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	Transition of Defect Patterns from 2D to 3D in Liquid Crystals
	Qu, Yang ; Wei, Ying ; Zhang, Pingwen
	2017
关键词	Transition of defects liquid crystal Landau-de Gennes model spectral method DE-GENNES THEORY NEMATIC EMULSIONS ORDER
英文摘要	Defects arise when nematic liquid crystals are under topological constraints at the boundary. Recently the study of defects has drawn a lot of attention because of the growing theoretical and practical significance. In this paper, we investigate the relationship between two-dimensional defects and three-dimensional defects within nematic liquid crystals confined in a shell. A highly accurate spectral method is used to solve the Landau-de Gennes model to get the detailed static structures of defects. Interestingly, the solution is radial-invariant when the thickness of the shell is sufficiently small. As the shell thickness increases, the solution undergoes symmetry break to reconfigure the disclination lines. We study this three-dimensional reconfiguration of disclination lines in detail under different boundary conditions. In particular, we find that the temperature plays an important role in deciding whether the transition between two-dimensional defects and three-dimensional defects is continuous or discontinuous for the shell with planar anchoring condition on both inner and outer surfaces. We also discuss the characterization of defects in two-and three-dimensional spaces within the tensor model.; National Natural Science Foundation of China [11421101, 11421110001]; SCI(E); ARTICLE; 3; 890-904; 21
语种	英语
出处	SCI
出版者	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/474906]
专题	数学科学学院
推荐引用方式 GB/T 7714	Qu, Yang,Wei, Ying,Zhang, Pingwen. Transition of Defect Patterns from 2D to 3D in Liquid Crystals. 2017-01-01.

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