首页> 外文期刊>International Journal of Molecular Sciences >Steady State–Hopf Mode Interactions at the Onset of Electroconvection in the Nematic Liquid Crystal Phase V
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Steady State–Hopf Mode Interactions at the Onset of Electroconvection in the Nematic Liquid Crystal Phase V

机译:向列液晶V相中电对流开始时的稳态-霍夫模式相互作用

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We report on a new mode interaction found in electroconvection experiments on the nematic liquid crystal mixture Phase V in planar geometry. The mode interaction (codimension two) point occurs at a critical value of the frequency of the driving AC voltage. For frequencies below this value the primary pattern-forming instability at the onset voltage is an oblique stationary instability involving oblique rolls, and above this value it is an oscillatory instability giving rise to normal traveling rolls (oriented perpendicular to and traveling in the director direction). The transition has been confirmed by measuring the roll angle and the dominant frequency of the time series, as both quantities exhibit a discontinuous jump across zero when the AC frequency is varied near threshold. The globally coupled system of Ginzburg–Landau equations that qualitatively describe this mode interaction is constructed, and the resulting normal form, in which slow spatial variations of the mode amplitudes are ignored, is analyzed. This analysis shows that the Ginzburg–Landau system provides the adequate theoretical description for the experimentally observed phenomenon. The experimentally observed patterns at and higher above the onset allow us to narrow down the range of the parameters in the normal form.
机译:我们报告了在对流液晶混合物相V在平面几何中的对流实验中发现的新模式相互作用。模式交互作用(第二维)点出现在驱动交流电压频率的临界值处。对于低于此值的频率,起始电压下主要的图形形成不稳定性是涉及倾斜辊的倾斜静止不稳定性,而高于该值,则是振荡不稳定性,从而导致正常的行进辊(垂直于指向矢方向并沿指向矢方向行进) 。通过测量滚动角和时间序列的主导频率可以确认过渡,因为当交流频率在阈值附近变化时,这两个量都显示出不连续的跨越零的跳跃。构建了定性描述该模式相互作用的Ginzburg-Landau方程的全局耦合系统,并分析了由此产生的法线形式,其中忽略了模式振幅的缓慢空间变化。该分析表明,Ginzburg-Landau系统为实验观察到的现象提供了足够的理论描述。通过实验观察到的发病率以及发病率以上的模式,可以缩小正常形式的参数范围。

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