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- Title
Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field.
- Authors
Alouges, François; Chambolle, Antonin; Stantejsky, Dominik
- Abstract
We use the Landau-de Gennes energy to describe a particle immersed into nematic liquid crystals with a constant applied magnetic field. We derive a limit energy in a regime where both line and point defects are present, showing quantitatively that the close-to-minimal energy is asymptotically concentrated on lines and surfaces nearby or on the particle. We also discuss regularity of minimizers and optimality conditions for the limit energy.
- Subjects
MAGNETIC fields; COLLOIDS; POINT defects; IMMERSION in liquids; NEMATIC liquid crystals; SURFACE energy; LIQUID crystals
- Publication
Calculus of Variations & Partial Differential Equations, 2024, Vol 63, Issue 5, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-024-02717-5