Effect of Saddle-Splay Elasticity on Stability of Disclination Rings in Nematic Liquid Crystals |
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Authors: | WANG Yu-Sheng YUAN Bao-He YANG Guo-Hong |
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Institution: | 1. Department of Mathematics and Information Sciences, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China
;2. Department of Physics, Shanghai University, Shanghai 200444, China |
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Abstract: | In this paper, the stability of
disclination ring in nematic liquid crystals is studied. In the
presence of saddle-splay elasticity (characterized by k24)
the disclination ring has a universal equilibrium radius. Depending on the values of the saddle-splay constant
k24, the universal equilibrium radius is altered. When
k24>>0.92k (m=1/2) and
k24>>0.88k (m=-1/2), the
disclination will be a point rather than a ring, where $k$ is the
Frank elastic constant in the one-constant approximation. |
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Keywords: | director field topological defect free energy |
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