Journal
LIQUID CRYSTALS
Volume 48, Issue 8, Pages 1120-1128Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/02678292.2020.1846812
Keywords
Landau-de Gennes theory; coaxial cylinders; chiral structures; saddle-splay elasticity; domain wall
Funding
- National Natural Science Foundation of China [11374087]
- National Science Foundation of Hebei province of China [F2020202015]
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In this study, the double-twist director configuration in a cylindrical shell with degenerate planar anchoring is investigated using Landau-de Gennes theory and differential iteration method. The combined effects of saddle-splay elasticity and curvature on the spontaneous chiral structure are analyzed, revealing two domain wall structures and a new 1/2 defect ring structure between opposite-handed domains. The stabilities of these structures are analyzed through an energy comparison.
Based on Landau-de Gennes theory and differential iteration method, in a cylindrical shell with degenerate planar anchoring at both interfaces, the double-twist director configuration caused by large saddle-splay elasticity is investigated. The combined effects of saddle-splay elasticity and the curvature on the spontaneous chiral structure are analysed. Between opposite-handed domains, we find two domain wall structures and a new 1/2 defect ring structure. The stabilities of these structures are analysed by an energy comparison.
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