On the energy of domain walls in ferromagnetism
On the energy of domain walls in ferromagnetism
复制标题
论铁磁性中磁畴壁的能量
DOI：
10.4171/ifb/216
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发表时间：
2009
影响因子：
1
通讯作者：
R. Moser
中科院分区：
文献类型：
--
作者：
R. Moser
在微磁学理论中，铁磁样品的磁化强度的能量是四个分量的总和。我们研究当参数（所谓的交换长度）趋于 0 时该泛函的渐近行为。能量的两个分量的相互作用允许使用相变理论中众所周知的方法。在极限情况下，这会导致样品划分为由磁畴壁分隔的恒定磁化强度的磁域。我们研究第三种能量（杂散场的能量）对限制问题的贡献。特别是，我们得出了磁畴壁上能量密度的估计。
In the theory of micromagnetics, the magnetization of a ferromagnetic sample has an energy that is the sum of four components. We study the asymptotic behaviour of this functional when a parameter (the so-called exchange length) tends to 0. The interaction of two of the components of the energy permits the use of well-known methods from the theory of phase transitions. In the limit this gives rise to a division of the sample into domains of constant magnetization, separated by domain walls. We examine the contribution of a third energy (the energy of the stray field) to the limiting problem. In particular, we derive an estimate for the energy density on the domain walls.