Reduced Models for Ferromagnetic Thin Films with Periodic Surface Roughness

M. Morini, V. Slastikov*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

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We investigate the influence of periodic surface roughness in thin ferromagnetic films on shape anisotropy and magnetization behavior inside the ferromagnet. Starting from the full micromagnetic energy and using methods of homogenization and (Formula presented.)-convergence, we derive a two-dimensional local reduced model. Investigation of this model provides an insight into the formation mechanism of perpendicular magnetic anisotropy and uniaxial anisotropy with an arbitrary preferred direction of magnetization.

Original languageEnglish
Pages (from-to)1-30
Number of pages30
JournalJournal of Nonlinear Science
Early online date11 Oct 2017
Publication statusE-pub ahead of print - 11 Oct 2017


  • $$\Gamma $$Γ-convergence
  • Dimension reduction
  • Homogenization
  • Micromagnetics


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