Superstatistics in hydrodynamic turbulence

Superstatistics is a ‘statistics of a statistics’ relevant for driven nonequilibrium systems with fluctuating intensive parameters. It contains Tsallis statistics as a special case. We show that probability density functions of velocity differences and accelerations measured in Eulerian and Lagrangian turbulence experiments are well reproduced by simple superstatistics models. We compare fits obtained for log-normal superstatistics and χ2-superstatistics (= Tsallis statistics).