二维磁性液滴的分离
Propagating two-dimensional magnetic droplets
摘要：
研究了二维磁性薄膜中单轴易轴各向异性的Landau-Lifshitz方程的孤立磁波解。这些本地化的，非拓扑波结构，参数化的进动频率和传播速度，扩展固定的，相干旋进的“磁振子液滴”的移动框架，由于缺乏伽利略不变性的非平凡的推广。旋转液滴在自旋波背景上以非线性液滴分散关系移动，该非线性液滴分散关系产生有限范围的允许液滴速度和频率。采用迭代数值方法计算了液滴的结构和性质。结果与以前的渐近计算弱非线性政权。此外，液滴的轨道稳定性的分析准则被确认。与时间相关的数值模拟进一步验证了液滴传播的鲁棒性扰动时，其频率和速度在允许的范围内。
英文摘要：
Propagating, solitary magnetic wave solutions of the Landau-Lifshitz equation with uniaxial, easy-axis anisotropy in thin (two-dimensional) magnetic films are investigated. These localized, nontopological wave structures, parametrized by their precessional frequency and propagation speed, extend the stationary, coherently precessing "magnon droplet" to the moving frame, a non-trivial generalization due to the lack of Galilean invariance. Propagating droplets move on a spin wave background with a nonlinear droplet dispersion relation that yields a limited range of allowable droplet speeds and frequencies. An iterative numerical technique is used to compute the propagating droplet's structure and properties. The results agree with previous asymptotic calculations in the weakly nonlinear regime. Furthermore, an analytical criterion for the droplet's orbital stability is confirmed. Time-dependent numerical simulations further verify the propagating droplet's robustness to perturbation when its frequency and speed lie within the allowable range.
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