Landau-Lifshitz Equation of Ferromagnetism: Exact Treatment of the Gilbert Damping

M. Lakshmanan and K. Nakamura
Phys. Rev. Lett. 53, 2497 – Published 24 December 1984
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Abstract

In the Landau-Lifshitz equation which describes the evolution of spin fields in nonequilibrium continuum ferromagnets, by stereographic projection of the unit sphere of spin onto a complex plane, it is shown that the effect of the Landau-Lifshitz-Gilbert damping term is a mere rescaling of time by a complex constant. Consequently, for any given undamped motion of spatially regular and/or irregular spin structures, the nature of the damping can be analyzed exactly in a simplified manner.

  • Received 24 September 1984

DOI:https://doi.org/10.1103/PhysRevLett.53.2497

©1984 American Physical Society

Authors & Affiliations

M. Lakshmanan

  • Department of Physics, Bharathidasan University, Tiruchirapalli-620 023, India, and Department of Physics, Kyoto University, Kyoto 606, Japan

K. Nakamura

  • Fukuoka Institute of Technology, Higashi-ku, Fukuoka 811-02, Japan

Comments & Replies

Comment on "Landau-Lifshitz Equation of Ferromagnetism: Exact Treatment of the Gilbert Damping"

E. Magyari, H. Thomas, and R. Weber
Phys. Rev. Lett. 56, 1756 (1986)

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Vol. 53, Iss. 26 — 24 December 1984

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