Fractal Analysis of Fluctuation in the Emission Spectrum of Target-Associated Fast Particles

Abstract

We study the intermittent and fractal behavior of the emission spectrum of targetassociated fast particles from 84 Kr-AgBr interactions at 0.95 GeV/A. We used χ(cos θ) as the phase space variable. Normalized or scaled factorial moments studies for various orders of moment q = 2-5, confirmed the intermittent behavior. Gq moments have a fractal interpretation in their fluctuation in phase space. Our studies reveal the multifractal behavior of the emission spectrum.

Scaling Nature of Target Fragments in the 28Si-Emulsion Interaction at an Energy of 14.6A GeV

“…The decreasing pattern in the values of D q with the order of moments q clearly gives an agreement with the multifractal cascade mechanism [34], and this behavior also indicates that there is no existence of a second-order phase transition. These results are similar to those reported by other workers [27,29,30]. Therefore, the analysis of observed scaled factorial moments and G q -moments reveals the self-similarity characteristic in the multiparticle production.…”

“…The generated events show a large deviation from experimental values for the higher order of moments, q, and are represented by dotted lines in the same figures for grey and black particles. Similar results have been represented in Gupta [30].…”

“…The dependence of τ q on the order of moments, q is shown in Fig. 3 for target-associated particles, i.e., grey and black particles, along with the values obtained by other workers [30]. It is also observed from the figure that the values of τ q are nearly independent of the energy and the mass of projectiles, as well as of the target mass.…”

Evidence of phase transition in the break up of Kr-projectile nuclei at 0.95A GeV

“…Details of the experimental technique are given in our earlier publications where we have studied spatial distribution of target fragments in the light of intermittency and multifractality [44][45][46], universal scaling behavior of fast helium fragments [47] and emission characteristics of intermediate mass projectile fragments [48,49]. In this work we have developed a 'toy model' of nuclear multi-fragmentation and examined, using cluster approximation technique, the effect of mass conservation constraint on the traditional signals of critical behavior.…”