STATIC FERROMAGNETIC MATERIALS: FROM THE MICROSCOPIC TO THE MESOSCOPIC SCALE

DOI10.1142/S0219199713500132zbMath1286.35024arXiv1111.2421WikidataQ107099871 ScholiaQ107099871MaRDI QIDQ5401603

Stéphane Labbé, Quentin Jouet, Brigitte Bidégaray-Fesquet

Publication date: 10 March 2014

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2421

zbMATH Keywords

\(\Gamma\)-convergencemicromagnetismspin lattice

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Statistical mechanics of magnetic materials (82D40) Viscosity solutions to PDEs (35D40)

Cites Work

• Variational analysis of the asymptotics of the \(XY\) model
• Internal variables and fine-scale oscillations in micromagnetics
• Mathematical derivation of the continuum limit of the magnetic force between two parts of a rigid crystalline material
• On the continuum theory of deformable ferromagnetic solids
• Weakly Differentiable Functions
• 3D dynamic micromagnetic simulations of susceptibility spectra in soft ferromagnetic particles

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