Theory of director fluctuations about a hedgehog defect in a nematic drop
Theory of director fluctuations about a hedgehog defect in a nematic drop
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关于向列下降中刺猬缺陷的导向波动理论
DOI：
10.1103/physreve.105.044703
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发表时间：
2022
影响因子：
2.4
通讯作者：
Lubensky, T. C.
中科院分区：
文献类型：
--
作者：
Stenull, Olaf;de la Cotte, Alexis;Ettinger, Sophie;Collings, Peter J.;Yodh, A. G.;Lubensky, T. C.
我们计算了向列指向矢相对于被困在球形液滴中的径向刺猬的方位角和极向扭曲的本征模能量和波函数，其中球形液滴的核心有一个较小的同心球形液滴。液滴内部的所有表面都具有垂直（垂面）边界条件。我们还计算了指向矢相关函数及其弛豫时间。特别令人感兴趣的是一个临界模式的能量，与固定的弗兰克常数，消失的比率增加到一个临界值，其中是滴的半径和内部液滴的半径，然后成为负的。我们的计算形成的基础上解释实验测量的导演波动相对于径向刺猬状态在一个球形的下降。我们比较结果与以前的调查，它使用的计算方法不同于我们的，并与我们的实验观察。
We present calculations of eigenmode energies and wave functions of both azimuthal and polar distortions of the nematic director relative to a radial hedgehog trapped in a spherical drop with a smaller concentric spherical droplet at its core. All surfaces interior to the drop have perpendicular (homeotropic) boundary conditions. We also calculate director correlation functions and their relaxation times. Of particular interest is a critical mode whose energy, with fixed Frank constants, vanishes as the ratioincreases toward a critical value, whereis the radius of the drop andthat of the inner droplet, and then becomes negative for. Our calculations form a basis for interpreting experimental measurements of director fluctuations relative to a radial hedgehog state in a spherical drop. We compare results with those obtained by previous investigations, which use a calculational approach different from ours, and with our experimental observations.