تقرير
Transverse domain walls in thin ferromagnetic strips
| العنوان: | Transverse domain walls in thin ferromagnetic strips |
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| المؤلفون: | Morini, M., Muratov, C. B., Novaga, M., Slastikov, V. V. |
| المصدر: | Arch. Rational Mech. Anal. 247:59, (2023) |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Condensed Matter - Mesoscale and Nanoscale Physics, Mathematical Physics, Nonlinear Sciences - Pattern Formation and Solitons |
| الوصف: | 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$^\circ$ and 360$^\circ$ walls. We also demonstrate how this energy arises as a $\Gamma$-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. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00205-023-01868-7 |
| URL الوصول: | http://arxiv.org/abs/2106.01338 |
| رقم الأكسشن: | edsarx.2106.01338 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00205-023-01868-7 |
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