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Multifractal detrended moving average analysis of particle density functions in relativistic nuclear collisions

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  • Mali, Provash
  • Mukhopadhyay, Amitabha
  • Singh, Gurmukh

Abstract

Fluctuations in particle density functions in 28Si+Ag(Br) collision at 14.5A GeV and 32S+Ag(Br) collision at 200A GeV are investigated using the multifractal detrended moving average (MFDMA) method. Multifractal parameters obtained from the data analysis are systematically compared with the ultra-relativistic quantum molecular dynamics (UrQMD) model simulation. It is found that the single particle density functions in both the experiments are multifractal in nature. Further, the degree of multifractality in the simulated event samples is almost equal to the corresponding empirical data. The results of this analysis differ significantly from those obtained from other conventional techniques of multifractal analysis previously used for the same sets of data.

Suggested Citation

  • Mali, Provash & Mukhopadhyay, Amitabha & Singh, Gurmukh, 2016. "Multifractal detrended moving average analysis of particle density functions in relativistic nuclear collisions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 323-332.
    • Handle: RePEc:eee:phsmap:v:450:y:2016:i:c:p:323-332
    DOI: 10.1016/j.physa.2016.01.023
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    References listed on IDEAS

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    1. Mali, P. & Sarkar, S. & Ghosh, S. & Mukhopadhyay, A. & Singh, G., 2015. "Multifractal detrended fluctuation analysis of particle density fluctuations in high-energy nuclear collisions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 25-33.
    2. Wang, Yudong & Wu, Chongfeng & Pan, Zhiyuan, 2011. "Multifractal detrending moving average analysis on the US Dollar exchange rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3512-3523.
    3. 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.
    4. Gao-Feng Gu & Wei-Xing Zhou, 2010. "Detrending moving average algorithm for multifractals," Papers 1005.0877, arXiv.org, revised Jun 2010.
    5. Chianca, C.V. & Ticona, A. & Penna, T.J.P., 2005. "Fourier-detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(3), pages 447-454.
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    Cited by:

    1. Mali, P. & Manna, S.K. & Haldar, P.K. & Mukhopadhyay, A. & Singh, G., 2017. "Detrended analysis of shower track distribution in nucleus-nucleus interactions at CERN SPS energy," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 86-94.

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