Correlations in superstatistical systems

Details Correlations in superstatistical systems Correlations in superstatistical systems

2007-09-25

arxiv.org/abs/0709.3938v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures. To appear in the proceedings of CTNEXT07 'Complexity, Metastability and Nonextensivity', Catania 1-5 July

Scientific paper

10.1063/1.2828760

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.

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