Nestler Michael, Nitschke Ingo, Löwen Hartmut, Voigt Axel
Institut für Wissenschaftliches Rechnen, Technische Universität Dresden, 01062 Dresden, Germany.
Institut für Theoretische Physik II - Soft Matter, Heinrich-Heine-Universität Düsseldorf, 40225 Düsseldorf, Germany.
Soft Matter. 2020 Apr 29;16(16):4032-4042. doi: 10.1039/c9sm02475a.
Uniaxial nematic liquid crystals whose molecular orientation is subjected to tangential anchoring on a curved surface offer a non trivial interplay between the geometry and the topology of the surface and the orientational degree of freedom. We consider a general thin film limit of a Landau-de Gennes Q-tensor model which retains the characteristics of the 3D model. From this, previously proposed surface models follow as special cases. We compare fundamental properties, such as the alignment of the orientational degrees of freedom with principle curvature lines, order parameter symmetry and phase transition type for these models, and suggest experiments to identify suitable model assumptions.
分子取向在曲面上受到切向锚定作用的单轴向列型液晶，在曲面的几何形状、拓扑结构与取向自由度之间呈现出一种复杂的相互作用。我们考虑了Landau-de Gennes Q张量模型的一般薄膜极限情况，该极限保留了三维模型的特征。由此，先前提出的表面模型作为特殊情况随之而来。我们比较了这些模型的基本性质，比如取向自由度与主曲率线的对齐情况、序参量对称性和相变类型，并提出了一些实验来确定合适的模型假设。
