Liquid crystal torons in Poiseuille-like flows

Guilherme N. C. Amaral, Hanqing Zhao, Mahmoud Sedahmed, Tomás Campante, Ivan I. Smalyukh, Mykola Tasinkevych, Margarida M. Telo da Gama, Rodrigo C. V. Coelho
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Abstract

Three-dimensional (3D) simulations of the structure of liquid crystal (LC) torons, topologically protected distortions of the LC director field, under material flows are rare but essential in microfluidic applications. Here, we show that torons adopt a steady-state configuration at low flow velocity before disintegrating at higher velocities, in line with experimental results. Furthermore, we show that under partial slip conditions at the boundaries, the flow induces a reversible elongation of the torons, also consistent with the experimental observations. These results are in contrast with previous simulation results for 2D skyrmions under similar flow conditions, highlighting the need for a 3D description of this LC soliton in relation to its coupling to the material flow. These findings pave the way for future studies of other topological solitons, like hopfions and heliknotons, in flowing soft matter systems.
类波伊塞尔流中的液晶环
液晶环是液晶导向场的拓扑保护变形,在材料流下对液晶环结构进行三维(3D)模拟非常罕见,但在微流体应用中至关重要。此外,我们还表明,在边界部分滑移的条件下,流动会导致环的可逆伸长,这也与实验观察结果一致。这些结果与之前在类似流动条件下对二维天顶子的模拟结果形成了鲜明对比,突出了对这种低电孤子与材料流动耦合关系进行三维描述的必要性。这些发现为今后研究流动软物质系统中的其他拓扑孤子(如霍普菲翁和氦核子)铺平了道路。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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