Chacón Ricardo
Departamento de Física Aplicada, Escuela de Ingenierías Industriales, Universidad de Extremadura, Apartado Postal 382, E-06006 Badajoz, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Nov;88(5):052905. doi: 10.1103/PhysRevE.88.052905. Epub 2013 Nov 8.
The chaotic dynamics of pointlike, spherical particles in cylindrical Poiseuille flow is theoretically characterized and numerically confirmed when their own intrinsic swimming velocity undergoes temporal fluctuations around an average value. Two dimensionless ratios associated with the three significant temporal scales of the problem are identified that fully determine the chaos scenario. In particular, small but finite periodic fluctuations of swimming speed result in chaotic or regular motion depending on the position and orientation of the microswimmer with respect to the flow center line. Remarkably, the spatial extension of chaotic microswimmers is found to depend crucially on the fluctuations' period and amplitude and to be highly sensitive to the Fourier spectrum of the fluctuations. This has implications for the design of artificial microswimmers.
当点状球形粒子在圆柱泊肃叶流中自身的本征游动速度围绕平均值发生时间波动时，从理论上对其混沌动力学进行了表征，并通过数值计算得到了证实。确定了与该问题的三个重要时间尺度相关的两个无量纲比率，它们完全决定了混沌情形。特别地，游动速度的微小但有限的周期性波动会导致混沌或规则运动，这取决于微游动器相对于流动中心线的位置和方向。值得注意的是，发现混沌微游动器的空间扩展关键取决于波动的周期和幅度，并且对波动的傅里叶频谱高度敏感。这对人工微游动器的设计具有启示意义。
