Thin convex shells in Micromagnetics
Thin convex shells in Micromagnetics
复制标题
微磁学中的薄凸壳
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
G. Fratta
中科院分区：
文献类型：
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作者：
G. Fratta
在平面结构中，涡旋型和洋葱型的微磁分布已被广泛研究。最近，一个显着的兴趣，纳米磁体与弯曲的形状已经出现。特别是，球壳是目前的极大兴趣，由于他们的能力，以支持skyrmion的解决方案，可以稳定的曲率效应，在相反的平面的情况下，需要的内在Dzyaloshinsky-Moriya相互作用。对于厚度远小于系统尺寸的平面薄壳，退磁场算子的影响可以归结为有效的易表面各向异性。这个结果后来被推广到闭包与$mathbb{R}^2 $的闭单位圆盘同构的曲面。本文的目的是执行严格的$Gamma$-发展分析的微磁能量泛函，当壳生成的情况下，如在一个球体，由一个有界的凸光滑表面。
Micromagnetic distributions of the vortex and onion type have been widely studied in the context of planar structures. Recently a significant interest to nanomagnets with curved shape has appeared. In particular, spherical shells are currently of great interest due to their capability to support skyrmion solutions which can be stabilized by curvature effects only, in contrast to the planar case where the intrinsic Dzyaloshinsky-Moriya interaction is required. It is well established that the effects of the demagnetizing field operator can be reduced to an effective easy-surface anisotropy for planar thin shells whose thickness is much less than the size of the system. The result has later been extended to surfaces whose closure is diffeomorphic to the closed unit disk of $mathbb{R}^2$. The aim of the paper is to perform a rigorous $Gamma$-development analysis of the micromagnetic energy functional, when the shell is generated, like in the case of a sphere, by a bounded and convex smooth surface.
薄铁磁纳米管中的畴壁运动：分析结果
DOI：
10.1209/0295-5075/105/67006
发表时间：
2014
期刊：
EPL (Europhysics Letters)
影响因子：
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作者：
Goussev A
通讯作者：
Goussev A