Study of Void Probability Scaling of Singly Charged Particles Produced in Ultrarelativistic Nuclear Collision in Fractal Scenario

Abstract

In this paper, we study the fractality of void probability distribution measured in ${}^{32}$S-Ag/Br interaction at an incident energy of $200$ GeV per nucleon. A radically different and rigorous method called \textit{Visibility Graph} analysis is used. This method is shown to reveal a strong scaling character of void probability distribution in all pseurorapidity regions. The scaling exponent, called the Power of the Scale-freeness in Visibility Graph(PSVG), a quantitative parameter related to Hurst exponent, is strongly found to be dependent on the rapidity window size.

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References in corpus (8)

• Multifractal detrended fluctuation analysis of nonstationary time series
• From time series to complex networks: the visibility graph
• Effect of nonstationarities on detrended fluctuation analysis
• Scaling laws for density correlations and fluctuations in multiparticle dynamics
• The Visibility Graph: a new method for estimating the Hurst exponent of fractional Brownian motion
• High multiplicity pp events and J/ψ production at LHC
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Cited by in corpus (2)

• Pion Fluctuation Study in Pb-Pb Collision at 2.76 TeV per nucleon pair from ALICE Experiment with Chaos and Complex Network-based Methods
• Azimuthal Anisotropy in High Energy Nuclear Collision - An Approach based on Complex Network Analysis