The Radial Hedgehog Solution in the Landau-de Gennes Theory: Effects of the Bulk Potentials

We study equilibrium configurations in spherical droplets of nematic liquid crystal with strong radial anchoring, within the Landau-de Gennes theory with a sixth-order bulk potential. The sixth-order potential predicts a bulk biaxial phase for sufficiently low temperatures, which the conventional fo...

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Veröffentlicht in:	arXiv.org 2023-06
Hauptverfasser:	McLauchlan, Sophie, Han, Yucen, Langer, Matthias, Majumdar, Apala
Format:	Artikel
Sprache:	eng
Schlagworte:	Critical point Crystal defects Droplets Free energy Liquid crystals Low temperature Mathematics - Analysis of PDEs Nematic crystals Physics - Soft Condensed Matter Point defects Temperature Toruses
Online-Zugang:	Volltext
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