论文标题
对称性的跨界从无缺陷到极性活性物质中充满缺陷的湍流
Symmetry-restoring crossover from defect-free to defect-laden turbulence in polar active matter
论文作者
论文摘要
自propelled颗粒的相干流的特征是涡流和喷气机，这些涡流和喷气机具有混乱的流动，称为主动湍流。在这里，我们揭示了无缺陷的主动湍流与充满拓扑缺陷的主动湍流之间的交叉。有趣的是，我们表明，从无缺陷到具有缺陷的主动湍流的交叉同时发生是恢复先前损坏的$ \ so（2）$ - 对称性，这是由两点相关的快速衰变信号的。通过对拓扑电荷密度场的稳定性分析，我们提供了有关跨界标准到具有缺陷的活性湍流状态的理论见解。尽管这两个主动的湍流状态之间具有明显的对称特征，但流动波动在大尺度上表现出通用的统计缩放行为，而极性波动的光谱在小长度尺度上与活动能量注射长度相比呈指数衰减。这些发现揭示了极性活动的不同时空组织模式之间的新动态交叉。
Coherent flows of self-propelled particles are characterized by vortices and jets that sustain chaotic flows, referred to as active turbulence. Here, we reveal a crossover between defect-free active turbulence and active turbulence laden with topological defects. Interestingly, we show that concurrent to the crossover from defect-free to defect-laden active turbulence is the restoration of the previously broken $\SO(2)$-symmetry signaled by the fast decay of the two-point correlations. By stability analyses of the topological charge density field, we provide theoretical insights on the criterion for the crossover to the defect-laden active turbulent state. Despite the distinct symmetry features between these two active turbulence regimes, the flow fluctuations exhibit universal statistical scaling behaviors at large scales, while the spectrum of polarity fluctuations decays exponentially at small length scales compared to the active energy injection length. These findings reveal a new dynamical crossover between distinct spatiotemporal organization patterns in polar active mater.
