Energy minimizers for large ferromagnetic bodies
type: Item
instance of: scholarly article
title: Energy minimizers for large ferromagnetic bodies
zbMATH Open document ID: 0811.49030
DOI: 10.1007/BF00376811
author: Antonio DeSimone
published in: Archive for Rational Mechanics and Analysis
publication date: 1994-03-10T00:00:00Z
review text: In the theory of micromagnetics, the state of a rigid ferromagnetic body is described through its magnetization, a vector field defined over the body. Observed magnetizations are assumed to correspond to minimizers of an energy functional which depends on the applied magnetic field. Analytically this approach is too complex for application in cases of practical interest. The computations become more manageable if a ``no- exchange'' formulation of micromagnetics is adopted. In this paper, the author shows that the no-exchange formulation arises naturally as a limiting case of micromagnetics in the case of large bodies. There is an extensive discussion of the theoretical implications of this result.
Mathematics Subject Classification ID: 49S05
zbMATH DE Number: 501120
zbMATH Keywords: ferromagnetism
zbMATH Keywords: micromagnetics
zbMATH Keywords: minimizers
zbMATH Keywords: no-exchange formulation
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00376811
OpenAlex ID: W1979443080
description: scientific article; zbMATH DE number 501120