Inertial Magnetization Dynamics in Ferromagnetic Nanoparticles Near Saturation

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Abstract

Analytical solutions of the inertial Landau‒Lifshitz‒Gilbert equation for the longitudinal and transverse components of the magnetization of a single-domain ferromagnetic nanoparticle under near-saturation conditions are obtained. The solution method is based on simplifying the equation using the first integrals, which are determined using the analogy between the inertial motion of magnetization and the mechanical rotation of a solid. It is shown that accounting for the magnetization inertia causes the nutation at a frequency represented by means of a complete elliptic integral of the first kind. The dependence of the nutation amplitude on the external field value is discussed.

About the authors

S. V. Titov

Institute of Radioengineering and Electronics, Fryazino Branch, Russian Academy of Sciences

Email: macherkasskii@hotmail.com
Fryazino, Moscow oblast, 141190 Russia

Yu. P. Kalmykov

University of Perpignan Via Domitia

Email: macherkasskii@hotmail.com
F-66860 Perpignan, France

K. D. Kazarinov

Institute of Radioengineering and Electronics, Fryazino Branch, Russian Academy of Sciences

Email: macherkasskii@hotmail.com
Fryazino, Moscow oblast, 141190 Russia

M. A. Cherkasskii

University of Duisburg-Essen

Email: macherkasskii@hotmail.com
Duisburg, 47057 Germany

A. S. Titov

Institute of Radioengineering and Electronics, Fryazino Branch, Russian Academy of Sciences

Author for correspondence.
Email: macherkasskii@hotmail.com
Fryazino, Moscow oblast, 141190 Russia

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Copyright (c) 2023 С.В. Титов, Ю.П. Калмыков, К.Д. Казаринов, М.А. Черкасский, А.С. Титов