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Dynamical modelling of superstatistical complex systems

Erik Van der Straeten and Christian Beck

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 5, 951-956

Abstract: 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. We show 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.

Keywords: Complex systems (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:5:p:951-956

DOI: 10.1016/j.physa.2010.10.047

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