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首页> 外文期刊>Proceedings of the National Academy of Sciences of the United States of America >Electric fields yield chaos in microflows
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Electric fields yield chaos in microflows

机译：电场在微流中产生混乱

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摘要

We present an investigation of chaotic dynamics of a low Reynolds number electrokinetic flow. Electrokinetic flows arise due to couplings of electric fields and electric double layers. In these flows, applied (steady) electric fields can couple with ionic conductivity gradients outside electric double layers to produce flow instabilities. The threshold of these instabilities is controlled by an electric Rayleigh number, Ra_e. As Ra_e increases monotonicaily, we show here flow dynamics can transition from steady state to a time-dependent periodic state and then to an aperiodic, chaotic state. Interestingly, further monotonic increase of Ra_e shows a transition back to a well-ordered state, followed by a second transition to a chaotic state. Temporal power spectra and time-delay phase maps of low dimensional attractors graphically depict the sequence between periodic and chaotic states. To our knowledge, this is a unique report of a low Reynolds number flow with such a sequence of periodic-to-aperiodic transitions. Also unique is a report of strange attractors triggered and sustained through electric fluid body forces.
机译：我们目前对低雷诺数电动流的混沌动力学进行了研究。电动势流是由于电场和双电层的耦合而产生的。在这些流动中，施加的（稳定）电场可与双电层外部的离子电导率梯度耦合，从而产生流动不稳定性。这些不稳定性的阈值由电瑞利数Ra_e控制。当Ra_e单调增加时，我们显示此处的流体动力学可以从稳态过渡到与时间有关的周期性状态，然后过渡到非周期性的混沌状态。有趣的是，Ra_e的进一步单调增加表明，它返回到有序状态，然后又发生第二次转变为混沌状态。低维吸引子的时间功率谱和时延相位图以图形方式描绘了周期性和混沌状态之间的顺序。据我们所知，这是一个低雷诺数流的独特报告，它具有这样的周期到非周期的过渡序列。同样独特的是关于通过电动体力触发和维持的奇怪吸引子的报告。

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