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薄膜上的液晶向列构型

Liquid crystal nematic configurations on thin films
课程网址: http://videolectures.net/clc2010_kralj_lcotf/  
主讲教师: Samo Kralj
开课单位: 马里博尔大学
开课时间: 2010-08-05
课程语种: 英语
中文简介:
我们将关注表面几何形状对液晶薄膜中取向排序的影响。我们将关注通用机制,例如拓扑缺陷的合并和分裂,缺陷核心的重塑,缺陷的定位以及缺陷引起的全局系统转换。根据张量阶参数,在2D或3D Landau de Gennes理论的框架中分析所有现象。对于研究案例,我们讨论了未来的研究趋势和可能的应用。我们首先使用最近由Pavia小组开发的2D方法[1]来考虑可能的缺陷结构和各种几何形状的薄向列壳中的缺陷的合并。众所周知[2]球形薄膜的平衡结构表现出四个绕组数1/2的缺陷,它们位于正四面体的顶点,以最大化它们的相互距离。通过改变膜的几何形状,可以改变缺陷的位置和它们的结构。除此之外,我们还表明,对于足够长椭圆形壳体,四个缺陷在极点成对地合并,仅留下两个缺陷。接下来我们考虑外部场引起的缺陷核心的转换,缺陷的定位,以及3D中的缺陷引起或抑制的表面转变。为此,我们考虑一个混合圆柱形细胞,我们拓扑稳定上部围板中心的一个boojum [3]。如果施加外部电场,则根据场各向异性常数的符号,可以将boojum拉向细胞内部或从细胞中排出。颧骨的拉伸也伴随着缺陷核心的显着扩大。根据条件,boojum的存在可以显着增加或抑制外部场驱动的表面双轴过渡。最后,我们考虑薄膜中的温度驱动表面润湿和去湿转变。我们表明,对于适当的条件,表面和体相转变之间的温差可能会相对于已经报道的相关现象异常增加。
课程简介: We shall be concerned with the influence of surface geometry on orientational ordering in liquid crystal thin films. We will focus on universal mechanisms, such as merging and splitting of topological defects, reshaping of defect cores, positioning of defects and defect induced global system transformations. All phenomena are analyzed in the frame of 2D or 3D Landau-de Gennes theory in terms of a tensorial order parameter. For the cases studied we discuss future research trends and possible applications. We first consider possible defect structures and merging of defects in thin nematic shells of various geometries using a 2D approach [1], which has been recently developed by the Pavia group. It is well known [2] that the equilibrium texture of a spherical film exhibits four defects of winding number 1/2 sitting at the vertices of a regular tetrahedron to maximize their mutual distance. By varying the film geometry, the position of the defects and their structure could be altered. Among others things, we show that for sufficiently prolate ellipsoidal shells the four defects merge pairwise at the poles leaving only two +1 defects. We next consider external field induced transformations of defect cores, positioning of defects, and defect induced or suppressed surface transitions in 3D. For this purpose we consider a hybrid cylindrical cell where we topologically stabilize a boojum in the center of the upper confining plate [3]. If an external electric field is applied, the boojum could be either stretched towards the cell interior or expelled from the cell, depending on the sign of the field anisotropy constant. The stretching of the boojum is also accompanied by a substantial widening of the defect core. Depending on conditions, the presence of the boojum could either substantially increase or depress an external field driven surface biaxial transition. Finally we consider temperature driven surface wetting and dewetting transitions in a thin film. We show that for appropriate conditions the temperature difference between the surface and bulk phase transition could be anomalously increased with respect to already reported related phenomena.
关 键 词: 液晶薄膜; 机制; 拓扑缺陷
课程来源: 视频讲座网
最后编审: 2019-03-02:cwx
阅读次数: 86