Anisotropic disclination cores in nematic liquid crystals modeled by a self-consistent molecular field theory.,Physical Review E

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Anisotropic disclination cores in nematic liquid crystals modeled by a self-consistent molecular field theory.
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-30 , DOI: 10.1103/physreve.102.010701
Cody D Schimming ₁ , Jorge Viñals ₁

Affiliation

Disclination configurations of a nematic liquid crystal are studied within a self-consistent molecular field theory. The theory is based on a tensor order parameter, and can accommodate anisotropic elastic energies without the known divergences in the Landau–de Gennes formulation. Our results agree with the asymptotic results of Dzyaloshinskii for the Frank-Oseen energy far from the defect core, but reveal biaxial order at intermediate distances from the core, crossing over to uniaxial but axisymmetric configurations as the core is approached. The elastic terms considered in our energy allow for the separate control of surface tension, anchoring, and elasticity contrast, and are used to analyze recent results for lyotropic chromonic liquid crystals. The latter display unusually large defect cores (on the order of tens of microns) which can be used for a quantitative comparison with the theory. Both

\pm 1 / 2

disclination configurations are well reproduced by our calculations. Elastic anisotropy is also shown to lead to qualitative changes in the disclination polarization, a quantity that is proportional to the active stress in models of active matter.

中文翻译：

通过自洽分子场理论建模的向列型液晶中的各向异性旋错核心。

在自洽分子场论中研究了向列液晶的向错构型。该理论基于张量阶数参数，并且可以容纳各向异性弹性能，而在Landau-de Gennes公式中没有已知的发散。我们的结果与Dzyaloshinskii对于远离缺陷核的Frank-Oseen能量的渐近结果相一致，但是揭示了在距岩心的中间距离处的双轴顺序，并随着接近岩心而转变为单轴但轴对称的构型。在我们的能量中考虑的弹性项可以单独控制表面张力，锚固和弹性对比度，并用于分析溶致发色液晶的最新结果。后者显示出异常大的缺陷芯（大约数十微米），可用于与理论进行定量比较。都