曲率对油炸圈饼的影响
The effect of curvature on cholesteric doughnuts
摘要：
将液晶限制在弯曲的几何形状内导致了奇异的结构，其应用范围从生物传感器到光学开关和隐私窗口。在这里，我们研究曲率如何影响胆甾相液晶的取向。我们使用Landau-de Gennes模型在中尺度上模拟系统。我们的研究分三个阶段进行，分析不同的弯曲几何形状，从圆柱形壁和孔，环形域，以隔离曲率的影响。我们的研究结果表明，由曲率引入的应力影响的液晶分子的取向，并导致扭曲的自然周期性的液晶，这取决于曲率半径和间距和系统的尺寸之间的可伸缩性。特别地，环形液滴的双层表现出在圆柱形孔中看不到的对称性破坏，并且由额外的曲率驱动。
英文摘要：
The confinement of liquid crystals inside curved geometries leads to exotic structures, with applications ranging from bio-sensors to optical switches and privacy windows. Here we study how curvature affects the alignment of a cholesteric liquid crystal. We model the system on the mesoscale using the Landau-de Gennes model. Our study was performed in three stages, analysing different curved geometries from cylindrical walls and pores, to toroidal domains, in order to isolate the curvature effects. Our results show that the stresses introduced by the curvature influence the orientation of the liquid crystal molecules, and cause distortions in the natural periodicity of the cholesteric that depend on the radius of curvature and on the commensurability between the pitch and the dimensions of the system. In particular, the cholesteric layers of toroidal droplets exhibit a symmetry breaking not seen in cylindrical pores and that is driven by the additional curvature.
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