Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films

DOI10.4208/cicp.OA-2020-0118zbMath1494.74076arXiv2003.00416OpenAlexW3047236465MaRDI QIDQ5163202

Ruotai Li, Qiang Du, Lei Zhang

Publication date: 3 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00416

zbMATH Keywords

finite difference methodpolarization switchingsemi-implicit time integrationFourier spectral methodminimum energy pathvariational phase field model

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Thin films (74K35) Finite difference methods applied to problems in solid mechanics (74S20) Spectral and related methods applied to problems in solid mechanics (74S25)

Cites Work

• Applications of semi-implicit Fourier-spectral method to phase field equations
• Global optimization-based dimer method for finding saddle points
• Transition pathways between defect patterns in confined nematic liquid crystals
• A constrained string method and its numerical analysis
• Optimization-based Shrinking Dimer Method for Finding Transition States
• The gentlest ascent dynamics
• An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models
• Shrinking Dimer Dynamics and Its Applications to Saddle Point Search
• Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films
• The phase field method for geometric moving interfaces and their numerical approximations
• High-Index Optimization-Based Shrinking Dimer Method for Finding High-Index Saddle Points
• Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection

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