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arXiv 2009.12946cond-mat.soft
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空间变化的基底锚定对Nematic Liquid Crystal薄膜不稳定性和去湿的影响

Effects of spatially-varying substrate anchoring on instabilities and dewetting of thin Nematic Liquid Crystal films

M. Lam, L. Kondic, L. Cummings

摘要:

部分润湿的非晶态液晶(NLC)薄膜在基底上是不稳定的去湿型不稳定性,由于不稳定的固体/NLC相互作用力。这些不稳定性被修改的薄膜,这影响了有效的固体/NLC相互作用的可伸缩性。在这项工作中,我们专注于施加衬底锚定的不稳定性发展的影响。进行分析的基础上的Leslie-Ericksen描述的NLC膜的长波配方内。所得方程的线性稳定性分析表明,不稳定的一些功能,如新兴的波长,可能不会受到施加的衬底锚定。进一步进入非线性制度,考虑通过大规模的基于GPU的模拟,然而,显示非线性效应可能发挥重要作用,特别是在强衬底锚定各向异性的情况下。我们的模拟结果表明,不稳定的膜开发在两个阶段:第一阶段涉及形成的脊是垂直于本地锚定方向;和第二涉及这些脊和形成的下降,其最终分布的影响由基板施加的各向异性。最后,我们表明,实施更复杂的基板各向异性图案,使我们能够达到基本的理解基板施加的缺陷方向上的不稳定性演变的影响。

英文摘要:

Partially wetting nematic liquid crystal (NLC) films on substrates are unstable to dewetting-type instabilities due to destablizing solid/NLC interaction forces. These instabilities are modified by the nematic nature of the films, which influences the effective solid/NLC interaction. In this work, we focus on the influence of imposed substrate anchoring on the instability development. The analysis is carried out within a long-wave formulation based on the Leslie-Ericksen description of NLC films. Linear stability analysis of the resulting equations shows that some features of the instability, such as emerging wavelengths, may not be influenced by the imposed substrate anchoring. Going further into the nonlinear regime, considered via large-scale GPU-based simulations, shows however that nonlinear effects may play an important role, in particular in the case of strong substrate anchoring anisotropy. Our simulations show that instability of the film develops in two stages: the first stage involves formation of ridges that are perpendicular to the local anchoring direction; and the second involves breakup of these ridges and formation of drops, whose final distribution is influenced by the anisotropy imposed by the substrate. Finally, we show that imposing more complex substrate anisotropy patterns allows us to reach basic understanding of the influence of substrate-imposed defects in director orientation on the instability evolution.

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