Molecular statistical theory for inhomogeneous nematic liquid crystals with boundary conditions
Molecular statistical theory for inhomogeneous nematic liquid crystals with boundary conditions
复制标题
边界条件非均匀向列液晶的分子统计理论
DOI：
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发表时间：
1977
期刊：
影响因子：
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通讯作者：
H. Schröder
中科院分区：
文献类型：
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作者：
H. Schröder
我们首先将细长圆柱对称分子之间的伦敦-货车德瓦耳斯色散力的多极展开作为两粒子相互作用的模型。由于两个分子的取向和位置，该势是旋转不变的和各向异性的。在接下来的步骤中，我们定义了一个自洽的描述取向排序。如果一种致热物质被两个平行的平板所包围，那么根据平板表面附近分子的排列，会诱导出一个优选的平衡取向方向。板附近的对齐将通过两粒子相互作用影响整个样品厚度的有序度。对于平行和垂直排列的两种情况下，我们描述了产生的非均匀相的局部变量序参数，并研究了温度依赖性的几个样品厚度。结果发现，平行于壁面排列所引起的有序化…
We start with a multipole expansion of the London‐van der Waals dispersion forces between elongated cylindrically symmetric molecules as a model for the two‐particle interaction. This potential is rotationally invariant and anisotropic due to both the orientation and the position of two molecules. In the next step we define a self‐consistent description of orientational ordering. If a nematogenic substance is bounded by two parallel plates, a preferred direction of equilibrium orientation is induced depending on the alignment of the molecules next to the surface of the plates. The alignment near the plates will effect the degree of order throughout the whole sample thickness via the two‐particle interaction. For the two cases of parallel and perpendicular alignment to the walls, we describe the resulting inhomogeneous phase by locally‐variable‐order parameters and investigate the temperature dependence for several sample thicknesses. It is found that the ordering induced by alignment parallel to the walls...