On energy-minimization in ferromagnetism controlled by applied fields

被引：0
|
作者：
Yan, Baisheng [1 ]
机构：
[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2013年 / 192卷 / 01期
关键词：
Ferromagnetism; No-exchange energy; Dual functional; Dependence on applied field; Annulus domain;
D O I：
10.1007/s10231-011-0214-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the minimization problem for a "no-exchange" energy in ferromagnetism with applied field taken as a control parameter. We show that any feasible magnetization configuration can be realized as energy-minimizer for some energy with an appropriately adjusted applied field. Similar results are also obtained for the minimizers of the dual functionals controlled by applied fields. Special interesting cases are studied for certain applied fields and physical domains.
引用
收藏
页码：115 / 125
页数：11
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