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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2016

Interaction Energy of Domain Walls in a Nonlocal Ginzburg–Landau Type Model from Micromagnetics

Radu Ignat
Roger Moser
  • Fonction : Auteur

Résumé

We study a variational model from micromagnetics involving a nonlocal Ginzburg-Landau type energy for S^1-valued vector fields. These vector fields form domain walls, called Neel walls, that correspond to one-dimensional transitions between two directions within the unit circle S^1. Due to the nonlocality of the energy, a Neel wall is a two length scale object, comprising a core and two logarithmically decaying tails. Our aim is to determine the energy differences leading to repulsion or attraction between Neel walls. In contrast to the usual Ginzburg-Landau vortices, we obtain a renormalised energy for Neel walls that shows both a tail-tail interaction and a core-tail interaction. This is a novel feature for Ginzburg-Landau type energies that entails attraction between Neel walls of the same sign and repulsion between Neel walls of opposite signs.

Dates et versions

hal-01673408 , version 1 (29-12-2017)

Identifiants

Citer

Radu Ignat, Roger Moser. Interaction Energy of Domain Walls in a Nonlocal Ginzburg–Landau Type Model from Micromagnetics. Archive for Rational Mechanics and Analysis, 2016, 221 (1), pp.419 - 485. ⟨10.1007/s00205-016-0964-4⟩. ⟨hal-01673408⟩
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