Knotlike χ disclinations in the cholesteric liquid crystals

Peng-ming Zhang, Yi-shi Duan and Hong Zhang

Physica A: Statistical Mechanics and its Applications, 2006, vol. 370, issue 2, 245-250

Abstract: We investigate the topological properties of N(N⩾1) disclination lines in cholesteric liquid crystals. The topological structure of N disclination lines is obtained with the Hopf index and Brouwer degree. Furthermore, the knotted χ disclination loops is proposed with the Hopf invariant. And we consider the stability of such configuration based on the higher order interaction. At last, the evolution of the disclinations is discussed.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:370:y:2006:i:2:p:245-250

DOI: 10.1016/j.physa.2006.02.046

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