ABSTRACT

Nematic liquid crystals (LCs) normally contain both integer and half-integer topological charges. In this work, we investigate topological charge evolution dynamics in nematic LCs by the phase-field model. We observe the annihilation of the topological charge, and the total number of charges decreases to two cores with time evolution in a disk. A significant decrease in charges is observed during the initial evolution. The positive topological charge and negative topological charge annihilate depending on the distance between two charges, which can be treated as the interaction force. The form of interaction force is similar to Coulomb’s law, but the force is inversely the distance of defects instead of the square of the distance in Coulomb’s law. Therefore, the present study contributes to the understanding of topological charge evolution dynamics and provides guidance for experiments to design in nematic LCs.

摘要

向列液晶 (LC) 通常包含整数和半整数拓扑电荷。在这项工作中，我们通过相场模型研究了向列液晶中的拓扑电荷演化动力学。我们观察到拓扑电荷的湮灭，随着时间的推移，磁盘中的电荷总数减少到两个核心。在最初的演变过程中观察到电荷的显着减少。正拓扑电荷和负拓扑电荷的湮灭取决于两个电荷之间的距离，可以看作是相互作用力。相互作用力的形式类似于库仑定律，但力是缺陷距离的倒数，而不是库仑定律中距离的平方。所以，