Year: 2024
Type: article
Abstract: 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.
Source: IEEE Transactions on Magnetics
Authors: Kristjan Ottar Klausen, Snorri Ingvarsson
Institution: University of Iceland
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404848922