Superstatistics in hydrodynamic turbulence
Fluid Dynamics
2009-11-10 v1 Statistical Mechanics
Abstract
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).
Cite
@article{arxiv.physics/0303061,
title = {Superstatistics in hydrodynamic turbulence},
author = {Christian Beck},
journal= {arXiv preprint arXiv:physics/0303061},
year = {2009}
}
Comments
14 pages, 8 figures. Contribution to the proceedings of the Santa-Fe workshop on anomalous distributions (November 2002), to be published in Physica D