Transverse domain walls in thin ferromagnetic strips
Analysis of PDEs
2023-06-06 v1 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
We present a characterization of the domain wall solutions arising as minimizers of an energy functional obtained in a suitable asymptotic regime of micromagnetics for infinitely long thin film ferromagnetic strips in which the magnetization is forced to lie in the film plane. For the considered energy, we provide existence, uniqueness, monotonicity, and symmetry of the magnetization profiles in the form of 180 and 360 walls. We also demonstrate how this energy arises as a -limit of the reduced two-dimensional thin film micromagnetic energy that captures the non-local effects associated with the stray field, and characterize its respective energy minimizers.
Keywords
Cite
@article{arxiv.2106.01338,
title = {Transverse domain walls in thin ferromagnetic strips},
author = {M. Morini and C. B. Muratov and M. Novaga and V. V. Slastikov},
journal= {arXiv preprint arXiv:2106.01338},
year = {2023}
}