Hydrodynamics of polar liquid crystals.
Hydrodynamics of polar liquid crystals.
复制标题
极性液晶的流体动力学。
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
K. Saunders
中科院分区：
文献类型：
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作者：
W. Kung;M. Marchetti;K. Saunders
从微观上定义了与极化成正比的取向矢量，讨论了具有局部C无穷v对称性的极性液晶的流体力学性质。极性液晶的自由能与向列型液晶（D无穷h）的自由能不同，因为它包含违反n-->-n对称性的项。首先，我们证明了这些Z2奇项在一定的参数范围内诱导了均匀极化态的一般展曲不稳定性。接下来，我们使用一般的泊松括号形式推导系统的流体动力学方程的极化状态。线性流体动力学模式的结构证实了展曲不稳定性的存在。
Starting from a microscopic definition of an alignment vector proportional to the polarization, we discuss the hydrodynamics of polar liquid crystals with local C infinity v symmetry. The free energy for polar liquid crystals differs from that of nematic liquid crystals (D infinity h) in that it contains terms violating the n --> -n symmetry. First we show that these Z2-odd terms induce a general splay instability of a uniform polarized state in a range of parameters. Next we use the general Poisson-bracket formalism to derive the hydrodynamic equations of the system in the polarized state. The structure of the linear hydrodynamic modes confirms the existence of the splay instability.