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Reduced Models for Ferromagnetic Thin Films with Periodic Surface Roughness

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)1-30
Number of pages30
JournalJournal of Nonlinear Science
Early online date11 Oct 2017
DateAccepted/In press - 11 Oct 2017
DateE-pub ahead of print (current) - 11 Oct 2017


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.

    Research areas

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

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    Rights statement: This is the final published version of the article (version of record). It first appeared online via Springer at 10.1007/s00332-017-9416-z . Please refer to any applicable terms of use of the publisher.

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    Licence: CC BY


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