Two-dimensional ferronematics, canonical harmonic maps and minimal connections

Canevari, Giacomo and Majumdar, Apala and Stroffolini, Bianca and Wang, Yiwei (2023) Two-dimensional ferronematics, canonical harmonic maps and minimal connections. Archive for Rational Mechanics and Analysis, 247. 110. ISSN 1432-0673 (https://doi.org/10.1007/s00205-023-01937-x)

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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:Article
    ID code:82768
    Dates:
    Date
    Event
    17 November 2023
    Published
    13 October 2023
    Accepted
    2 August 2022
    Submitted
    Notes:This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:13 Oct 2022 16:22
    Last modified:11 Nov 2024 14:23
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/82768
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