Geometry and mechanics of disclination lines in 3D nematic liquid crystals
Geometry and mechanics of disclination lines in 3D nematic liquid crystals
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DOI：
10.1039/d0sm01899f
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发表时间：
2021-02-28
期刊：
影响因子：
3.4
通讯作者：
Selinger, Jonathan, V
中科院分区：
文献类型：
--
作者：
Long, Cheng;Tang, Xingzhou;Selinger, Jonathan, V
在三维向列液晶中，偏斜线具有一系列的几何结构。局部，它们可能类似于2D向列相中的+1/2或-1/2缺陷，或者它们可能具有3D扭曲。在这里，我们从衍射中心周围的方向变形模式以及衍射中心内的向列阶张量的角度分析了该结构。在此基础上，我们构造了一个矢量来表示偏差的方向，以及张量来表示高阶结构。我们将这种方法应用于三维斜拱的模拟，并确定了结构沿轮廓长度的变化。然后，我们使用这种几何分析来研究作用在斜面上的三种类型的力：由于外部应力引起的Peach-Koehler力，斜面线之间的相互作用力和主动力。这些结果适用于传统液晶和活动液晶中偏斜线的运动。
In 3D nematic liquid crystals, disclination lines have a range of geometric structures. Locally, they may resemble +1/2 or -1/2 defects in 2D nematic phases, or they may have 3D twist. Here, we analyze the structure in terms of the director deformation modes around the disclination, as well as the nematic order tensor inside the disclination core. Based on this analysis, we construct a vector to represent the orientation of the disclination, as well as tensors to represent higher-order structure. We apply this method to simulations of a 3D disclination arch, and determine how the structure changes along the contour length. We then use this geometric analysis to investigate three types of forces acting on a disclination: Peach-Koehler forces due to external stress, interaction forces between disclination lines, and active forces. These results apply to the motion of disclination lines in both conventional and active liquid crystals.