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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