arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.03389physics.flu-dynnlin.CDphysics.bio-ph
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流体流动中自推进颗粒的输运障碍

Transport barriers to self-propelled particles in fluid flows

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

摘要:

我们目前的理论和实验证明存在不变的流形,阻碍运动的microswimmer在二维流体流动。单向屏障在双曲线流体流动中是明显的,其阻止了平滑游泳和奔跑翻滚\emph{Bacillus subtilis}细菌的游泳。我们确定关键的相空间结构,称为游泳不变流形(SwIMs),作为长期游泳行为的不同区域之间的分隔线。当投影到$xy$ -空间中时,SwIM的边缘充当单向屏障,与实验一致。

英文摘要:

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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