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Statistics of event by event fluctuations

Author

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  • Manimaran, P.
  • Panigrahi, Prasanta K.

Abstract

Following Hwa and Wu [R.C. Hwa, Y. Wu, Phys. Rev. C 60 (1999) 0544904], we characterize the fluctuation behavior of the hadron density produced during quark-hadron phase transition, as modeled by a 2D Ising model. Using a recently developed discrete wavelet based approach, the scaling behavior is studied at temperatures below, at and above Tc. At Tc, we find the Hurst exponent H≃1, as observed in a recent experimental finding [L. Qin, M. Ta-chung, Phys. Rev. D 72 (2005) 014011]. However, as compared to the R/S analysis, which yields only the Hurst exponent, our local approach finds a correlation behavior and multifractal properties at temperatures below, at and above Tc. We find evidence for a transition from Brownian to fractional Browian motion near Tc. The correlation behavior compares well with the results obtained from a continuous wavelet based average wavelet co-efficient method, as well as with Fourier power spectral analysis.

Suggested Citation

  • Manimaran, P. & Panigrahi, Prasanta K., 2010. "Statistics of event by event fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3703-3710.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:18:p:3703-3710
    DOI: 10.1016/j.physa.2010.05.001
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    Cited by:

    1. Pal, Mayukha & Satish, B. & Srinivas, K. & Rao, P. Madhusudana & Manimaran, P., 2015. "Multifractal detrended cross-correlation analysis of coding and non-coding DNA sequences through chaos-game representation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 596-603.

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