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Combining micromagnetism and magnetostatic Maxwell equations for multiscale magnetic simulations
Florian Bruckner1, Christoph Vogler, Bernhard Bergmair
1Vienna University of Technology, Institute of Solid State Physics, Austria.
Journal of Magnetism and Magnetic Materials
|October 5, 2013
Summary
This study introduces a multiscale method combining magnetostatic Maxwell equations and the Landau-Lifshitz-Gilbert (LLG) equation for larger micromagnetic simulations. This approach accurately models magnetization dynamics in microscopic regions while averaging macroscopic areas.
Area of Science:
- Computational physics and materials science.
- Multiscale modeling of magnetic phenomena.
Background:
- Traditional micromagnetic simulations face limitations in problem size.
- Accurate modeling of magnetization dynamics and domain formation is crucial.
Purpose of the Study:
- To develop a multiscale method for extending the scope of micromagnetic simulations.
- To integrate macroscopic and microscopic descriptions of magnetic systems.
Main Methods:
- Combining magnetostatic Maxwell equations for macroscopic regions with the Landau-Lifshitz-Gilbert (LLG) equation for microscopic regions.
- Coupling macroscopic and microscopic regions via strayfield interactions.
- Employing an optimized time integration scheme for the combined system.
Main Results:
- Successfully extended the problem size of micromagnetic simulations.
- Enabled averaged, stationary treatment of macroscopic regions.
- Provided accurate description of domain formation and magnetization dynamics in microscopic subregions.
Conclusions:
- The developed multiscale method offers a powerful approach for large-scale micromagnetic simulations.
- This method enhances the accuracy and efficiency of modeling complex magnetic behaviors.
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