Two-dimensional ferronematics, canonical harmonic maps and minimal connections

Canevari, Giacomo and Majumdar, Apala and Stroffolini, Bianca and Wang, Yiwei (2022) Two-dimensional ferronematics, canonical harmonic maps and minimal connections. Other. arXiv, Ithaca, NY. (https://doi.org/10.48550/arXiv.2208.01586)

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Abstract

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.

ORCID iDs

Canevari, Giacomo, Majumdar, Apala ORCID logoORCID: https://orcid.org/0000-0003-4802-6720, Stroffolini, Bianca and Wang, Yiwei;
  • Item type:Monograph(Other)
    ID code:82768
    Dates:
    Date
    Event
    2 August 2022
    Published
    2 August 2022
    Submitted
    Keywords:Ginzburg-Landau functional, Modica-Mortola functional, canonical harmonic maps, non-orientable singularities, minimal connections, Mathematics, Mathematics(all)
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:13 Oct 2022 16:22
    Last modified:18 Jan 2023 12:51
    URI:https://strathprints.strath.ac.uk/id/eprint/82768
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