Ferromagnetic thin multi-structures
Abstract
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 same rate. In the first case, we obtain a 1D 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 1D 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.
Keywords
Cite
@article{arxiv.1402.7221,
title = {Ferromagnetic thin multi-structures},
author = {Antonio Gaudiello and Rejeb Hadiji},
journal= {arXiv preprint arXiv:1402.7221},
year = {2014}
}