论文标题
三维近晶液晶内近晶晶界和跨四缘披露线的拓扑精细结构
Topological fine structure of smectic grain boundaries and tetratic disclination lines within three-dimensional smectic liquid crystals
论文作者
论文摘要
观察和表征受外部约束的液晶的复杂排序现象构成了化学家和物理学家的持续挑战。为了阐明当近晶液体晶体的内在位置发挥作用时，我们会在具有圆柱体对称性的一系列空腔中对棒状颗粒进行蒙特卡洛模拟。基于对二维元素晶界拓扑的最新见解，我们从四维对称性的角度分析了出现的三维缺陷结构。使用由Steinhardt阶订单参数构建的适当的三维四维阶阶参数，我们表明这些晶界可以解释为位于列马域边界边缘上的一对四型披露线。因此，我们阐明了三维密闭晶体中晶界的精细结构。
Observing and characterizing the complex ordering phenomena of liquid crystals subjected to external constraints constitutes an ongoing challenge for chemists and physicists alike. To elucidate the delicate balance appearing when the intrinsic positional order of smectic liquid crystals comes into play, we perform Monte-Carlo simulations of rod-like particles in a range of cavities with a cylindrical symmetry. Based on recent insights into the topology of smectic orientational grain boundaries in two dimensions, we analyze the emerging three-dimensional defect structures from the perspective of tetratic symmetry. Using an appropriate three-dimensional tetratic order parameter constructed from the Steinhardt order parameters, we show that those grain boundaries can be interpreted as a pair of tetratic disclination lines that are located on the edges of the nematic domain boundary. Thereby, we shed light on the fine structure of grain boundaries in three-dimensional confined smectics.
