论文标题
3D列明液晶中的披露线的几何学和力学
Geometry and mechanics of disclination lines in 3D nematic liquid crystals
论文作者
论文摘要
在3D列液晶中，披露线具有一系列几何结构。在本地，它们可能类似于$+1/2 $或$ -1/2 $ $ -1/2 $的缺陷，或者可能具有3D扭曲。在这里，我们通过围绕披露的董事变形模式以及披露核心内的列级张量分析结构。基于此分析，我们构造了一个向量来表示披露的方向，以及张量代表高阶结构。我们将此方法应用于3D披露拱门的模拟，并确定结构如何沿轮廓长度变化。然后，我们使用这种几何分析来研究作用于披露的三种类型的力：由于外部压力而导致的桃子koehler力，披露线之间的相互作用和主动力。这些结果适用于常规液晶和活性液晶中的披露线运动。
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.
