arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2109.14543cond-mat.softmath-phmath.MP
收藏

受限近晶相液晶中取向缺陷的拓扑结构

Topology of orientational defects in confined smectic liquid crystals

Paul A. Monderkamp, René Wittmann, Louis B. G. Cortes, Dirk G. A. L. Aarts, Frank Smallenburg, Hartmut Löwen

摘要:

我们提出了一个一般的形式主义来表征取向挫折的近晶相液晶的限制,解释新兴的网络的晶界作为对象的拓扑电荷。在一个正式的理想化,这个电荷分布在四分之一整数大小的点状单位,我们确定与位于端点和节点的四次向错。这种共存的四阶和四阶的帮助下,广泛的蒙特卡罗模拟的二维限制的几何形状以及胶体实验分析,显示如何观察到的缺陷网络可以普遍重建从简单的积木。我们进一步发现,限制壁的曲率决定了晶界的锚定行为,这样新兴网络中的节点数量和端点的位置可以分别通过改变角的数量和光滑度来调整。

英文摘要:

We propose a general formalism to characterize orientational frustration of smectic liquid crystals in confinement by interpreting the emerging networks of grain boundaries as objects with a topological charge. In a formal idealization, this charge is distributed in point-like units of quarter-integer magnitude, which we identify with tetratic disclinations located at the end points and nodes. This coexisting nematic and tetratic order is analyzed with the help of extensive Monte Carlo simulations for a broad range of two-dimensional confining geometries as well as colloidal experiments, showing how the observed defect networks can be universally reconstructed from simple building blocks. We further find that the curvature of the confining wall determines the anchoring behavior of grain boundaries, such that the number of nodes in the emerging networks and the location of their end points can be tuned by changing the number and smoothness of corners, respectively.

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。

↑