标题： 条纹层流中的波动界面 显示英文标题

标题： Fluctuating interfaces in barotropic beta-plane turbulence

摘要： 带状急流在涡度配置中表现为具有清晰界面的条带。 我们开发了一个算法来跟踪这些波动的涡度界面，并系统地研究它们的特征时空行为。 虽然界面高度波动通常是亚高斯的，但相应的$\textit{fluctuation speeds}$显示出更宽、重尾的分布，反映了沿界面轮廓的纬向速度剖面引起的横向扩散的影响。 这些波动的时间演化通过其功率谱进一步表征，显示出频率域中的尺度不变性。 时间序列中$\textit{height}$场中存在的尖锐、密集、类似冲击的特征表明可能存在可微性的缺失。 我们通过计算界面高度波动的时间增量矩来确认这一点。 最后，通过多分形方法系统地研究了这些边界的分形性质，揭示了此类地球物理湍流中界面的非平凡、复杂的统计特性。 显示英文摘要

摘要： Zonal jets manifest themselves as bands with sharp interfaces in the vorticity configuration. We develop an algorithm to track these fluctuating vorticity interfaces and systematically investigate their characteristic spatio-temporal behavior. While the interfacial height fluctuations are typically sub-Gaussian, the corresponding $\textit{fluctuation speeds}$ exhibit wider, heavy-tailed distributions reflecting the influence of lateral dispersion induced by the zonal velocity profile along the interfacial contours. The temporal evolution of these fluctuations is further characterized through their power spectrum displaying scale invariance in the frequency domain. The sharp, dense, shock-like features present in the time series of the $\textit{height}$ field suggest a possible lacking of differentiability. We confirm this by calculating the moments of the time-increments of the interfacial height fluctuations. Finally, the fractal nature of these boundaries is investigated systematically through a multifractal approach, revealing the non-trivial, complex statistics of interfaces in such geophysical, turbulent flows.