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Dynamics of Magnetic Vortex Rings

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Singularities in Fluids, Plasmas and Optics

Part of the book series: NATO ASI Series ((ASIC,volume 404))

Abstract

The conservation laws of linear and angular momentum in the ferromagnetic continuum are expressed as moments of a suitable topological vorticity, thus establishing a direct link between the topological complexity of magnetic structures and their dynamics. In particular, we argue that finite-energy magnetic solitons with a nonvanishing Hopf index are stabilized by moving along the easy axis with constant velocity.

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Author information

Authors and Affiliations

  1. Department of Physics, University of Crete and Research Center of Crete, Heraklion, Greece

    N. Papanicolaou

Authors
  1. N. Papanicolaou
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of California at Los Angeles, Los Angeles, California, USA

    Russel E. Caflisch

  2. Courant Institute of Mathematical Sciences, New York University, New York, New York, USA

    George C. Papanicolaou

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© 1993 Springer Science+Business Media Dordrecht

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Papanicolaou, N. (1993). Dynamics of Magnetic Vortex Rings. In: Caflisch, R.E., Papanicolaou, G.C. (eds) Singularities in Fluids, Plasmas and Optics. NATO ASI Series, vol 404. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2022-7_11

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  • DOI: https://doi.org/10.1007/978-94-011-2022-7_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4894-1

  • Online ISBN: 978-94-011-2022-7

  • eBook Packages: Springer Book Archive

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