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推动型和拉动型蠕动杆的涌现集体动力学:群聚、聚集和湍流。

Emergent collective dynamics of pusher and puller squirmer rods: swarming, clustering, and turbulence.

作者信息

Zantop Arne W, Stark Holger

机构信息

Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.

出版信息

Soft Matter. 2022 Aug 24;18(33):6179-6191. doi: 10.1039/d2sm00449f.

Abstract

We study the interplay of steric and hydrodynamic interactions in suspensions of elongated microswimmers by simulating the full hydrodynamics of squirmer rods in the quasi two-dimensional geometry of a Hele-Shaw cell. To create pusher or puller-type squirmer rods, we concentrate the surface slip-velocity field more to the back or to the front of the rod and thereby are able to tune the rod's force-dipole strength. We study a wide range of aspect ratios and area fractions and provide corresponding state diagrams. The flow field of pusher-type squirmer rods destabilizes ordered structures and favors the disordered state at small area fractions and aspect ratios. Only when steric interactions become relevant, we observe a turbulent and dynamic cluster state, while for large aspect ratios a single swarm and jammed cluster occurs. The power spectrum of the turbulent state shows two distinct energy cascades at small and large wave numbers with power-law scaling and non-universal exponents. Pullers show a strong tendency to form swarms instead of the disordered state found for neutral and pusher rods. At large area fractions a dynamic cluster is observed and at larger aspect ratio a single swarm or jammed cluster occurs.

摘要

我们通过在Hele-Shaw细胞的准二维几何结构中模拟蠕动体杆的全流体动力学,研究了细长型微游动体悬浮液中空间位阻和流体动力学相互作用的相互影响。为了创建推动型或拉动型蠕动体杆,我们将表面滑移速度场更多地集中在杆的后部或前部,从而能够调节杆的力偶极强度。我们研究了广泛的纵横比和面积分数,并提供了相应的状态图。推动型蠕动体杆的流场会破坏有序结构,在小面积分数和纵横比情况下有利于无序状态。只有当空间位阻相互作用变得显著时,我们才观察到湍流和动态簇状态,而对于大纵横比,则会出现单个群体和堵塞簇。湍流状态的功率谱在小波数和大波数处显示出两个不同的能量级联,具有幂律标度和非通用指数。拉动型表现出强烈的形成群体的趋势,而不是中性和推动型杆所呈现的无序状态。在大面积分数下观察到动态簇,在更大的纵横比下会出现单个群体或堵塞簇。

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