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Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
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Optimized Setup and Protocol for Magnetic Domain Imaging with In Situ Hysteresis Measurement
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A constraint-free phase field model for ferromagnetic domain evolution.

Min Yi1, Bai-Xiang Xu2

  • 1Mechanics of Functional Materials Division , Institute of Material Science , Technische Universität Darmstadt, Jovanka-Bontschits-Strasse 2, Darmstadt 64287, Germany ; School of Aeronautic Science and Engineering , Beijing University of Aeronautics and Astronautics , Xueyuan Road 37, Beijing 100191, People's Republic of China.

Proceedings. Mathematical, Physical, and Engineering Sciences
|November 11, 2014
PubMed
Summary

A new phase field model accurately simulates magnetic domain evolution in ferromagnetic materials. This constraint-free approach simplifies simulations and reduces computational load.

Keywords:
constraintcoupledproblemsdomain evolutionferromagnetic materialsphase field modelvortex

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Area of Science:

  • Materials Science
  • Computational Physics
  • Condensed Matter Physics

Background:

  • Simulating magnetic domain evolution in ferromagnetic materials is crucial for understanding their behavior.
  • Existing models often require complex numerical treatments to satisfy magnetization constraints.

Purpose of the Study:

  • To develop a continuum constraint-free phase field model for simulating magnetic domain evolution.
  • To simplify the simulation process and improve computational efficiency.

Main Methods:

  • The model uses polar and azimuthal angles as order parameters, avoiding the need for magnetization unit vectors.
  • A thermodynamic framework with a configurational force system was employed.
  • The model was implemented using a three-dimensional finite-element method.

Main Results:

  • The constraint-free model automatically satisfies magnetization magnitude constraints.
  • The model accurately reproduces damping-dependent switching dynamics, domain formation, and vortex evolution.
  • Calculated vortex magnetization components and motion align with experimental results.

Conclusions:

  • The proposed phase field model offers a thermodynamically consistent and computationally efficient approach to simulate magnetic phenomena.
  • This method simplifies implementation and reduces degrees of freedom in three-dimensional simulations.
  • The model's accuracy is validated by experimental data for vortex behavior.