发表机构
International Centre for Theoretical Sciences, Tata Institute of Fundamental Research; Department of Physics, Indian Institute of Technology (IIT), Hyderabad; Department of Mechanical Engineering, Indian Institute of Technology Kanpur（国际理论科学中心，塔塔基础研究所; 印度理工学院海德拉巴分校物理系; 印度理工学院坎普尔分校机械工程系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
通过构造类雷诺控制参数，以单一临界值统一预测活性湍流普适态沿活性、平流、非线性饱和及Swift–Hohenberg不稳定性等多条路径的发生。
AI 中文摘要
超过临界Toner–Tu驱动强度后，细菌湍流表现出普适统计特性，包括与参数无关的能谱$E(k)\sim k^{-3/2}$。我们证明，这种普适态不仅可以通过增强活性达到，还可以通过加强非线性平流、削弱非线性饱和或调节Swift–Hohenberg不稳定性来实现。受这些过程之间竞争的启发，我们识别出控制动力学的独立无量纲群，并据此构造了一个类雷诺控制参数。一个由已知活性控制转变校准的单一临界值，能够预测沿其他参数路径的普适性发生，并将这些路径折叠到同一阈值上。这些结果确定了普适活性湍流发生的动力学组织参数，并为Toner–Tu–Swift–Hohenberg普适类提供了类雷诺度量。
英文摘要
Beyond a critical Toner--Tu drive, bacterial turbulence exhibits universal statistics, including a parameter-independent energy spectrum $E(k)\sim k^{-3/2}$. We show that the same universal state can be reached not only by increasing activity, but also by strengthening nonlinear advection, weakening nonlinear saturation, or tuning the Swift--Hohenberg instability. Motivated by the competition between these processes, we identify the independent dimensionless groups governing the dynamics and construct a Reynolds-like control parameter from them. A single critical value, calibrated from the known activity-controlled transition, predicts the onset of universality along the other parameter routes and collapses them onto a common threshold. These results identify a dynamical organizing parameter for the onset of universal active turbulence and provide a Reynolds-like measure for the Toner--Tu--Swift--Hohenberg universality class.
Comments6 pages, 3 figures
