高等学校化学学报 ›› 2006, Vol. 27 ›› Issue (1): 187-191.

• 研究论文 • 上一篇    下一篇

向列型液晶与硬粒子两相体系的织态演化动力学研究

王涛, 洪珂, 张红东, 杨玉良   

  1. 复旦大学高分子科学系, 聚合物分子工程教育部重点实验室, 上海 200433
  • 收稿日期:2004-12-22 出版日期:2006-01-10 发布日期:2006-01-10
  • 通讯作者: 张红东(1967年出生), 男, 副教授, 主要从事高分子物理研究. E-mail: zhanghongdong@gmail.com
  • 基金资助:

    国家自然科学基金(批准号: 20474011, 20234010, 20221402)资助.

Dynamic Research of Pattern Formation in Two Phase System of Nematic  Liquid Crystal and Hard Particles

WANG Tao, HONG Ke, ZHANG  Hong-Dong*, YANG Yu-Liang   

  1. Department of Macromolecular Science,  Fudan University, Key Lab of Molecular Engineering of Polymers, Ministry of Education, Shanghai 200433, China
  • Received:2004-12-22 Online:2006-01-10 Published:2006-01-10
  • Contact: ZHANG Hong-Dong,E-mail: zhanghongdong@gmail.com

摘要:

用二维XY模型和CDS元胞动力学方法研究了向列型液晶与少量硬粒子组成的两相体系的织态演化动力学. 通过模拟给出了织态演化过程的偏光图案, 其中纯液晶体系的偏光图案与实验观察到的结果一致; 并计算得到了空间相关函数和结构因子以及相区域的特征长度随时间t增长的标度关系. 同时统计了体系中缺陷点的数目, 得到了缺陷数目随时间t减少的标度关系. 发现粒子与液晶的相互作用将导致序参量有序化过程、  相区域增长速度和缺陷湮灭速度减慢.

关键词: XY模型; 元胞动力学; 空间相关函数; 结构因子

Abstract:

In order to inspect the influence of impurities or stuffing on the liquid crystal, numerical results from the modeling and computer simulation of the nematic liquid crystal/hard particles composites pattern formation are presented in this paper. In the simulation, XY model was used to deal with the order parameter and standard cell dynamical  scheme(CDS) was adopted to translate the continuous space into lattice space. The polarizing light pattern from the computer simulation fits the experiment results well, and this gives supports to the model. In order to describe the evolvement of the domain size,  real space correlation function and structure factor were calculated which obey the dynamical scaling with  increasing  nondimensional time t. The defects number also was  checked and it also obeys the dynamical scaling with  decreasing  nondimensional  time t, but  increasing  particle number.  In conclusion,  interactions between  hard particles and liquid crystal do not only decrease the  ordering rate of the order parameter, the grow rate of the domain size and the elimination rate of the defects, but also break the dynamical scaling laws and make the system more complex.

Key words: XY model; Cell dynamical scheme; Spacial correlation function; Scatter structure factor

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