Transverse Domain Walls in Thin Ferromagnetic Strips

Document Type

Article

Publication Date

6-1-2023

Abstract

We present a characterization of the domain wall solutions arising as minimizers of an energy functional obtained in a suitable asymptotic regime of the 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 the 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 Γ -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.

Identifier

85160664826 (Scopus)

Publication Title

Archive for Rational Mechanics and Analysis

External Full Text Location

https://doi.org/10.1007/s00205-023-01868-7

e-ISSN

14320673

ISSN

00039527

Issue

3

Volume

247

Grant

DMS-1614948

Fund Ref

Max-Planck-Institut für Mathematik in den Naturwissenschaften

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