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Wavelet analysis of event by event fluctuations

P. Manimaran·Prasanta K. Panigrahi
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Abstract

The temporal fluctuations of produced hadron density in heavy ion collisions, modelled by 2D Ising model at temperatures $T_c$ and below, are studied through a recently developed wavelet based fluctuation analysis method. At $T_c$, long-range correlated multifractal behavior, matching with the recently observed Hurst exponent $H\simeq 1$, is found. Below $T_c$ uncorrelated monofractal behavior is seen. The correlation behavior compares well with the results obtained from continuous wavelet based average wavelet co-efficient method, as well as with Fourier power spectral analysis.

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P. Manimaran, Prasanta K. Panigrahi. 2006-03-18. Wavelet analysis of event by event fluctuations. https://arxiv.org/abs/physics/0603150

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