标题： 湍流中的路径长度 显示英文标题

标题： Path lengths in turbulence

摘要： 通过在高速和长时间跟踪示踪粒子，我们研究了强烈湍流实验室流中拉格朗日轨迹的几何统计特性。 特别是，我们考虑了粒子从初始位置的位移与其所行总距离之间的区别。 这两个量的差异在惯性范围内表现出幂律标度。 通过与混沌但非湍流流动的模拟以及拉格朗日随机模型进行比较，我们认为我们的结果是湍流的特征。 显示英文摘要

摘要： By tracking tracer particles at high speeds and for long times, we study the geometric statistics of Lagrangian trajectories in an intensely turbulent laboratory flow. In particular, we consider the distinction between the displacement of particles from their initial positions and the total distance they travel. The difference of these two quantities shows power-law scaling in the inertial range. By comparing them with simulations of a chaotic but non-turbulent flow and a Lagrangian Stochastic model, we suggest that our results are a signature of turbulence.