Correlations in superstatistical systems
arXiv:0709.3938 · doi:10.1063/1.2828760
Abstract
We review some of the properties of higher-dimensional superstatistical stochastic models. As an example, we analyse the stochastic properties of a superstatistical model of 3-dimensional Lagrangian turbulence, and compare with experimental data. Excellent agreement is obtained for various measured quantities, such as acceleration probability densities, Lagrangian scaling exponents, correlations between acceleration components, and time decay of correlations. We comment on how to proceed from superstatistics to a thermodynamic description.
8 pages, 4 figures. To appear in the proceedings of CTNEXT07 'Complexity, Metastability and Nonextensivity', Catania 1-5 July 2007, eds. S. Abe, H.J. Herrmann, P. Quarati, A. Rapisarda, C. Tsallis, AIP 2007