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arXiv 1705.03486physics.flu-dynmath.DS
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非线性参数激励效应诱导柔性超顺磁性微泳者游动方向的稳定性转变

Nonlinear parametric excitation effect induces stability transitions in swimming direction of flexible superparamagnetic microswimmers

Yuval Harduf, Dongdong Jin, Yizhar Or, Li Zhang

摘要:

显微人工游泳者最近变得非常有吸引力,由于其有前途的生物医学应用的潜力。Dreyfus等人(2005)的开创性工作已经证明了具有超顺磁珠的波状链的微游泳器的运动,其由振荡的外部磁场驱动。有趣的是,理论上还预测,当磁场的振荡幅度增加到$\sqrt{2}$的临界值以上时,该游泳者的游泳方向将经历$90^\circ$转变。在这项工作中,我们进一步研究这种转变的理论和实验,通过使用数值模拟,并提出了一种新的灵活的超顺磁头微游泳。我们实现了游泳方向上的$90^\circ$ -跃迁,证明了这种效应依赖于振荡磁场的频率和振幅,并证明了存在一个最佳振幅,在此振幅下,可以获得最大游泳速度.通过对微型游泳器的最小两杆模型的动力学分析,揭示了非线性参数激励的作用引起了代表游泳方向变化的稳定性转变.

英文摘要:

Microscopic artificial swimmers have recently become highly attractive due to their promising potential for biomedical applications. The pioneering work of Dreyfus et al (2005) has demonstrated the motion of a microswimmer with an undulating chain of superparamagnetic beads, which is actuated by an oscillating external magnetic field. Interestingly, it has also been theoretically predicted that the swimming direction of this swimmer will undergo a $90^\circ$-transition when the magnetic field's oscillations amplitude is increased above a critical value of $\sqrt{2}$. In this work, we further investigate this transition both theoretically and experimentally by using numerical simulations and presenting a novel flexible microswimmer with a superparamagnetic head. We realize the $90^\circ$-transition in swimming direction, prove that this effect depends on both frequency and amplitude of the oscillating magnetic field, and demonstrate the existence of an optimal amplitude, under which, maximal swimming speed can be achieved. By asymptotically analyzing the dynamic motion of microswimmer with a minimal two-link model, we reveal that the stability transitions representing the changes in the swimming direction are induced by the effect of nonlinear parametric excitation.

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