Active matter, composed of self-propelled entities, forms a wide class of out-of-equilibrium systems that display striking collective behaviors, among which, the so-called active turbulence where spatially and time-disordered flow patterns spontaneously arise in a variety of active systems. De facto, the active turbulence naming suggests a connection with a second seminal class of out-of-equilibrium systems, inertial turbulence, even though the latter is of very different nature with energy injected at global system scale rather than at the elementary scale of single constituents. Indeed, the existence of a possible strong tie between active and canonical turbulence remains an open question and a field of profuse research. Using an assembly of self-propelled interfacial particles, we show experimentally that the statistical properties of particles’ velocities display a turbulentlike behavior, as described by the celebrated 1941 phenomenology of Kolmogorov. Moreover, the analogy between the dynamics of the self-propelled particles and inertial turbulence is observed to hold consistently both in the Eulerian and Lagrangian frameworks. Unlike the swimmers’ velocities distribution, the subsurface fluid flow is found not turbulent, thus making Marangoni surfers’ assemblies different from other active systems generating turbulence, such as living matter. Identifying an active system in the universality class of inertial turbulence not only benefits its future development but may also provide new insights into the long-standing description of turbulent flows, arguably one of the biggest remaining mysteries in classical physics.

中文翻译：

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相互作用的Marangoni冲浪者的稀疏组件的Kolmogorovian主动湍流

由自我推动的实体组成的活动物质形成了广泛的失衡系统，这些系统表现出惊人的集体行为，其中，所谓的主动湍流是指在各种情况下自发产生空间和时间无序流动模式的活动活动系统。事实上的，主动湍流的命名建议与第二类不平衡系统的开创性，即惯性湍流，即使后者的性质完全不同，其能量是在全局系统规模而非单一成分的基本规模上注入的。确实，在主动和规范湍流之间可能存在牢固的联系仍然是一个悬而未决的问题，也是一个广泛研究的领域。通过使用自推进界面粒子的集合，我们实验地证明了粒子速度的统计特性显示出湍流状的行为，如著名的1941年Kolmogorov现象学所描述的。此外，观察到自推进粒子动力学与惯性湍流之间的类比在欧拉和拉格朗日框架中均保持一致。与游泳者的速度分布不同，发现地下流体的流动不是湍流的，因此使Marangoni冲浪者的组件不同于其他产生湍流的活动系统，例如生物。在惯性湍流的通用性类别中识别出一个主动系统，不仅有利于其未来的发展，而且还可以为湍流的长期描述提供新的见解，而湍流可以说是古典物理学中最大的未解之谜之一。