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Recent advances in theoretical liquid crystal rheology

机译：理论液晶流变学的最新进展

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Recent significant advances in theoretical liquid crystalline rheology are presented. Dynamic simulations are performed using a complete theory which include the three major effects of liquid crystalline materials: (I) short range order elasticity, (2) long range order elasticity, and (3) viscous flow effects. The results and discussions include rectilinear simple shear flow, complex non-linear phenomena such as defect texture generation and coarsening processes under quiescent and shear conditions, and pattern formation such as banded texture during and after cessation of flow. The complete theory predicts four in-plane (1-D orientation) flow modes and five out-of-plane (2-D orientation) flow modes in one-dimensional shear flow, depending on the magnitudes of R (ratio of short to long range order elasticity) and Er (Ericksen number: ratio of viscous to elastic force). The multistability of these flow modes is clearly explained in terms of degrees of freedoms in the nematic orientation. The number of degrees of freedom increases with increasing the spatial dimension of the system, and thus more complex orientation patterns arise in the higher dimension. Well-known defect structures arise and coarsen during simulations of the isotropic to nematic phase transition. The effect of shear flow on the defect generation process is to suppress the defect nucleation, and the simulations suggest a method of how to create defect-free nematic samples. The banded textures during and after cessation of flow are also captured by the complete theory. [References: 32]
机译：介绍了理论液晶流变学的最新重大进展。使用完整的理论进行动态模拟，其中包括液晶材料的三个主要作用：（I）短程有序弹性，（2）长程有序弹性和（3）粘滞流动效应。结果和讨论包括直线简单剪切流，复杂的非线性现象（例如在静态和剪切条件下缺陷纹理的生成和粗糙化过程）以及图案的形成（例如在停止流动期间和之后流动的带状纹理）。完整的理论根据R的大小（长短比）预测一维剪切流中的四个面内（1-D定向）流动模式和五个面外（2-D定向）流动模式。范围阶弹性）和Er（埃里克森数：粘弹性比）。这些流动模式的多重稳定性可以根据向列方向的自由度清楚地解释。自由度的数量随着系统的空间尺寸的增加而增加，因此在更高的尺寸中会出现更复杂的定向模式。在各向同性向列相变的模拟过程中，众所周知的缺陷结构会出现并变粗糙。剪切流对缺陷产生过程的影响是抑制缺陷成核，并且仿真提出了一种如何创建无缺陷向列样品的方法。完全理论还可以捕获流动停止期间和之后的带状纹理。 [参考：32]

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