论文标题

由磁场诱导的四位无元壳壳中的结构转化

Structural transformations in tetravalent nematic shells induced by a magnetic field

论文作者

Ishii, Yoko, Zhou, Ye, He, Kunyun, Takanishi, Yoichi, Yamamoto, Jun, de Pablo, Juan, Lopez-Leon, Teresa

论文摘要

在过去的理论工作中,已经研究了应用领域在局限于壳几何形状的液晶结构上的作用,从而提供了产生具有控制缺陷结构或价的液晶壳的策略。但是,尚未对此类研究的预测进行实验探索。在这项工作中,我们使用实验和模拟研究了在较强的均匀磁场下,在较强的均匀磁场下通过四型nematic液晶壳进行的结构变化。我们考虑了两种不同的情况,就壳的几何形状和初始缺陷对称性而言:i)在四面体排列中具有四个s = +1/2缺陷的均匀壳,以及ii)不均匀的壳,其中四个s = +1/2缺陷,它们位于其薄零件中。与以前的理论结果一致,我们观察到,在缺陷向极点迁移的过程中,初始缺陷结构演变成躁郁症。有趣的是,我们发现缺陷轨迹和动力学受曲率壁的控制,这些曲率壁是通过成对连接缺陷的。基于BS之间的角度,磁场表面上的磁场的局部投影以及描述缺陷取向的向量N+ 1/2,我们能够预测这些反转壁的性质和形状,因此可以预测缺陷的轨迹和动力学。该规则基于对称性参数,与实验和模拟都一致,并且适用于厚度均匀或不均匀的壳。通过修改BS和N+1/2之间的角度,我们能够以控制的方式诱导通往最终双极状态的复杂途径。在不均匀的壳的情况下,壳的特定对称性使我们能够首次观察杂种弯曲的Helfrich壁。

The role of applied fields on the structure of liquid crystals confined to shell geometries has been studied in past theoretical work, providing strategies to produce liquid crystal shells with controlled defect structure or valence. However, the predictions of such studies have not been experimentally explored yet. In this work, we study the structural transformations undergone by tetravalent nematic liquid crystal shells under a strong uniform magnetic field, using both experiments and simulations. We consider two different cases in terms of shell geometry and initial defect symmetry: i) homogeneous shells with four s = +1/2 defects in a tetrahedral arrangement, and ii) inhomogeneous shells with four s = +1/2 defects localized in their thinner parts. Consistently with previous theoretical results, we observe that the initial defect structure evolves into a bipolar one, in a process where the defects migrate towards the poles. Interestingly, we find that the defect trajectories and dynamics are controlled by curvature walls that connect the defects by pairs. Based on the angle between Bs, the local projection of the magnetic field on the shell surface, and n+ 1/2 , a vector describing the defect orientations, we are able to predict the nature and shape of those inversion walls, and therefore, the trajectory and dynamics of the defects. This rule, based on symmetry arguments, is consistent with both experiments and simulations and applies for shells that are either homogeneous or inhomogeneous in thickness. By modifying the angle between Bs and n+1/2, we are able to induce, in controlled way, complex routes towards the final bipolar state. In the case of inhomogeneous shells, the specific symmetry of the shell allowed us to observe a hybrid splay-bend Helfrich wall for the first time.

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