论文标题
以自我一致的分子场理论建模的列液晶中的各向异性披露核心
Anisotropic disclination cores in nematic liquid crystals modelled by a self consistent molecular field theory
论文作者
论文摘要
在自洽的分子场理论中研究了列液晶的披露构型。该理论基于张量阶参数，并且可以容纳各向异性弹性能，而无需在Landau-de Gennes公式中具有已知差异。我们的结果与Dzyaloshinsky在Frank-Oseen能量中的渐近结果一致，远离缺陷核心，但在距离核心的中间距离处揭示了双轴顺序，越过了单轴，但是随着核心的接近，同型构型。我们的能量中考虑的弹性术语可以单独控制表面张力，锚定和弹性对比度，并用于分析溶裂性染色体液体晶体的最新结果。后者显示出异常较大的缺陷核（在数十微米的顺序上），可用于与该理论进行定量比较。 $ \ pm 1/2 $披露配置都是我们的计算很好地复制的。弹性各向异性还显示出导致披露极化的质量变化，该数量与活性物质模型中的活动应力成正比。
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 Dzyaloshinsky for the Frank-Oseen energy and far from the defect core, but reveal biaxial order at intermediate distances from the core, crossing over to uniaxial, but isotropic configurations as the core is approached. The elastic terms considered in our energy allow for 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.
