论文标题

在微颗粒悬浮的列液液晶体细胞中形成快速“车道”用于位置过渡

Formation of a fast "lane" for positional transition in a microparticle-suspended nematic liquid crystal cell

论文作者

Xiao, Ke, Chen, Xi, Cao, Xuezheng, Wu, Chen-Xu

论文摘要

在本文中,基于利用绿色功能方法的总能量计算的数值计算,我们发现,外部电场应用于微粒 - 悬浮的列液晶晶体细胞,如果达到临界值,以及其方向,表面锚定特征和分子介电各向异性,则可以创建一个偶然的词汇,以循环为单位。由不对称浮力驱动的微粒可以从细胞的中平面迅速移动到新的平衡位置,从而触发了作者先前发现的位置过渡。这种新的平衡位置是通过弹性力与沿“车道”弹性能梯度在微颗粒上建立的有效力之间的竞争决定的。外部磁场的阈值取决于厚度$ l $和坦克弹性常数$ k $,并以类似于fréedericksz的方式略微略微取决于微粒大小和密度,但要以一个因素为单位。对于具有平面表面对齐的列液晶体细胞,当施加的电场的方向(a)垂直于(a)垂直于两个板的阳性分子介电向向异性,或与两个平板平行的(b)平行于两个平板和与负分子的细胞相似的分子介电向方向时,可以找到过渡的双重平衡结构。除了形成垂直快速的“车道”外,当施加的电场平行于两个板和垂直于锚固方向时,悬浮在列液晶晶体中的微粒倾向于将其捕获在平面中,而与分子介电异构的符号无关。这种现象也发生在负分子介电各向异性时,而外部垂直于两个板的外部也发生。

In this paper, based on the numerical calculation of total energy utilizing the Green's function method, we found that the external electric field applied to a microparticle-suspended nematic liquid crystal cell, if reaching a critical value, combined with its direction, surface anchoring feature and molecular dielectric anisotropy, is possible to create an anisotropic "bubble" around the microparticle with a vertical fast "lane", in which the microparticle can, driven by the asymmetric buoyant force, vertically move swiftly from the cell's midplane to a new equilibrium position, triggering a positional transition discovered by the author previously. Such a new equilibrium position is decided via a competition between the buoyant force and the effective force built upon the microparticle by the elastic energy gradient along the "lane". The threshold value of external field, depends on thickness $L$ and Frank elastic constant $K$ and slightly on the microparticle size and density, in a Fréedericksz-like manner, but by a factor. For a nematic liquid crystal cell with planar surface alignment, a bistable equilibrium structure for the transition is found when the direction of the applied electric field is (a) perpendicular to the two plates of the cell with positive molecular dielectric anisotropy, or (b) parallel to the two plates and the anchoring direction of the cell with negative molecular dielectric anisotropy. Except for the formation of a vertical fast "lane", when the electric field applied is parallel to both the two plates and perpendicular to the anchoring direction, the microparticle suspended in the nematic liquid crystal tends to be trapped in the midplane, regardless of the sign of the molecular dielectric anisotropy. Such phenomenon also occurs for negative molecular dielectric anisotropy while the external is applied perpendicular to the two plates.

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