Dimension reduction for the micromagnetic energy functional on curved thin films

2016/09/26 by Giovanni Di Fratta, Di Fratta, Giovanni · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #35C20 #49S05 #82D40 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Electromagnetic Scattering and Analysis #FOS: Mathematics #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall #cond-mat.mtrl-sci #math-ph #math.AP #math.MP #msc:35C20 #msc:49S05 #msc:82D40

paper · pdf · doi:10.48550/arxiv.1609.08040

openalex publication_date 2016/09/26 · arxiv created 2017/09/20 · arxiv updated 2017/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently a significant interest in ferromagnetic curved thin films has appeared. In particular, thin spherical shells are currently of great interest due to their capability to support skyrmion solutions which can be stabilized by curvature effects only, in contrast to the planar case where the Dzyaloshinskii-Moriya interaction is required. This paper aims to a Γ-asymptotic analysis of the micromagnetic energy functional, when the shell is generated, like in the case of a sphere, by a bounded, convex and smooth surface.

Citations

• Anisotropic Superexchange Interaction and Weak Ferromagnetism
• Classical Electrodynamics

Cited by

• Effect of curvature on the eigenstates of magnetic skyrmions

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