论文标题

接触定理以获取硬壁附近的各向异性流体

Contact theorems for anisotropic fluids near a hard wall

论文作者

Holovko, M., di Caprio, D.

论文摘要

在本文中,从诞生的绿色 - 尤冯(BGY)方程式开始,我们得出了各向异性流体附近单线分布函数的接触函数的一般表达式。这种关系包括两个单独的贡献。一个相对于分子的给定取向,将一个连接到部分体积压力。第二个连接到锚定现象,其特征是分子与壁之间的直接相互作用。然后,从这个关系中,我们为密度和顺序参数剖面的触点定理制定了接触定理。结果在硬壁附近的列液体的情况下进行了说明。

In this paper, starting from the Born-Green-Yvon (BGY) equation, we derive a general expression for the contact value of the singlet distribution function near a hard wall for anisotropic fluids. This relation includes two separate contributions. One is connected to the partial bulk pressure relative to a given orientation of the molecules. The second one is connected to the anchoring phenomena and is characterized by the direct interaction between the molecules and the wall. From this relation, we then formulate the contact theorem for the density and the order parameter profiles. The results are illustrated on the case of a nematic fluid near a hard wall.

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