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Evidence of centrality dependent fractal behavior in high energy heavy ion interactions: Hint of two different sources

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  • Mondal, Mitali
  • Mondal, Arindam
  • Mondal, Joyati
  • Patra, Kanchan Kumar
  • Deb, Argha
  • Ghosh, Dipak

Abstract

Studies on large density fluctuations in produced particle spectra in high energy interactions provide enough information regarding the dynamics of the process of particle production. Various analyses have revealed self-similarity in particle production process. The concept of self-similarity is indicative of fractal geometry. The present analysis reports an exhaustive study on centrality dependence of event-by-event fluctuation of pions produced in16O-AgBr interactions at 60 A GeV using a non conventional tool based on complex network analysis, viz. visibility graph method. The analysis reveals different fractal behaviour as well as different clustering property for different centrality events and the amount of fractality and average clustering coefficient decrease with the increase of centrality. Estimation of Hurst exponent hints towards two different sources of fluctuation, fractional Brownian motion (fBm) and fractional Gaussian noises (fGn) for two different centrality classes.

Suggested Citation

  • Mondal, Mitali & Mondal, Arindam & Mondal, Joyati & Patra, Kanchan Kumar & Deb, Argha & Ghosh, Dipak, 2018. "Evidence of centrality dependent fractal behavior in high energy heavy ion interactions: Hint of two different sources," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 230-237.
    • Handle: RePEc:eee:chsofr:v:113:y:2018:i:c:p:230-237
    DOI: 10.1016/j.chaos.2018.06.006
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    1. Serrano, E. & Figliola, A., 2009. "Wavelet Leaders: A new method to estimate the multifractal singularity spectra," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2793-2805.
    2. Liu, Chuang & Zhou, Wei-Xing & Yuan, Wei-Kang, 2010. "Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(13), pages 2675-2681.
    3. Longfeng Zhao & Wei Li & Chunbin Yang & Jihui Han & Zhu Su & Yijiang Zou, 2017. "Multifractality and Network Analysis of Phase Transition," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-23, January.
    4. Yang, Yue & Wang, Jianbo & Yang, Huijie & Mang, Jingshi, 2009. "Visibility graph approach to exchange rate series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4431-4437.
    5. Yang, Yue & Yang, Huijie, 2008. "Complex network-based time series analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1381-1386.
    6. Ahmadlou, Mehran & Adeli, Hojjat & Adeli, Amir, 2012. "Improved visibility graph fractality with application for the diagnosis of Autism Spectrum Disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4720-4726.
    7. Xue Pan & Lei Hou & Mutua Stephen & Huijie Yang & Chenping Zhu, 2014. "Evaluation of Scaling Invariance Embedded in Short Time Series," PLOS ONE, Public Library of Science, vol. 9(12), pages 1-27, December.
    8. Bhaduri, Anirban & Bhaduri, Susmita & Ghosh, Dipak, 2017. "Visibility graph analysis of heart rate time series and bio-marker of congestive heart failure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 786-795.
    9. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    10. Mutua Stephen & Changgui Gu & Huijie Yang, 2015. "Visibility Graph Based Time Series Analysis," PLOS ONE, Public Library of Science, vol. 10(11), pages 1-19, November.
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