  We characterize statistical properties of the flow field in developed
turbulence using concepts from stochastic thermodynamics. On the basis of data
from a free air-jet experiment, we demonstrate how the dynamic fluctuations
induced by small-scale intermittency generate analogs of entropy-consuming
trajectories with sufficient weight to make fluctuation theorems observable at
the macroscopic scale. We propose an integral fluctuation theorem for the
entropy production associated with the stochastic evolution of velocity
increments along the eddy-hierarchy and demonstrate its extreme sensitivity to
the accurate description of the tails of the velocity distributions.
