Tsallis non-extensive statistical mechanics of El Niño southern oscillation index

Marcel Ausloos and Filippo Petroni ()

Physica A: Statistical Mechanics and its Applications, 2007, vol. 373, issue C, 721-736

Abstract: The shape and tails of partial distribution functions (PDF) for a climatological signal, i.e., the El Niño SOI and the turbulent nature of the ocean–atmosphere variability are linked through a model encompassing Tsallis non-extensive statistics and leading to evolution equations of the Langevin and Fokker–Planck type. A model originally proposed to describe the intermittent behavior of turbulent flows describes the behavior of the normalized variability for such a climatological index, for small and large time windows, both for small and large variability. This normalized variability distributions can be sufficiently well fitted with a χ2-distribution. The transition between the small time scale model of non-extensive, intermittent process and the large-scale Gaussian extensive homogeneous fluctuation picture is found to occur at above ca. a 48 months time lag. The intermittency exponent (κ) in the framework of the Kolmogorov log-normal model is found to be related to the scaling exponent of the PDF moments. The value of κ(=0.25) is in agreement with the intermittency exponent recently obtained for other atmospheric data.

Keywords: Variability; Tsallis non-extensive statistical mechanics; Fokker–Planck equation; Detrended fluctuation analysis; Power spectrum; Climate dynamics; SOI (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:373:y:2007:i:c:p:721-736

DOI: 10.1016/j.physa.2006.05.044

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