Levy Stability Index from Multifractal Spectrum

Details Levy Stability Index from Multifractal Spectrum Levy Stability Index from Multifractal Spectrum

1998-12-10

arxiv.org/abs/hep-ph/9812310v1

Chin.Phys.Lett. 16 (1999) 553-554

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages 4 PS figures Record-No: HZPP-9809

Scientific paper

A method for extracting the Levy stability index $\mu$ from the multi-fractal spectrum $f(\alpha)$ in high energy multiparticle production is proposed. This index is an important parameter, characterizing the non-linear behaviour of dynamical fluctuations in high energy collisions. Using the random cascading $\alpha$ model as example, the validity of this method is tested. It is shown that this method, basing on a linear fit, is consistent with and more accurate than the usual method of fitting the ratio of $q$th to 2nd order multi-fractal (R\'enyi) dimensions to the Peschanski formula.

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