Two-dimensional ferronematics, canonical harmonic maps and minimal connections

Giacomo Canevari, Apala Majumdar, Bianca Stroffolini, Yiwei Wang

Research output: Working paper

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We study a variational model for ferronematics in two-dimensional domains, in the "super-dilute" regime. The free energy functional consists of a reduced Landau-de Gennes energy for the nematic order parameter, a Ginzburg-Landau type energy for the spontaneous magnetisation, and a coupling term that favours the co-alignment of the nematic director and the magnetisation. In a suitable asymptotic regime, we prove that the nematic order parameter converges to a canonical harmonic map with non-orientable point defects, while the magnetisation converges to a singular vector field, with line defects that connect the non-orientable point defects in pairs, along a minimal connection.
Original languageEnglish
Place of PublicationIthaca, NY
Number of pages56
Publication statusAccepted/In press - 13 Oct 2023


  • Ginzburg-Landau functional
  • Modica-Mortola functional
  • canonical harmonic maps
  • non-orientable singularities
  • minimal connections


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