Size-Dependent Switching in Thin Ferroelectric Films: Mathematical Aspects and Finite Element Simulation

The paper is devoted to the theoretical analysis and numerical implementation of a mathematical model of a nonlinear reaction–diffusion system on the COMSOL Multiphysics platform. The applied problem of the computer simulation of polarization switching in thin ferroelectric films is considered. The...

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Bibliographic Details
Published in:Computation 2023-01, Vol.11 (1), p.14
Main Authors: Veselova, Elena, Maslovskaya, Anna, Chebotarev, Alexander
Format: Article
Language:English
Subjects:
Banach spaces
Barium titanates
Boundary value problems
Cauchy problems
Computer simulation
Electric fields
ferroelectric hysteresis
Ferroelectric materials
Ferroelectricity
Ferroelectrics
Finite element method
finite elements method
Fluid mechanics
Landau–Ginzburg–Devonshire–Khalatnikov model
Mathematical functions
Mathematical models
Numerical analysis
Parabolic differential equations
Partial differential equations
Phase transitions
Physics
Polarization
Propagation
Quantum field theory
reaction–diffusion system
Software
Switching
Thin films
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Summary:The paper is devoted to the theoretical analysis and numerical implementation of a mathematical model of a nonlinear reaction–diffusion system on the COMSOL Multiphysics platform. The applied problem of the computer simulation of polarization switching in thin ferroelectric films is considered. The model is based on the Landau–Ginzburg–Devonshire–Khalatnikov thermodynamic approach and formalized as an initial-boundary value problem for a semilinear parabolic partial differential equation. The theoretical foundations of the model were explained. The user interface design application was developed with COMSOL Multiphysics. A series of computational experiments was performed to study the ferroelectric hysteresis and temperature dependences of polarization on the example of a ferroelectric barium titanate film.
ISSN:2079-3197
2079-3197
DOI:10.3390/computation11010014