Pion Fluctuation in High-energy Collisions --- A Chaos-based Quantitative Estimation with Visibility Graph Technique

Abstract

We propose a new approach for studying pion fluctuation for deeper understanding of the dynamical process involved, from a perspective of fBm-based complex network analysis method called Visibility graph Analysis. This chaos-based, rigorous, non-linear technique is applied to study the erratic behavior of multipion production in π − -Ag/Br interactions at 350 GeV. This method can offer reliable results with finite data points. The Power of Scale-freeness of Visibility Graph denoted by-PSVG is a measure of fractality, which can be used as a quantitative parameter for the assessment of the state of a chaotic system. The event-wise fluctuation of the multipion production process can be described by this parameter-PSVG. From the analysis of the PSVG parameter, we can quantitatively confirm that fractal behavior of the particle production process depends on the target excitation and also the fractality decreases with the increase of target excitation.

Searching for Supersymmetry at LHC Using the Complex-Network-Based Method of the Three-Dimensional Visibility-Graph

“…This method has also been implemented widely over time series with a finite number of data points and even with 400 data points [73], and has accomplished reliable result in different areas of science. Studies had been conducted in the area of the multiplicity fluctuation process in nucleus-nucleus and hadron-nucleus interactions, applying this Visibility Graph methodology in a few recent works [74][75][76][77][78][79][80][81][82][83]. Pb-Pb VSD masterclass data at 2.76 TeV per nucleon pair from ALICE Collaboration [84] was used for scaling analysis of the pseudorapidity space, using both the method of complex-network-based Visibility Graph and MF-DFA [48,49], to study the prospective phase transition and the signature of quark-gluon plasma (QGP) in the work [82].…”

Symmetry-Scaling Based Complex Network Approach to Explore Exotic Hadronic States in High-Energy Collision

“…This method has been used productively for analyzing various biological signals in recent works [21,22,23,24,25]. In view of the above, recently, using Visibility Graph method, we have analysed multiplicity fluctuation in hadron-nucleus and nucleus-nucleus interactions [26,27,28,22,29,30,31,32]. In our latest work [33,34], we have done the scaling analysis of the pseudorapidity data extracted from Pb-Pb VSD masterclass data sample at 2.76T eV per nucleon pair from ALICE Collaboration [35] using the method of Visibility Graph from the perspective of complex network and the multifractal methodologies, to probe for phase transition and capture the signature of QGP.…”

Study of Di-Muon Production Process in pp Collision in CMS Data from Symmetry Scaling Perspective

“…Zhao et al [27] introduced Multifractal Detrended Cross-Correlation Analysis(MF-DXA) by combining MF-DFA and DXA methods to examine higher degree of multifractal parameters of two crosscorrelated series. MF-DXA method has been applied with substantially higher degree of accuracy in the analysis of the unrevealed cross-correlation in the various fields of physics, physiology finance and power markets [26,27] and also in the fields of particle physics [28].…”

“…We have performed the scaling analysis of the pseudorapidity space taken out from Pb-Pb VSD masterclass data at 2.76T eV per nucleon pair from AL-ICE Collaboration [3] using both the method of complex network based Visibility Graph and multifractal-DFA(MF-DFA) [15,16], to study the prospective phase transition and the signature of QGP [29,4]. We also studied multiplicity fluctuation process in nucleus-nucleus and hadron-nucleus interactions by applying complex network and chaos based Visibility Graph methodology in quite a few recent works [30,28,31,32,33,34,35,36,6]. These techniques have also been successfully applied to identify phase transitions in temperature driven magnetization properties [37] and also in temperature-driven phase transition from liquid to vapour state [38].…”