NDLI: Domain Structure of Bulk Ferromagnetic Crystals in Applied Fields Near Saturation

Content Provider	Springer Nature Link
Author	Muratov, Cyrill B. Knüpfer, Hans
Copyright Year	2011
Abstract	We investigate the ground state of a uniaxial ferromagnetic plate with perpendicular easy axis and subject to an applied magnetic field normal to the plate. Our interest is in the asymptotic behavior of the energy in macroscopically large samples near the saturation field. We establish the scaling of the critical value of the applied field strength below saturation at which the ground state changes from the uniform to a multidomain magnetization pattern and the leading order scaling behavior of the minimal energy. Furthermore, we derive a reduced sharp interface energy, giving the precise asymptotic behavior of the minimal energy in macroscopically large plates under a physically reasonable assumption of small deviations of the magnetization from the easy axis away from domain walls. On the basis of the reduced energy and by a formal asymptotic analysis near the transition, we derive the precise asymptotic values of the critical field strength at which non-trivial minimizers (either local or global) emerge. The non-trivial minimal energy scaling is achieved by magnetization patterns consisting of long slender needle-like domains of magnetization opposing the applied field.
Ending Page	962
Page Count	42
Starting Page	921
File Format	PDF
ISSN	09388974
e-ISSN	14321467
Journal	Journal of Nonlinear Science
Issue Number	6
Volume Number	21
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-08-19
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Pattern formation ApplicationMathematics/Computational Methods of Engineering Variational bounds Theoretical, Mathematical and Computational Physics Asymptotic behavior of solutions Magnetic domains Analysis Mechanics Economic Theory Variational methods including variational inequalities Variational principles of physics Self-similarity Ansatz-free analysis
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Engineering Modeling and Simulation

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