论文标题
列型触觉人群
Nematic Tactoid Population
论文作者
论文摘要
触觉是指列型在各向同性液中的列液晶的纺锤样液滴。长期以来，在无机和有机列表中，在热型相以及裂解胶体聚集体中一直观察到它们。确定列液滴最佳形状的变异问题是可怕的，并且仅在选定的形状和导演字段中受到攻击。在这里，通过考虑一种新型的双极液滴溶液，我们研究了三个可能是最佳的三个平衡形状种群的流行率（主要是触觉）。我们展示了形状的流行率如何受材料的底量$ v_0 $和鞍形常数$ k_ {24} $的影响。尤其是小$ v_0 $和小$ k_ {24} $（适当缩放）的触觉。我们的形状类（和导演领域）与迄今为止揭示$ k_ {24} $的作用的人完全不同。
Tactoids are pointed, spindle-like droplets of nematic liquid crystal in an isotropic fluid. They have long been observed in inorganic and organic nematics, in thermotropic phases as well as lyotropic colloidal aggregates. The variational problem of determining the optimal shape of a nematic droplet is formidable and has only been attacked in selected classes of shapes and director fields. Here, by considering a novel class of admissible solutions for a bipolar droplet, we study the prevalence in the population of all equilibrium shapes of each of the three that may be optimal (tactoids primarily among them). We show how the prevalence of a shape is affected by the drop's volume $V_0$ and the saddle-splay constant $K_{24}$ of the material. Tactoids, in particular, prevail for small $V_0$ and small $K_{24}$ (appropriately scaled). Our class of shapes (and director fields) is sufficiently different from those employed so far to unveil a rather different role of $K_{24}$.
