Kaiser A, Popowa K, Wensink H H, Löwen H
Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Aug;88(2):022311. doi: 10.1103/PhysRevE.88.022311. Epub 2013 Aug 21.
Catching fish with a fishing net is typically done either by dragging a fishing net through quiescent water or by placing a stationary basket trap into a stream. We transfer these general concepts to micron-sized self-motile particles moving in a solvent at low Reynolds number and study their collective trapping behavior by means of computer simulations of a two-dimensional system of self-propelled rods. A chevron-shaped obstacle is dragged through the active suspension with a constant speed v and acts as a trapping "net." Three trapping states can be identified corresponding to no trapping, partial trapping, and complete trapping and their relative stability is studied as a function of the apex angle of the wedge, the swimmer density, and the drag speed v. When the net is dragged along the inner wedge, complete trapping is facilitated and a partially trapped state changes into a complete trapping state if the drag speed exceeds a certain value. Reversing the drag direction leads to a reentrant transition from no trapping to complete trapping and then back to no trapping upon increasing the drag speed along the outer wedge contour. The transition to complete trapping is marked by a templated self-assembly of rods forming polar smectic structures anchored onto the inner contour of the wedge. Our predictions can be verified in experiments of artificial or microbial swimmers confined in microfluidic trapping devices.
用渔网捕鱼通常有两种方式,要么是在静止的水中拖动渔网,要么是在溪流中放置固定的笼式陷阱。我们将这些一般概念应用于在低雷诺数溶剂中移动的微米级自驱动粒子,并通过对自推进杆二维系统的计算机模拟来研究它们的集体捕获行为。一个人字形障碍物以恒定速度v在活性悬浮液中拖动,充当捕获“网”。可以识别出三种捕获状态,分别对应无捕获、部分捕获和完全捕获,并研究了它们的相对稳定性与楔角、游动者密度和拖动速度v的函数关系。当网沿着内楔拖动时,有利于完全捕获,如果拖动速度超过某个值,部分捕获状态会转变为完全捕获状态。反转拖动方向会导致一个折返转变,即从无捕获到完全捕获,然后在沿着外楔轮廓增加拖动速度时又回到无捕获。向完全捕获的转变以杆的模板化自组装为标志,形成锚定在楔内轮廓上的极性近晶结构。我们的预测可以在限制在微流体捕获装置中的人工或微生物游动者的实验中得到验证。