Abstract
We have strived to look at the behavior of Levy stability index, mu and fractal structure in the distributions of relativistic charged particles in terms of modified 'G(q)(m)' moments using experimental and model (FRITIOF and HIJING, Heavy Ion Jet INteraction Generator) based simulated 14.5 GeV per nucleon Si-28-AgBr collisions. The dynamical component of the multifractal moments is gleaned using correlation free Monte Carlo (MC-RAND) simulated events. The results are compared with those obtained earlier using scaled factorial moments, F-q. The investigation reveals that the distribution of relativistic charged particles in pseudorapidity space exhibits fractal behavior, dynamical fluctuations and multifractality in both experimental and generated data. Our findings also reveal manifestation of non-thermal phase transition in the experimental data in the two approaches and the value of Levy index, mu for the experimental data is consistent with the Levy law description of density distribution of produced charged particles. Furthermore, the values of mu for the experimental data are reproduced by the FRITIOF generated data but the values of mu obtained by analysing HIJING data specifically in terms of G(q)(m) and F-q moments violate the Levy stability condition: 0 <= mu <= 2.