Multifractal temperature and flux of temperature variance in fully developed turbulence

We analyse the multifractal properties of the temperature field θ and temperature variance flux χ in atmospheric turbulence, using simultaneous velocity V and temperature measurements in the atmosphere. This permits us first to characterize the multifractal scaling moment function of the flux of temperature variance estimated as χ ≈ (Δθ) 2 Δ V /ℓ. We then study the structure function scaling exponent of the temperature field directly, and compare it to the consequences of the assumption of the independence of the fluctuations of θ and V . Up until moment orders of at least order 6, the data analysis is consistent with independence.