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arXiv 2004.06938cond-mat.softcond-mat.stat-mechphysics.bio-phphysics.flu-dyn
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对称混合的推和拉微型游泳者表现为非相互作用的悬浮体

Symmetric mixtures of pusher and puller microswimmers behave as noninteracting suspensions

Dóra Bárdfalvy, Shan Anjum, Cesare Nardini, Alexander Morozov, Joakim Stenhammar

摘要:

悬浮液的后方和前方驱动的微型游泳者沉浸在一种流体中,分别被称为"推动者“和"拉动者”,显示定性不同的集体行为:超过一个特征密度,推动者悬浮液表现出流体动力学不稳定性,导致集体运动称为主动湍流,这是一种不存在的现象,为拉动者。在这封信中,我们描述了集体动力学的二元推-拉混合动力学理论和大规模粒子分辨模拟。我们推导并验证了一个不稳定性判据,表明活跃湍流的临界密度随着牵引子的分数$χ$的增加而向更高的值移动,对于$χ\geq 0.5$则消失。然后,我们分析和数值计算表明,两点的1:1的混合物的流体动力学相关性等于那些非相互作用的游泳者的悬浮液。引人注目的是,我们的数值分析还表明,流体速度波动的全概率分布崩溃到一个非相互作用的系统,在相同的密度,游泳者-游泳者的相关性是严格缺席。因此,我们的研究结果表明,在1:1的推-拉混合物的流体速度波动是完全等于相应的无相互作用的悬浮液在任何密度,一个令人惊讶的取消没有对应的平衡长程相互作用系统。

英文摘要:

Suspensions of rear- and front-actuated microswimmers immersed in a fluid, known respectively as ``pushers'' and ``pullers'', display qualitatively different collective behaviours: beyond a characteristic density, pusher suspensions exhibit a hydrodynamic instability leading to collective motion known as active turbulence, a phenomenon which is absent for pullers. In this Letter, we describe the collective dynamics of a binary pusher--puller mixture using kinetic theory and large-scale particle-resolved simulations. We derive and verify an instability criterion, showing that the critical density for active turbulence moves to higher values as the fraction $χ$ of pullers is increased and disappears for $χ\geq 0.5$. We then show analytically and numerically that the two-point hydrodynamic correlations of the 1:1 mixture are equal to those of a suspension of noninteracting swimmers. Strikingly, our numerical analysis furthermore shows that the full probability distribution of the fluid velocity fluctuations collapses onto the one of a noninteracting system at the same density, where swimmer--swimmer correlations are strictly absent. Our results thus indicate that the fluid velocity fluctuations in 1:1 pusher--puller mixtures are exactly equal to those of the corresponding noninteracting suspension at any density, a surprising cancellation with no counterpart in equilibrium long-range interacting systems.

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