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Nematics pp 201–221Cite as

An Example of Frustration in a Ferromagnetic Material

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Part of the book series: NATO ASI Series ((ASIC,volume 332))

Abstract

The theory of micromagnetics, as developed by W. F. Brown, provides an expression for the free energy of a magnetization field and then seeks to determine the field of minimum energy. We show, in the often considered case where exchange energy is omitted, that the minimum of free energy is not attained for uniaxial materials but is attained for cubic materials. A study of minimizing sequences reveals that these describe many features of observed domain structures. The coercivity paradox is reexamined from this point of view. We suggest how these considerations may be extended to consider the magnetostrictive effect. This is primarily a report on [28].

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Author information

Authors and Affiliations

  1. Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN, 55455, USA

    Richard D. James

  2. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    David Kinderlehrer

Authors
  1. Richard D. James
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  2. David Kinderlehrer
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Editor information

Editors and Affiliations

  1. Département de Mathématiques, Université Paris-Sud, Orsay, France

    Jean-Michel Coron

  2. Centre de Mathématiques et Leurs Applications, Ecole Normale Supérieure de Cachan, Cachan, France

    Jean-Michel Ghidaglia

  3. Groupe Hydrodynamique Navale ENSTA, Palaiseau, France

    Frédéric Hélein

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James, R.D., Kinderlehrer, D. (1991). An Example of Frustration in a Ferromagnetic Material. In: Coron, JM., Ghidaglia, JM., Hélein, F. (eds) Nematics. NATO ASI Series, vol 332. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3428-6_16

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  • DOI: https://doi.org/10.1007/978-94-011-3428-6_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5516-1

  • Online ISBN: 978-94-011-3428-6

  • eBook Packages: Springer Book Archive

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