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A Consistent Computation of Magnetization Reversal under a Circularly Polarized Field and an Anisotropy Field

Chein-Shan Liu1
Department of Mechanical and Mechatronic Engineering, Taiwan Ocean University, Keelung, Taiwan. E-mail:

Computers, Materials & Continua 2007, 6(2), 117-128.


In this paper the Landau-Lifshitz equation is subjected to a circularly polarized field in the plane, as well as both a dc field and an anisotropy field along the vertical easy axis perpendicular to the plane. The representation of Landau-Lifshitz equation in the Minkowski space is a Lie-type system. By performing a computation through the Lie-group solvers we can develop a consistent numerical method, which satisfies the consistency condition exactly, and thus can retain the invariant behavior. Then, we use the consistent numerical method to investigate the magnetization reversal, whose switching criterion is displayed through the minimum curve of the vertical magnetization component as a function of exciting frequency. When the anisotropy field is considered, the minimum curve may exhibit a discontinuity between reversal magnetization range and non-reversal magnetization range. Without exception, when the exciting frequency of the circularly polarized field is high, the magnetization reversal will not occur.


Landau-Lifshitz equation, Magnetization reversal, Consistency condition, Consistent numerical method, Lie-type system, Lie-group solver

Cite This Article

. and . , "A consistent computation of magnetization reversal under a circularly polarized field and an anisotropy field," Computers, Materials & Continua, vol. 6, no.2, pp. 117–128, 2007.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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