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Asymptotic shape of isolated magnetic domains

We investigate the energy of an isolated magnetized domain omega c Rn for n = 2, 3. In non-dimensionalized variables, the energy given by epsilon(omega) = integral(Rn) |& nabla;(chi omega)|dx + integral(Rn) |& nabla;h(omega)|(2)dx penalizes the interfacial area of the domain as well as the e...

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Hauptverfasser: Knüpfer, Hans (VerfasserIn) , Stantejsky, Dominik (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 20 July 2022
In: Proceedings. Mathematical, physical and engineering sciences
Year: 2022, Jahrgang: 478, Heft: 2263
ISSN:1471-2946
DOI:10.1098/rspa.2022.0018
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1098/rspa.2022.0018
Verlag, lizenzpflichtig, Volltext: https://www.webofscience.com/api/gateway?GWVersion=2&SrcAuth=DOISource&SrcApp=WOS&KeyAID=10.1098%2Frspa.2022.0018&DestApp=DOI&SrcAppSID=EUW1ED0DBFBCHlGCUiZBp1AoM9kvE&SrcJTitle=PROCEEDINGS+OF+THE+ROYAL+SOCIETY+A-MATHEMATICAL+PHYSICAL+AND+ENGINEERING+SCIENCES&DestDOIRegistrantName=The+Royal+Society
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Verfasserangaben:Hans Knüpfer and Dominik Stantejsky

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520 |a We investigate the energy of an isolated magnetized domain omega c Rn for n = 2, 3. In non-dimensionalized variables, the energy given by epsilon(omega) = integral(Rn) |& nabla;(chi omega)|dx + integral(Rn) |& nabla;h(omega)|(2)dx penalizes the interfacial area of the domain as well as the energy of the corresponding magnetostatic field. Here, the magnetostatic potential h(omega) is determined by h(omega) = & part;(1 chi omega), corresponding to uniform magnetization within the domain. We consider the macroscopic regime |omega| -> infinity, in which we derive compactness and gamma-limit which is formulated in terms of the cross-sectional area of the anisotropically rescaled configuration. We then give the solutions for the limit problems. 
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