论文标题

在流体流中向自螺旋颗粒的传输障碍

Transport barriers to self-propelled particles in fluid flows

论文作者

Berman, Simon A., Buggeln, John, Brantley, David A., Mitchell, Kevin, Solomon, Thomas H.

论文摘要

我们提出了理论和实验,证明了不变的流形的存在,这些流形会阻碍微武器在二维流体流中的运动。单向障碍物在双曲流体流动中显而易见,该流动流量阻碍了光滑速度和跑步的\ emph \ emph {枯草芽孢杆菌}细菌的游泳。我们确定了关键的相空间结构,称为游泳不变的歧管(游泳),它们是长期游泳者行为不同区域之间的分离。当投影到$ xy $ -space中时,游泳的边缘作为单向障碍,与实验一致。

We present theory and experiments demonstrating the existence of invariant manifolds that impede the motion of microswimmers in two-dimensional fluid flows. One-way barriers are apparent in a hyperbolic fluid flow that block the swimming of both smooth-swimming and run-and-tumble \emph{Bacillus subtilis} bacteria. We identify key phase-space structures, called swimming invariant manifolds (SwIMs), that serve as separatrices between different regions of long-time swimmer behavior. When projected into $xy$-space, the edges of the SwIMs act as one-way barriers, consistent with the experiments.

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