%0 Book Section %1 statphys23_0188 %A Schmiegel, J.R. %A Barndorff-nielsen, O.E. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K distribution equivalence extended gaussian generalized inverse normal self-similarity statphys23 stochastic topic-5 turbulence %T Time change and Universality in Turbulence %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=188 %X We discuss a unifying description of the probability densities of turbulent velocity increments for a large number of turbulent data sets that include data from low temperature gaseous helium jet experiments, a wind tunnel experiment, an atmospheric boundary layer experiment and a free air jet experiment. Taylor Reynolds numbers range from $R_łambda=80$ for the wind tunnel experiment up to $R_łambda=17000$ for the atmospheric boundary layer experiment. Empirical findings strongly support the appropriateness of normal inverse Gaussian distributions for a parsimonious and universal description of the probability densities of turbulent velocity increments. Furthermore, the application of a time change in terms of the scale parameter $\delta$ of the normal inverse Gaussian distribution results in a collapse of the densities of velocity increments onto Reynolds number independent distributions. We discuss this kind of universality in terms of a stochastic equivalence class that reformulates and extends the concept of Generalized Extended Self-Similarity.

@incollection{statphys23_0188, abstract = {We discuss a unifying description of the probability densities of turbulent velocity increments for a large number of turbulent data sets that include data from low temperature gaseous helium jet experiments, a wind tunnel experiment, an atmospheric boundary layer experiment and a free air jet experiment. Taylor Reynolds numbers range from $R_{\lambda}=80$ for the wind tunnel experiment up to $R_{\lambda}=17000$ for the atmospheric boundary layer experiment. Empirical findings strongly support the appropriateness of normal inverse Gaussian distributions for a parsimonious and universal description of the probability densities of turbulent velocity increments. Furthermore, the application of a time change in terms of the scale parameter $\delta$ of the normal inverse Gaussian distribution results in a collapse of the densities of velocity increments onto Reynolds number independent distributions. We discuss this kind of universality in terms of a stochastic equivalence class that reformulates and extends the concept of Generalized Extended Self-Similarity.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Schmiegel, J.R. and Barndorff-nielsen, O.E.}, biburl = {https://www.bibsonomy.org/bibtex/20c43af18ed4c6251e6e28b5d9ba6327e/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {bf2ee333b7ea9206e8567b1647eb78db}, intrahash = {0c43af18ed4c6251e6e28b5d9ba6327e}, keywords = {distribution equivalence extended gaussian generalized inverse normal self-similarity statphys23 stochastic topic-5 turbulence}, month = {9-13 July}, timestamp = {2007-06-20T10:16:13.000+0200}, title = {Time change and Universality in Turbulence}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=188}, year = 2007 }