Volume 13, Number 2, April-June 2007
|Page(s)||305 - 330|
|Published online||12 May 2007|
Homogenization of ferromagnetic multilayers in the presence of surface energies
UNIGE, Section de
mathématiques, Genève, Switzerland;
Revised: 12 October 2005
Revised: 7 February 2006
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.
Mathematics Subject Classification: 35B27 / 35K60
Key words: Ferromagnetism / multilayers / Landau-Lifshitz equation / micromagnetic model
© EDP Sciences, SMAI, 2007
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