论文标题
在列壳中耦合拓扑缺陷阶段与外部曲率
Coupling topological defect phase to extrinsic curvature in nematic shells
论文作者
论文摘要
在二维列明中，拓扑缺陷就像具有电荷和相位的奇异性一样。我们研究圆柱体表面弯曲的列纹理内的拓扑缺陷。这使我们能够隔离外部曲率对拓扑缺陷的结构的影响。通过最大程度地减少与列在缺陷核心周围列表导演中的扭曲相关的能量，我们表明拓扑缺陷的相位与圆柱体的方向耦合。这种耦合取决于与列表导演的张力，弯曲和扭曲扭曲相关的相对能量成本。当扭曲变形占主导地位时，我们确定缺陷阶段的双重性。最后，我们对整数电荷拓扑缺陷显示出类似的效果。
In two dimensional nematics, topological defects are point like singularities with both a charge and a phase. We study topological defects within curved nematic textures on the surface of a cylinder. This allows us to isolate the effect of extrinsic curvature on the structure of the topological defect. By minimizing the energy associated with distortions in the nematic director around the core of a defect we show that the phase of the topological defect is coupled to the orientation of the cylinder. This coupling depends on the relative energetic cost associated with splay, bend and twist distortions of the nematic director. We identify a bistability in the phase of the defects when twist deformations dominate. Finally, we show a similar effect for integer charge topological defects.
