
• Convergence and Cycling in Walker-type Saddle Search Algorithms

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