发表机构
Department of Physics and Soft Matter Center, Ochanomizu University; Ochanomizu University（大正大学物理与软物质中心; 大正大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文实验发现流体界面破裂后存在四个连续自相似标度区（β=1/6,1/2,1,2）及三个交叉，表明自相似动力学可经历多重交叉而非单一渐近状态。
AI 中文摘要
自相似动力学通常以单一渐近标度区来描述。本文在比以往可及范围更宽的时间和空间尺度上，实验研究了流体动力学界面破裂后的恢复过程。除先前已识别的标度行为外，我们发现了四个连续的自相似区，其特征为$R_{\beta}$标度，其中$\beta=1/6$、1/2、1和2，并由三个不同的交叉连接。所有四个区域在界面尖端附近均表现出稳健的塌缩，而在远离奇异区域处，几何依赖性变得可检测。这种跨空间和标度区的系统性变化与尺度分离以及更接近破裂奇点时增强的普适性一致。与不同$R_{\beta}$标度相关的特征尺度在共同几何尺度$z_m \simeq R$处变得可比。这些发现表明，自相似动力学可以在不同标度区之间经历多次连续交叉，而非直接趋近于单一渐近自相似状态。
英文摘要
Self-similar dynamics are often described in terms of a single asymptotic scaling regime. Here we experimentally investigate the post-breakup recovery of a hydrodynamic interface over substantially wider temporal and spatial ranges than previously accessible. Beyond the previously identified scaling behavior, we find four successive self-similar regimes characterized by the $R_β$-scaling with $β=1/6$, 1/2, 1, and 2, connected by three distinct crossovers. All four regimes exhibit robust collapse near the interface tip, while geometrical dependence becomes detectable farther from the singular region. This systematic variation across space and scaling regimes is consistent with scale separation and enhanced universality closer to the breakup singularity. The characteristic scales associated with the different $R_β$-scalings become comparable at the common geometric scale $z_m \simeq R$. These findings demonstrate that self-similar dynamics can undergo multiple successive crossovers among distinct scaling regimes rather than directly approaching a single asymptotic self-similar state.
Comments12 pages, 7 figures
