Path lengths in turbulence

Details Path lengths in turbulence Path lengths in turbulence

2011-08-13

arxiv.org/abs/1108.2824v1

Physics

Data Analysis, Statistics and Probability

accepted for publication in Journal of Statistical Physics

Scientific paper

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.

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