Topological transition to a vortices lattice in a nematic liquid crystal cell

R. Gajardo-Pizarro, M. Clerc
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Abstract

By the application of electromagnetic fields onto an homeotropic nematic liquid crystal cell it is possible to induce vortices, which are particle-type defects with topological charge. The dynamics of the vortices is such that topological charge of the system is conserved, so these defects are always induced in pairs that annihilate after a short amount of time. Using a magnetic ring it is possible to induce a stable vortex triplet that allows the study of its dynamics, which is of an oscillatory kind when a low-frequency voltage is applied. Experimentally, we determine the region of parameters where the vortex triplet is stable, unstable, or becomes a lattice of vortices. We propose an amplitude equation which allow us to describe the vortex dynamics, and numerical simulations show agreement with experimental observations.
向列液晶单元中向涡晶格的拓扑转换
将电磁场作用于各向同性向列液晶单元上,可以诱导出具有拓扑电荷的粒子型缺陷涡。涡旋的动力学使得系统的拓扑电荷是守恒的,因此这些缺陷总是成对产生,并在短时间内湮灭。使用磁环可以诱导稳定的涡流三重态,从而可以研究其动力学,当施加低频电压时,这是一种振荡类型。实验上,我们确定了涡三重态稳定、不稳定或成为涡晶格的参数区域。我们提出了一个振幅方程,使我们能够描述涡旋动力学,数值模拟显示与实验观测相符。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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