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Bounds on the micromagnetic energy of a uniaxial ferromagnet
Author(s) -
Choksi Rustum,
Kohn Robert V.
Publication year - 1998
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(199803)51:3<259::aid-cpa3>3.0.co;2-9
Subject(s) - ferromagnetism , scaling , mathematics , energy (signal processing) , condensed matter physics , micromagnetics , mathematical analysis , geometry , physics , magnetization , magnetic field , quantum mechanics , statistics
We identify the optimal scaling law for a nonconvex, nonlocal variational problem representing the magnetic energy of a uniaxial ferromagnet. Our analysis is restricted to a certain parameter regime, in which the surface tension is sufficiently small relative to the other parameters of the problem. © 1998 John Wiley & Sons, Inc.