中文摘要：

基于Landau-de Gennes理论，利用松弛迭代法，研究了混合排列向列相液晶薄盒中？1/2向错引起的有序重构的扩散现象，给出了？1/2向错的核结构、双轴性结构，以及盒厚减小时有序重构的扩散。当盒厚小于15ξ时，随着盒厚的减小，向错范围和有序重构区域沿基板方向迅速扩散；当盒厚减小到临界厚度10ξ时，有序重构的范围扩散到整个液晶盒中，以向错中心所对应的平面为界，指向矢一部分垂面排列，另一部分沿面排列。本文的研究对拓扑缺陷对向列相液晶中的亚微米胶体粒子的调节作用具有一定的理论指导意义。

英文摘要：

Based on the Landau-de Gennes theory, the diffusion of order reconstruction induced by？1/2 wedge disclination in a thin hybrid cell is investigated by the relaxation iterative method. The core structure, the biaxial structure, and the diffusion of order reconstruction as the cell thickness decreases, are explored. The defect structure and the range of order reconstruction do not change when the cell thickness is larger than 15ξ. As the thickness decreases from 15ξ, the defect range broadens along the substrate direction, and the biaxial region as well as the range of order reconstruction also enlarges. When the thickness further decreases to below the critical value of 10ξ, the biaxial region and the order reconstruction range merge into an entire cell, where the planar orientation is abruptly converted into the perpendicular one across the biaxial wall. The results obtained in this paper are important for further studying the regulating effect of topological defect on submicron colloidal particles in nematics.