Landau-Lifshitz-Gilbert方程的旋量几何表达式

IF 2.1 3区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Transactions on Magnetics Pub Date : 2024-11-29 DOI:10.1109/TMAG.2024.3509214

Kristjan Ottar Klausen;Snorri Ingvarsson

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引用次数: 0

摘要

利用三维空间的实数Clifford代数（几何代数）将磁化动力学的Landau-Lifshitz-Gilbert （LLG）方程转化为旋量形式。我们展示了如何明确地解决无阻尼情况，以获得具有明确几何意义的组件解决方案。对包括阻尼在内的方法进行了推广。简要讨论了磁化矢量轴向特性的含义。

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Spinor Formulation of the Landau–Lifshitz–Gilbert Equation With Geometric Algebra

The Landau–Lifshitz–Gilbert (LLG) equation for magnetization dynamics is recast into spinor form using the real-valued Clifford algebra (geometric algebra) of three-space. We show how the undamped case can be explicitly solved to obtain componentwise solutions, with clear geometrical meaning. Generalizations of the approach to include damping are formulated. The implications of the axial property of the magnetization vector are briefly discussed.

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来源期刊

IEEE Transactions on Magnetics 工程技术-工程：电子与电气

CiteScore

4.00

自引率

14.30%

发文量

565

审稿时长

4.1 months

期刊介绍： Science and technology related to the basic physics and engineering of magnetism, magnetic materials, applied magnetics, magnetic devices, and magnetic data storage. The IEEE Transactions on Magnetics publishes scholarly articles of archival value as well as tutorial expositions and critical reviews of classical subjects and topics of current interest.