铁磁薄膜流体力学方程中伽利略不变性的破缺
Breaking of Galilean invariance in the hydrodynamic formulation of ferromagnetic thin films
摘要:
铁磁体中的微波磁动力学通常在对应于明确定义的磁态的调制的小振幅或弱非线性区域中进行研究。然而,强非线性制度,其中上述近似是不适用的,已成为实验上可访问的。通过重新解释的Landau-Lifshitz运动方程的运动,我们推导出一组精确的方程的色散流体动力学形式,是服从分析研究,即使完全非线性和交换色散。由此产生的方程,在一般情况下,打破伽利略不变性。磁马赫数作为静态和运动参考系的函数。最简单的一类解被称为均匀流体动力学状态(UHS),其表现出类似流体的行为,包括在亚声速下的层流和在超音速下的马赫锥和波前的形成。调制不稳定的制度也是可能的,其中UHS是非常不稳定的。水动力解释器
英文摘要:
Microwave magnetodynamics in ferromagnets are often studied in the small-amplitude or weakly nonlinear regime corresponding to modulations of a well-defined magnetic state. However, strongly nonlinear regimes, where the aforementioned approximations are not applicable, have become experimentally accessible. By re-interpreting the governing Landau-Lifshitz equation of motion, we derive an exact set of equations of dispersive hydrodynamic form that are amenable to analytical study even when full nonlinearity and exchange dispersion are included. The resulting equations are shown to, in general, break Galilean invariance. A magnetic Mach number is obtained as a function of static and moving reference frames. The simplest class of solutions are termed uniform hydrodynamic states (UHSs), which exhibit fluid-like behavior including laminar flow at subsonic speeds and the formation of a Mach cone and wave-fronts at supersonic speeds. A regime of modulational instability is also possible, where the UHS is violently unstable. The hydrodynamic interpr
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