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arXiv 2103.06334cond-mat.soft
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约束对活动流体动力学和关联尺度的影响

Effects of confinement on the dynamics and correlation scales in active fluids

Yi Fan, Kun-Ta Wu, Ali Aghvami, Seth Fraden, Kenneth Breuer

摘要:

我们研究了固体边界对活性流体的动力学和结构的影响,作为容器的高度,$z$,变化。随着尺寸的变化,几何形状系统地增加,因此,约束($z$)从"强约束"过渡到"中等约束"和"弱约束"(接近"无约束")。在水平维度($x,y$)中,系统保持"无约束"。通过跟踪示踪剂分散在活性流体中的三维,我们观察到的活动水平,其特征在于流动示踪剂的速度波动,随着系统尺寸的增加而增加。与此同时,流速-流速时间相关性从弱相关性变为强正相关性,表明活动流具有“记忆性”。我们通过对速度-速度空间关联函数进行积分来估计流动结构的特征尺寸。积分随着约束变弱而增加,并且随着系统变得"无约束"而在大约400微米处饱和。这种饱和度表明了内在的长度尺度,以及小尺度的各向同性,证明了这种驱动蛋白驱动的成束微管系统的多尺度性质。

英文摘要:

We study the influence of solid boundaries on dynamics and structure of active fluids as the height of the container, $z$, changes. Along the varying dimension, the geometry systematically increases, therefore, the confinement ($z$) transits from "strong confinement", to "intermediate confinement" and to "weak confinement" (close to "unconfined"). In horizontal dimensions ($x,y$), the system remains "unconfined". Through tracking the tracers dispersed in the active fluids in three dimensions we observed that activity level, characterized by velocity fluctuations of flow tracers, increases as system size increases. Concomitantly, the velocity-velocity temporal correlation changes from weak correlation to strong positive correlation, indicating "memory" in active flows. We estimate the characteristic size of the flow structure by integrating the velocity-velocity spatial correlation function. The integral increases as confinement becomes weaker and saturates at approximately 400 microns as the system becomes "unconfined". This saturation indicates an intrinsic length scale which, along with the small-scale isotropy, demonstrates the multi-scale nature of this kinesin-driven bundled microtubule system.

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