套索鞍形展曲与拓扑缺陷的几何调控
Lassoing saddle splay and the geometrical control of topological defects
AI总结：
本文通过调控向列相液晶中孔洞阵列的几何形状和锚定条件，诱导鞍状形变并生成可调向错线阵列，为利用几何线索控制复杂弹性形变奠定基础。
摘要：
具有孔洞的体系，例如胶体环柄体和环形液滴，已在向列相液晶（NLC）4-氰基-4'-戊基联苯（5CB）中得到研究：在每个孔洞内部以及体系周围都可以出现点缺陷和环状拓扑缺陷，同时保持体系的总拓扑荷守恒。然而，尚未被充分认识的是，利用垂直（homeotropic）锚定条件来调控孔洞几何形状，从而诱导复杂的鞍状形变的能力。我们通过在NLC盒中悬浮一个孔洞阵列，并在盒边界施加取向平面（平行）锚定，来利用这一能力。我们研究了5CB以及双环己烷衍生物（CCN-47和CCN-55）的二元混合物。通过模拟和实验，我们研究了每个孔洞的体鞍形形变如何相互作用以产生新颖的缺陷结构，包括一个向错线阵列，令人联想到液晶蓝相中发现的那些结构。向错线的位置可以通过NLC弹性常数、盒几何形状以及阵列中孔洞的尺寸和间距来调节。这项研究为通过几何线索控制不同长度尺度的复杂弹性形变奠定了基础，这些材料在显示行业中因其稳定性和易于操控性而闻名。
英文摘要：
Systems with holes, such as colloidal handlebodies and toroidal droplets, have been studied in the nematic liquid crystal (NLC) 4-cyano-4'-pentylbiphenyl (5CB): both point and ring topological defects can occur within each hole and around the system, while conserving the system's overall topological charge. However, what has not been fully appreciated is the ability to manipulate the hole geometry with homeotropic (perpendicular) anchoring conditions to induce complex, saddle-like deformations. We exploit this by creating an array of holes suspended in an NLC cell with oriented planar (parallel) anchoring at the cell boundaries. We study both 5CB and a binary mixture of bicyclohexane derivatives (CCN-47 and CCN-55). Through simulations and experiments, we study how the bulk saddle deformations of each hole interact to create novel defect structures, including an array of disclination lines, reminiscent of those found in liquid crystal blue phases. The line locations are tunable via the NLC elastic constants, the cell geometry, and the size and spacing of holes in the array. This research lays the groundwork for the control of complex elastic deformations of varying length scales via geometrical cues in materials that are renowned in the display industry for their stability and easy manipulability.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
