Half-Integer Point Defects in the Q-Tensor Theory of Nematic Liquid Crystals
Half-Integer Point Defects in the Q-Tensor Theory of Nematic Liquid Crystals
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DOI：
10.1007/s00332-015-9271-8
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发表时间：
2014-03
影响因子：
3
通讯作者：
G. Fratta;J. Robbins;V. Slastikov;A. Zarnescu
中科院分区：
文献类型：
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作者：
G. Fratta;J. Robbins;V. Slastikov;A. Zarnescu
我们在朗道-德热尼斯理论的框架内研究了二维液晶中点缺陷的原型轮廓。利用指数 k/2 缺陷的边界条件特征，我们找到了由常微分方程组表征的 Landau-de Gennes 能量的临界点。在深层向列体系中，小，我们证明了这个临界点是朗道-德热讷能量的唯一全局极小值。对于这种情况，我们更详细地研究了弹性常数消失的情况，其中我们获得了三个显式的点缺陷轮廓，包括全局极小值。
We investigate prototypical profiles of point defects in two-dimensional liquid crystals within the framework of Landau–de Gennes theory. Using boundary conditions characteristic of defects of indexk/2, we find a critical point of the Landau–de Gennes energy that is characterised by a system of ordinary differential equations. In the deep nematic regime,small, we prove that this critical point is the unique global minimiser of the Landau–de Gennes energy. For the case, we investigate in greater detail the regime of vanishing elastic constant, where we obtain three explicit point defect profiles, including the global minimiser.