Superstatistics in hydrodynamic turbulence. (English) Zbl 1062.82026
Summary: 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 \(\chi^2\)-superstatistics (= Tsallis statistics).
MSC:
| 82C03 | Foundations of time-dependent statistical mechanics |
| 76F55 | Statistical turbulence modeling |
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