arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2209.04864cond-mat.softphysics.bio-phphysics.flu-dyn
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活性诱导液滴推进和多重分形

Activity-induced droplet propulsion and multifractality

Nadia Bihari Padhan, Rahul Pandit

摘要:

我们开发了一个最小的流体动力学模型,没有取向的序参量,封装在一个液滴的二元流体乳液的收缩游泳者的组件。我们的模型使用两个耦合标量序参量,$ϕ$和$ψ$,分别捕获液滴界面和该液滴内的收缩游泳者的活动。这些序参量也耦合到速度场$\bm u$。在低活性,我们的模型产生了一个自我推进的液滴的质心$(CM)$显示直线运动,供电的时空演变的字段$ψ$,这导致一个依赖于时间的涡偶极子在液滴的一端。当我们增加的活动,这$CM$表现出混乱的超扩散运动,其特征在于其均方位移和液滴界面表现出多重分形波动,其频谱的指数,我们计算。我们探讨我们的研究结果的影响,收缩性游泳者的主动液滴的实验。

英文摘要:

We develop a minimal hydrodynamic model, without an orientational order parameter, for assemblies of contractile swimmers encapsulated in a droplet of a binary-fluid emulsion. Our model uses two coupled scalar order parameters, $ϕ$ and $ψ$, which capture, respectively, the droplet interface and the activity of the contractile swimmers inside this droplet. These order parameters are also coupled to the velocity field $\bm u$. At low activity, our model yields a self-propelling droplet whose center of mass $(CM)$ displays rectilinear motion, powered by the spatiotemporal evolution of the field $ψ$, which leads to a time-dependent vortex dipole at one end of the droplet. As we increase the activity, this $CM$ shows chaotic super-diffusive motion, which we characterize by its mean-square displacement; and the droplet interface exhibits multifractal fluctuations, whose spectrum of exponents we calculate. We explore the implications of our results for experiments on active droplets of contractile swimmers.

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