Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979656 | Physica A: Statistical Mechanics and its Applications | 2006 | 6 Pages |
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 Ï 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Peng-ming Zhang, Yi-shi Duan, Hong Zhang,