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arXiv 1802.01940cond-mat.soft
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支撑液膜中的三盘微型游泳器

Three-disk microswimmer in a supported fluid membrane

Yui Ota, Yuto Hosaka, Kento Yasuda, Shigeyuki Komura

摘要:

提出了一种三圆盘微机械在准二维支撑膜中游动的模型。我们计算的平均游泳速度作为磁盘大小和臂长的函数。由于准二维流体中存在流体力学屏蔽长度,出现在平均速度中的几何因子根据微泳者的尺寸和流体力学屏蔽长度表现出三种不同的渐近行为。这与三维体相流体中的微泳者形成鲜明对比,该微泳者仅显示单一的缩放行为。我们还发现,最大的速度时,获得的磁盘是相同的大小,而它是最小化时,平均臂长是相同的。圆盘在基底上的固有阻力不改变几何因子的标度行为。

英文摘要:

A model of three-disk micromachine swimming in a quasi two-dimensional supported membrane is proposed. We calculate the average swimming velocity as a function of the disk size and the arm length. Due to the presence of the hydrodynamic screening length in the quasi two-dimensional fluid, the geometric factor appearing in the average velocity exhibits three different asymptotic behaviors depending on the microswimmer size and the hydrodynamic screening length. This is in sharp contrast with a microswimmer in a three-dimensional bulk fluid that shows only a single scaling behavior. We also find that the maximum velocity is obtained when the disks are equal-sized, whereas it is minimized when the average arm lengths are identical. The intrinsic drag of the disks on the substrate does not alter the scaling behaviors of the geometric factor.

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