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- W2434188051 abstract "Defects arise when nematic liquid crystals are under topological constraints at the boundary. Recently the study of defects has drawn a lot of attention. In this paper, we investigate the relationship between two-dimensional defects and three-dimensional defects within nematic liquid crystals confined in a shell under the Landau-de Gennes model. We use a highly accurate spectral method to numerically 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 increase, the solution undergo symmetry break to reconfigure the disclination lines. We study this three-dimensional reconfiguration of disclination lines in detail under different boundary conditions. We also discuss the topological charge of defects in two- and three-dimensional spaces within the tensor model." @default.
- W2434188051 created "2016-06-24" @default.
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- W2434188051 date "2015-10-14" @default.
- W2434188051 modified "2023-09-23" @default.
- W2434188051 title "Transition of defect patterns from 2D to 3D in liquid crystals" @default.
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- W2434188051 doi "https://doi.org/10.48550/arxiv.1510.04391" @default.
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