Useful upper and lower bounds to the magnetostatic self-energy

Author

Aharoni, Amikam

Author_Institution

Dept. of Electron., Weizmann Inst. of Sci., Rehovoth, Israel

Volume

27

Issue

6

fYear

1991

fDate

11/1/1991 12:00:00 AM

Firstpage

4793

Lastpage

4795

Abstract

The magnetostatic energy of a spherical particle is shown to be bounded between two specific expressions which contain local variables only. Evaluating such expressions in numerical computations of magnetization configurations should be much simpler than the evaluation of the actual magnetostatic energy. An approximation in which the error can be controlled, and is known at each step of the minimization procedure is suggested. It is based on general inequalities which place the rigorous value of the magnetostatic energy between upper and lower bounds. Using these upper and lower bounds is therefore expected to reduce the total computation time by orders of magnitude

Keywords

ferromagnetism; magnetic properties of fine particles; magnetisation; magnetostatics; numerical methods; physics computing; Brown inequalities; computation time; ferromagnetic; local variables; lower bounds; magnetization configurations; magnetostatic self-energy; minimization procedure; numerical computations; spherical particle; upper bounds; Anisotropic magnetoresistance; Error correction; Magnetic anisotropy; Magnetic moments; Magnetic separation; Magnetization; Magnetostatics; Perpendicular magnetic anisotropy; Shape; Taylor series;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.278949

Filename

278949