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

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.