Knotlike χ disclinations in the cholesteric liquid crystals

被引：4
|
作者：
Zhang, Peng-Ming [1 ]
Duan, Yi-Shi
Zhang, Hong
机构：
[1] Lanzhou Univ, Dept Phys, Inst Theoret Phys, Lanzhou 730000, Peoples R China
[2] Seoul Natl Univ, Sch Phys, Coll Nat Sci, Seoul 151742, South Korea
[3] Zhejiang Univ, Inst Modern Phys, Hangzhou 310000, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2006年 / 370卷 / 02期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1016/j.physa.2006.02.046
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 x 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. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：245 / 250
页数：6
相关论文
共 50 条
  • [1] Evolution of disclinations in cholesteric liquid crystals
    Zhang, F
    Yang, DK
    [J]. PHYSICAL REVIEW E, 2002, 66 (04): : 041701/1 - 041701/5
  • [2] Periodic assembly of nanoparticle arrays in disclinations of cholesteric liquid crystals
    Li, Yunfeng
    Prince, Elisabeth
    Cho, Sangho
    Salari, Alinaghi
    Golestani, Youssef Mosaddeghian
    Lavrentovich, Oleg D.
    Kumacheva, Eugenia
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2017, 114 (09) : 2137 - 2142
  • [3] LATTICE OF DISCLINATIONS - THE STRUCTURE OF THE BLUE PHASES OF CHOLESTERIC LIQUID-CRYSTALS
    MEIBOOM, S
    SAMMON, M
    BRINKMAN, WF
    [J]. PHYSICAL REVIEW A, 1983, 27 (01): : 438 - 454
  • [4] DISCLINATIONS AND PROPERTIES OF DIRECTOR FIELD IN NEMATIC AND CHOLESTERIC LIQUID-CRYSTALS
    SAUPE, A
    [J]. MOLECULAR CRYSTALS AND LIQUID CRYSTALS, 1973, 21 (3-4): : 211 - 238
  • [5] NEW GENERATION PROCESS AND MATRIX REPRESENTATION OF DISCLINATIONS IN NEMATIC AND CHOLESTERIC LIQUID-CRYSTALS
    STIEB, AE
    LABES, MM
    [J]. MOLECULAR CRYSTALS AND LIQUID CRYSTALS, 1978, 45 (1-2) : 21 - 44
  • [6] Expulsion of disclinations in nematic liquid crystals
    Biscari, P
    Sluckin, TJ
    [J]. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2003, 14 : 39 - 59
  • [7] Stability of disclinations in nematic liquid crystals
    Wang Yu-Sheng
    Yang Guo-Hong
    Tian Li-Jun
    Duan Yi-Shi
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 45 (06) : 993 - 999
  • [8] Stability of Disclinations in Nematic Liquid Crystals
    WANG Yu-Sheng YANG Guo-Hong TIAN Li-Jun DUAN Yi-Shi1 Department of Physics
    [J]. Communications in Theoretical Physics, 2006, 45 (06) : 993 - 999
  • [9] Disclinations and bumps in nematic liquid crystals
    Virga, EG
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1997, 355 (1731): : 2035 - 2044
  • [10] ENERGETICS OF DISCLINATIONS IN LIQUID-CRYSTALS
    RANGANATH, GS
    [J]. MOLECULAR CRYSTALS AND LIQUID CRYSTALS, 1983, 97 (1-4) : 77 - 94
12345