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arXiv 1810.04500physics.bio-phcond-mat.soft
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受限定常和谐波调制Poiesille流中的囊泡动力学

Vesicle dynamics in confined steady and harmonically modulated Poiseuille flows

Zakaria Boujja, Chaouqi Misbah, Hamid Ez-Zahraouy, Abdelilah Benyoussef, Thomas John, Christian Wagner, Martin Michael Müller

摘要:

我们提出了一个数值研究的时间依赖性运动的二维囊泡在一个通道下施加流。如过去所报道的,在Poiffille流中,囊泡的形状取决于流动强度、膜的机械性质和通道的宽度。这项研究的重点是中心蛇形(CSn)的形状,其中的囊泡显示振荡运动像一个游泳的鞭毛,即使流动是静止的。我们量化这种行为的振幅和频率的振荡囊泡的质心。我们观察参数空间中的区域,在那里的CSn与降落伞或无约束拖鞋共存。施加的流动的振幅调制的动态和形状的蛇形囊泡的影响也进行了研究。对于大的调制幅度过渡到静态形状进行观察。较小的调制幅度诱导蛇形囊泡的质心的幅度和频率的调制。在一定的参数范围内,我们发现,质心振荡与一个恒定的包络线,表明存在至少两个稳定的状态。

英文摘要:

We present a numerical study of the time-dependent motion of a two-dimensional vesicle in a channel under an imposed flow. In a Poiseuille flow the shape of the vesicle depends on the flow strength, the mechanical properties of the membrane, and the width of the channel as reported in the past. This study is focused on the centered snaking (CSn) shape, where the vesicle shows an oscillatory motion like a swimmer flagella even though the flow is stationary. We quantify this behavior by the amplitude and frequency of the oscillations of the vesicle's center of mass. We observe regions in parameter space, where the CSn coexists with the parachute or the unconfined slipper. The influence of an amplitude modulation of the imposed flow on the dynamics and shape of the snaking vesicle is also investigated. For large modulation amplitudes transitions to static shapes are observed. A smaller modulation amplitude induces a modulation in amplitude and frequency of the center of mass of the snaking vesicle. In a certain parameter range we find that the center of mass oscillates with a constant envelope indicating the presence of at least two stable states.

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