论文标题
液晶的广义弹性中的不均匀的局部变形
Non-uniform localised distortions in generalised elasticity for liquid crystals
论文作者
论文摘要
我们分析了列加（Virga）在列表主管的空间梯度中掉落的液晶和落入四分位功能类别的液晶的最新广义自由能。我们回顾了一些知名的有趣解决方案，即。例如，均匀的螺旋结构，我们发现了新的液晶构型，它们与一些新颖的，实验检测到的结构，称为天空管。这些新配置的特征是由锥形角度变化给出的局部模式。我们研究平衡微分方程，并找到数值解和分析近似值。
We analyse a recent generalised free-energy for liquid crystals posited by Virga and falling in the class of quartic functionals in the spatial gradients of the nematic director. We review some known interesting solutions, i. e., uniform heliconical structures, and we find new liquid crystal configurations, which closely resemble some novel, experimentally detected, structures called Skyrmion tubes. These new configurations are characterised by a localised pattern given by the variation of the conical angle. We study the equilibrium differential equations and find numerical solutions and analytical approximations.
