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Homogenization of ferromagnetic multilayers inthe presence of surface energies

Published online by Cambridge University Press:  12 May 2007

Kévin Santugini-Repiquet
Kévin Santugini-Repiquet*
Affiliation:
UNIGE, Section de mathématiques, Genève, Switzerland; Kevin.Santugini@math.unige.ch
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Abstract

We study the homogenization process of ferromagnetic multilayers in the presence of surface energies: super-exchange, also called interlayer exchange coupling, and surface anisotropy. The two main difficulties are the non-linearity of the Landau-Lifshitz equation and the absence of a good sequence of extension operators for the multilayer geometry. First, we consider the case when surface anisotropy is the dominant term, then the case when the magnitude of the super-exchange interaction is inversely proportional to the interlayer distance. We establish the homogenized equation in these two situations.

Keywords

FerromagnetismmultilayersLandau-Lifshitz equationmicromagnetic model
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 13 , Issue 2 , April 2007 , pp. 305 - 330
Copyright
© EDP Sciences, SMAI, 2007

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