Ferromagnetic thin multi-structures

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:257

Article

Gaudiello, Antonio¹  Hadiji, Rejeb² 

[1] Univ Cassino & Lazio Merid, DIEI, I-03043 Cassino, FR, Italy

[2] Univ Paris Est, Lab Anal & Math Appl, UMR 8050, UPEC, F-94010 Creteil, France

关键词: Micromagnetics;    Variational problem;    Thin film;    Nano-wire;    Junctions;   

DOI  :  10.1016/j.jde.2014.05.015

来源: Elsevier

【 摘 要 】

In this paper, starting from the classical 3D non-convex and nonlocal micromagnetic energy for ferromagnetic materials, we determine, via an asymptotic analysis, the free energy of a multi-structure consisting of a nano-wire in junction with a thin film and of a multi-structure consisting of two joined nano-wires. We assume that the volumes of the two parts composing each multi-structure vanish with the same rate. In the first case, we obtain a ID limit problem on the nano-wire and a 2D limit problem on the thin film, and the two limit problems are uncoupled. In the second case, we obtain two ID limit problems coupled by a junction condition on the magnetization. In both cases, the limit problem remains non-convex, but now it becomes completely local. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free