Domain structure of bulk ferromagnetic crystals in applied fields near saturation
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Publication:413958
DOI10.1007/s00332-011-9105-2zbMath1298.35014arXiv1004.4292OpenAlexW3102087632MaRDI QIDQ413958
Cyrill B. Muratov, Hans Knüpfer
Publication date: 8 May 2012
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.4292
Variational inequalities (49J40) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of magnetic materials (82D40) Variational principles of physics (49S05) Pattern formations in context of PDEs (35B36)
Related Items (17)
The mathematics of thin structures ⋮ Optimal Shape of Isolated Ferromagnetic Domains ⋮ A branched transport limit of the Ginzburg-Landau functional ⋮ Energy scaling laws for microstructures: from helimagnets to martensites ⋮ Nucleation barriers for the cubic‐to‐tetragonal phase transformation in the absence of self‐accommodation ⋮ Onset of pattern formation in thin ferromagnetic films with perpendicular anisotropy ⋮ Coarsening of Folds in Hanging Drapes ⋮ A universal thin film model for Ginzburg-Landau energy with dipolar interaction ⋮ Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy ⋮ Exact periodic stripes for minimizers of a local/nonlocal interaction functional in general dimension ⋮ Nucleation Barriers for the Cubic‐to‐Tetragonal Phase Transformation ⋮ The \(\varGamma\)-limit of the two-dimensional Ohta-Kawasaki energy. I: Droplet density ⋮ Droplet phases in non-local Ginzburg-Landau models with Coulomb repulsion in two dimensions ⋮ Low volume-fraction microstructures in martensites and crystal plasticity ⋮ Branched Microstructures in the Ginzburg--Landau Model of Type-I Superconductors ⋮ Asymptotic self-similarity of minimizers and local bounds in a model of shape-memory alloys ⋮ Energy scaling law for a singularly perturbed four-gradient problem in helimagnetism
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