Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii-Moriya interaction

DOI10.1016/J.CNSNS.2023.107512zbMath1528.35199arXiv2304.05789MaRDI QIDQ6058773

Unnamed Author, Jingrun Chen, Weiqing Ren, Shuting Gu, Panchi Li, Rui Du

Publication date: 1 November 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.05789

zbMATH Keywords

phase transitionsLandau-Lifshitz equationmagnetic skyrmionsmicromagnetics simulationsDzyaloshinkii-Moriya interaction

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Statistical mechanics of magnetic materials (82D40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Soliton solutions (35C08) Integro-partial differential equations (35R09) PDEs in connection with statistical mechanics (35Q82)

Cites Work

• Unnamed Item
• A survey on the numerics and computations for the Landau-Lifshitz equation of micromagnetism
• Second-order semi-implicit projection methods for micromagnetics simulations
• Computational micromagnetics with Commics
• Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism
• Optimal Error Analysis of Euler and Crank--Nicolson Projection Finite Difference Schemes for Landau--Lifshitz Equation
• Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction
• CONVERGENCE OF A FINITE ELEMENT DISCRETIZATION FOR THE LANDAU–LIFSHITZ EQUATIONS IN MICROMAGNETISM
• A Second-Order Semi-Implicit Method for the Inertial Landau-Lifshitz-Gilbert Equation
• A Gauss-Seidel projection method for micromagnetics simulations

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