Shortcomings of the Q Tensor Method for Modeling Liquid Crystal Devices
Shortcomings of the Q Tensor Method for Modeling Liquid Crystal Devices
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用于液晶器件建模的 Q 张量方法的缺点
DOI：
10.1889/1.1833994
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
P. Bos
中科院分区：
文献类型：
--
作者：
J. Anderson;P. Watson;P. Bos
因为用序参数张量q表示自由能保持了n和−n的等价性，而用指向矢表示自由能不是这样，所以人们认为张量方法更正确。我们发现，这种等价性可以导致模拟在拓扑不同的状态之间转换，而不会出现壁错，这是一种非物理情况。因此，在模拟器件时，通常给出的使用张量法的理由肯定是有缺陷的。由于向量法在数学上也更简单，计算速度更快，需要的网格点更少，因此它是建议的模拟方法。
Because writing the free energy in terms of the order parameter tensor, Q, maintains the equivalence of n and −n, while writing it in terms of the director, n does not, it has been thought that the tensor approach was more correct. We found that this equivalence can cause a simulation to transform between topologically inequivalent states without a wall disclination, a non‐physical situtation. The reasons usually given for using the tensor method thus must be flawed when simulating devices. Because the vector approach is also mathematically simpler, computationally faster and requires fewer grid points, it is the suggested simulation method.