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