Dynamical modelling of superstatistical complex systems

Details Dynamical modelling of superstatistical complex systems Dynamical modelling of superstatistical complex systems

2009-11-25

arxiv.org/abs/0911.4816v4

Physica A, 390, 951 (2011)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 4 figures

Scientific paper

We show how to construct the optimum superstatistical dynamical model for a given experimentally measured time series. For this purpose we generalise the superstatistics concept and study a Langevin equation with a memory kernel whose parameters fluctuate on a large time scale. It is shown how to construct a synthetic dynamical model with the same invariant density and correlation function as the experimental data. As a main example we apply our method to velocity time series measured in high-Reynolds number turbulent Taylor-Couette flow, but the method can be applied to many other complex systems in a similar way.

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