论文标题
薄列液晶层的介电圆度
Dielectrowetting of a thin nematic liquid crystal layer
论文作者
论文摘要
我们考虑了一个数学模型，该模型描述了放置在平坦底物上的列米液晶体（NLC）膜的流动，并在该底物上应用了空间变化的电势。由于其极性性质，NLC分子与产生的（非均匀）电场相互作用，从而导致扁平膜的不稳定性。长波缩放的实现会导致部分微分方程，以预测薄膜随后的时间演变。该方程与边界值问题耦合，该问题描述了NLC（主管场）的局部分子方向与电势之间的相互作用。我们以数值方式研究了一系列薄膜高度和表面锚定条件的最初扁平膜的行为。
We consider a mathematical model that describes the flow of a Nematic Liquid Crystal (NLC) film placed on a flat substrate, across which a spatially-varying electric potential is applied. Due to their polar nature, NLC molecules interact with the (nonuniform) electric field generated, leading to instability of a flat film. Implementation of the long wave scaling leads to a partial differential equation that predicts the subsequent time evolution of the thin film. This equation is coupled to a boundary value problem that describes the interaction between the local molecular orientation of the NLC (the director field) and the electric potential. We investigate numerically the behavior of an initially flat film for a range of film heights and surface anchoring conditions.
