Stability of a hyperbolic disclination ring in a nematic liquid crystal.
The stability of a hyperbolic disclination ring in a nematic liquid crystal is considered by extending the argument for a radial disclination ring due to Mori and Nakanishi. The ring configuration is indeed stable in the presence of the saddle-splay elasticity (characterized by K24). The ring radius is estimated to be a approximately 2.9r(c), with r(c) being the core radius when K24 approximately K/2, where K is the Frank elastic constant in the one-constant approximation.
Fukuda
Jun-ichi
J
Yokoyama Nano-structured Liquid Crystal Project, ERATO, Japan Science and Technology Corporation, 5-9-9 Tokodai, Tsukuba 300-2635, Japan.
Yokoyama
Hiroshi
H