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 degrees and 360 degrees walls. We also demonstrate how this energy arises as a F-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.

Transverse Domain Walls in Thin Ferromagnetic Strips / Morini, M; Muratov, Cb; Novaga, M; Slastikov, Vv. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 247:3(2023). [10.1007/s00205-023-01868-7]

Transverse Domain Walls in Thin Ferromagnetic Strips

Morini, M;
2023-01-01

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 degrees and 360 degrees walls. We also demonstrate how this energy arises as a F-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.
2023
Transverse Domain Walls in Thin Ferromagnetic Strips / Morini, M; Muratov, Cb; Novaga, M; Slastikov, Vv. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 247:3(2023). [10.1007/s00205-023-01868-7]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2952212
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