Homogenization of ferromagnetic multilayers in the presence of surface energies.
| hal.structure.identifier | Laboratoire Analyse, Géométrie et Applications [LAGA] | |
| hal.structure.identifier | Section de mathématiques [Genève] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | SANTUGINI-REPIQUET, Kévin | |
| dc.date.accessioned | 2024-04-04T02:45:23Z | |
| dc.date.available | 2024-04-04T02:45:23Z | |
| dc.date.issued | 2007 | |
| dc.identifier.issn | 1292-8119 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191465 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | EDP Sciences | |
| dc.subject.en | Ferromagnetic multilayers | |
| dc.subject.en | micromagnetism | |
| dc.subject.en | homogenization | |
| dc.subject.en | Landau-Lifshitz equation | |
| dc.subject.en | super-exchange: surface anisotropy | |
| dc.title.en | Homogenization of ferromagnetic multilayers in the presence of surface energies. | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | ESAIM: Control, Optimisation and Calculus of Variations | |
| bordeaux.page | 305-330 | |
| bordeaux.volume | 13 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00336597 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00336597v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=ESAIM:%20Control,%20Optimisation%20and%20Calculus%20of%20Variations&rft.date=2007&rft.volume=13&rft.issue=2&rft.spage=305-330&rft.epage=305-330&rft.eissn=1292-8119&rft.issn=1292-8119&rft.au=SANTUGINI-REPIQUET,%20K%C3%A9vin&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||