Shear flow of active matter in thin channels,Physical Review E

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Shear flow of active matter in thin channels
Physical Review E ( IF 2.2 ) Pub Date : 2021-09-17 , DOI: 10.1103/physreve.104.034607
M Carme Calderer ₁ , Dmitry Golovaty ₂ , Lingxing Yao ₂ , Longhua Zhao ₃

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We study the shear flow of active filaments confined in a thin channel for extensile and contractile fibers. We apply the Ericksen-Leslie equations of liquid crystal flow with an activity source term. The dimensionless form of this system includes the Ericksen, activity, and Reynolds numbers, together with the aspect ratio of the channel, as the main driving parameters. We perform a normal mode stability analysis of the base shear flow. For both types of fibers, we arrive at a comprehensive description of the stability properties and their dependence on the parameters of the system. The transition to unstable frequencies in extensile fibers occurs at a positive threshold value of the activity parameter, whereas for contractile ones a complex behavior is found at low absolute value of the activity number. The latter might be an indication of the biologically relevant plasticity and phase transition issues. In contrast with extensile fibers, flows of contractile ones are also found to be highly sensitive to the Reynolds number. The work on extensile fibers is guided by experiments on active filaments in confined channels and aims at quantifying their findings in the prechaotic regime.

中文翻译：

细通道中活性物质的剪切流

我们研究了限制在可伸展和可收缩纤维的细通道中的活性细丝的剪切流。我们将液晶流的 Ericksen-Leslie 方程与活动源项一起应用。该系统的无量纲形式包括 Ericksen、活动度和雷诺数，以及通道的纵横比，作为主要驱动参数。我们对基础剪切流进行了正常模式稳定性分析。对于这两种类型的纤维，我们对稳定性特性及其对系统参数的依赖性进行了全面的描述。可伸展纤维向不稳定频率的转变发生在活动参数的正阈值处，而对于收缩纤维，在活动数的绝对值较低时发现复杂行为。后者可能表明生物相关的可塑性和相变问题。与可拉伸纤维相比，还发现可收缩纤维的流动对雷诺数高度敏感。可伸展纤维的工作由对受限通道中活性细丝的实验指导，旨在量化它们在前混沌状态下的发现。

更新日期：2021-09-17

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