Homogenization of ferromagnetic multilayers in the presence of surface energies.
SANTUGINI-REPIQUET, Kévin
Laboratoire Analyse, Géométrie et Applications [LAGA]
Section de mathématiques [Genève]
Institut de Mathématiques de Bordeaux [IMB]
Laboratoire Analyse, Géométrie et Applications [LAGA]
Section de mathématiques [Genève]
Institut de Mathématiques de Bordeaux [IMB]
SANTUGINI-REPIQUET, Kévin
Laboratoire Analyse, Géométrie et Applications [LAGA]
Section de mathématiques [Genève]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Laboratoire Analyse, Géométrie et Applications [LAGA]
Section de mathématiques [Genève]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
ESAIM: Control, Optimisation and Calculus of Variations. 2007, vol. 13, n° 2, p. 305-330
EDP Sciences
English 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 ...Read more >
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.Read less <
English Keywords
Ferromagnetic multilayers
micromagnetism
homogenization
Landau-Lifshitz equation
super-exchange: surface anisotropy
Origin
Hal imported