A Study of Multifractal Spectra and Renyi Dimensions in 14.5A GeV/c ²⁸Si-Nucleus Collisions

Abstract

A systematic analysis of the data on 14.5A GeV/c 28 Si-nucleus collisions is carried out to investigate the behaviours of Renyi dimensions, D q and Multifractal Spectral Function, f ( α q ) . The Renyi dimensions, D q are observed to decrease with increasing order of the moments, q . However, the Multifractal Spectra are concave downwards with their maxima occurring around α q =1.21 ± 0.01 . A continuous curve representing Multifractal Spectral Function, f ( α q ), characterizes manifestation of fluctuations in the rapidity space.