Statistics of event by event fluctuations

P. Manimaran and Prasanta K. Panigrahi

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 18, 3703-3710

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.

Keywords: Non-stationary time series; Phase transition; Fractals; Wavelets; Hurst exponent (search for similar items in EconPapers)
Date: 2010
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:18:p:3703-3710

DOI: 10.1016/j.physa.2010.05.001

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