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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Landau–Lifshitz–Gilbert equation ： ウィキペディア英語版 Landau–Lifshitz–Gilbert equation In physics, the Landau–Lifshitz–Gilbert equation, named for Lev Landau and Evgeny Lifshitz and T. L. Gilbert, is a name used for a differential equation describing the precessional motion of magnetization in a solid. It is a modification by Gilbert of the original equation of Landau and Lifshitz. The various forms of the equation are commonly used in micromagnetics to model the effects of a magnetic field on ferromagnetic materials. In particular it can be used to model the time domain behavior of magnetic elements due to a magnetic field. An additional term was added to the equation to describe the effect of spin polarized current on magnets.〔http://wpage.unina.it/mdaquino/PhD_thesis/main/node47.html〕 ==Landau-Lifshitz equation== In a ferromagnet, the magnetization can vary internally but at each point its magnitude is equal to the saturation magnetization . The Landau–Lifshitz–Gilbert equation predicts the rotation of the magnetization in response to torques. An earlier, but equivalent, equation (the Landau-Lifshitz equation) was introduced by : = -\gamma \mathbf \times \mathbf \times \left(\mathbf \times \mathbf\right)|}} where is the electron gyromagnetic ratio. and is a phenomenological damping parameter, often replaced by :$\backslash lambda\; =\; \backslash alpha\backslash frac\{M\_\backslash mathrm\{s\}\},$ where is a dimensionless constant called the damping factor. The effective field is a combination of the external magnetic field, the ''demagnetizing field'' (magnetic field due to the magnetization), and some quantum mechanical effects. To solve this equation, additional equations for the demagnetizing field must be included. Using the methods of irreversible statistical mechanics, numerous authors have independently obtained the Landau-Lifshitz equation.〔T. Iwata, J. Magn. Magn. Mater. 31–34, 1013 (1983); T. Iwata, J. Magn. Magn. Mater. 59, 215 (1986); V.G. Baryakhtar, Zh. Eksp. Teor. Fiz. 87, 1501 (1984); S. Barta (unpublished, 1999); W. M. Saslow, J. Appl. Phys. 105, 07D315 (2009).〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Landau–Lifshitz–Gilbert equation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.