Effect of anisotropies on the magnetization dynamics

IF 1.2 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Networks and Heterogeneous Media Pub Date : 2015-02-01 DOI:10.3934/NHM.2015.10.209
L. Pérez, J. Bragard, H. Mancini, J. Gallas, A. M. Cabanas, O. Suarez, D. Laroze
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引用次数: 10

Abstract

We report a systematic investigation of the magnetic anisotropy effects observed in the deterministic spin dynamics of a magnetic particle in the presence of a time-dependent magnetic field. The system is modeled by the Landau-Lifshitz-Gilbert equation and the magnetic field consists of two terms, a constant term and a term involving a harmonic time modulation. We consider a general quadratic anisotropic energy with three different preferential axes. The dynamical behavior of the system is represented in Lyapunov phase diagrams, and by calculating bifurcation diagrams, Poincare sections and Fourier spectra. We find an intricate distribution of shrimp-shaped regular island embedded in wide chaotic phases. Anisotropy effects are found to play a key role in defining the symmetries of regular and chaotic stability phases.
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各向异性对磁化动力学的影响
我们报告了一个系统的研究磁粒子的磁各向异性效应的确定性自旋动力学中观察到的时间相关的磁场存在。该系统由Landau-Lifshitz-Gilbert方程建模,磁场由两个项组成,一个常数项和一个涉及谐波时间调制的项。我们考虑具有三个不同优先轴的一般二次型各向异性能量。系统的动力学行为用李雅普诺夫相图、分岔图、庞加莱截面和傅立叶谱表示。我们发现虾形规则岛的复杂分布嵌在宽混沌相中。发现各向异性效应在定义规则和混沌稳定相的对称性方面起着关键作用。
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来源期刊
Networks and Heterogeneous Media
Networks and Heterogeneous Media 数学-数学跨学科应用
CiteScore
1.80
自引率
0.00%
发文量
32
审稿时长
6-12 weeks
期刊介绍: NHM offers a strong combination of three features: Interdisciplinary character, specific focus, and deep mathematical content. Also, the journal aims to create a link between the discrete and the continuous communities, which distinguishes it from other journals with strong PDE orientation. NHM publishes original contributions of high quality in networks, heterogeneous media and related fields. NHM is thus devoted to research work on complex media arising in mathematical, physical, engineering, socio-economical and bio-medical problems.
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