法拉第波接触线剪切梯度诱导流动和示踪剂的自组织：从旋转环到螺旋星系状图案
Faraday-waves contact-line shear gradient induces streaming flow and tracers' self-organization: from rotating rings to spiral galaxy-like patterns
摘要：
在这封信中，我们实验证明了在一个狭窄的容器中的纵向法拉第波的作用下的小示踪剂的自组织。我们观察到一个恒定电流的形成划分在小细胞的法拉第波的对称性的接口。这些流动电流在每个单元中旋转，并且它们的循环随着波幅而增加。这种流动驱动示踪剂形成图案，其形状取决于法拉第波的振幅：从低到高振幅，我们发现分散的示踪剂，一个狭窄的旋转环和螺旋星系状图案。本文首先描述了地震波的主要模式特征，并对地震波和示踪剂的运动进行了描述。然后，我们实验表明，主要来源的流来自于时间和空间相关的剪切壁接触线，由法拉第波本身创建。最后，我们提出了一个2D模型，认为在法拉第实验中存在的最小成分，即静止循环，拉伸组件由于振荡波和稳定的收敛场，结合产生所观察到的自组织模式。
英文摘要：
In this letter we experimentally demonstrate self-organization of small tracers under the action of longitudinal Faraday waves in a narrow container. We observe a steady current formation dividing the interface in small cells given by the symmetries of the Faraday wave. These streaming currents are rotating in each cell and their circulation increases with wave amplitude. This streaming flow drives the tracers to form patterns, whose shapes depend on the Faraday wave's amplitude: from low to high amplitudes we find dispersed tracers, a narrow rotating ring and a spiral galaxy-like pattern. We first describe the main pattern features, and characterize the wave and tracers' motion. We then show experimentally that the main source of the streaming flow comes from the time and spatial dependent shear at the wall contact line, created by the Faraday wave itself. We end by presenting a 2D model that considers the minimal ingredients present in the Faraday experiment, namely the stationary circulation, the stretching component due to the oscillatory wave and a steady converging field, which combined produce the observed self-organized patterns.
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