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arXiv 1109.6782cond-mat.mes-hall
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磁化动力学、旋磁关系和惯性效应

Magnetization Dynamics, Gyromagnetic Relation, and Inertial Effects

J. -E. Wegrowe, M. -C. Ciornei

摘要:

旋磁关系-即角动量$\vec L$(由惯性张量定义)和磁化强度$\vec M$之间的比例关系-是铁磁体的磁性和惯性之间密切联系的证据。然而,磁偶极子的动力学中不存在惯性(Landau-Lifshitz方程、Gilbert方程和Bloch方程仅包含磁化强度对时间的一阶导数)。为了研究这种矛盾的情况,拉格朗日方法(最初由T。H. Gilbert)在保持任意非零惯性张量的情况下重新讨论。得到了一个推广到惯性区的动力学方程。它示出了如何通常的旋磁关系和著名的朗道-Lifshitz-吉尔伯特方程恢复在动力学极限,即时间尺度以上的角动量的弛豫时间$τ$。

英文摘要:

The gyromagnetic relation - i.e. the proportionality between the angular momentum $\vec L$ (defined by an inertial tensor) and the magnetization $\vec M$ - is evidence of the intimate connections between the magnetic properties and the inertial properties of ferromagnetic bodies. However, inertia is absent from the dynamics of a magnetic dipole (the Landau-Lifshitz equation, the Gilbert equation and the Bloch equation contain only the first derivative of the magnetization with respect to time). In order to investigate this paradoxical situation, the lagrangian approach (proposed originally by T. H. Gilbert) is revisited keeping an arbitrary nonzero inertial tensor. A dynamic equation generalized to the inertial regime is obtained. It is shown how both the usual gyromagnetic relation and the well-known Landau-Lifshitz-Gilbert equation are recovered at the kinetic limit, i.e. for time scales above the relaxation time $τ$ of the angular momentum.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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