Superstatistics in hydrodynamic turbulence

Details Superstatistics in hydrodynamic turbulence Superstatistics in hydrodynamic turbulence

2003-03-15

arxiv.org/abs/physics/0303061v1

Physics

Fluid Dynamics

14 pages, 8 figures. Contribution to the proceedings of the Santa-Fe workshop on anomalous distributions (November 2002), to b

Scientific paper

10.1016/j.physd.2004.01.020

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 the 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 chi-squared superstatistics (= Tsallis statistics).

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