Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy

被引:97
作者
Choksi, R [1 ]
Kohn, RV
Otto, F
机构
[1] Simon Fraser Univ, Dept Math & Stat, Burnaby, BC V5A 1S6, Canada
[2] NYU, Courant Inst, New York, NY 10012 USA
[3] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
关键词
D O I
10.1007/s002200050549
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We address the branching of magnetic domains in a uniaxial ferromagnet. Our thesis is that branching is required by energy minimization. To show this, we consider the nonlocal, nonconvex variational problem of micromagnetics. We identify the scaling law of the minimum energy by proving a rigorous lower bound which matches the already-known upper bound. We further show that any domain pattern achieving this scaling law must have average width of order L-2/3, where L is the length of the magnet in the easy direction, Finally we argue that branching is required, by considering the constrained variational problem in which branching is prohibited and the domain structure is invariant in the easy direction, Its scaling law is different.
引用
收藏
页码:61 / 79
页数:19
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