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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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
20 July 2022
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| In: |
Proceedings. Mathematical, physical and engineering sciences
Year: 2022, Volume: 478, Issue: 2263 |
| ISSN: | 1471-2946 |
| DOI: | 10.1098/rspa.2022.0018 |
| Online Access: | 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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| Author Notes: | Hans Knüpfer and Dominik Stantejsky |
| Summary: | 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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| Item Description: | Gesehen am 09.11.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1471-2946 |
| DOI: | 10.1098/rspa.2022.0018 |