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Advances in High Energy Physics
Volume 2018, Article ID 6384357, 15 pages
https://doi.org/10.1155/2018/6384357
Research Article

Multifractal Analysis of Charged Particle Multiplicity Distribution in the Framework of Renyi Entropy

1Department of Physics, New Alipore College, L Block, New Alipore, Kolkata 700053, India
2Institute of Space Science, Bucharest, Romania

Correspondence should be addressed to Swarnapratim Bhattacharyya; moc.oohay@mitarp_anraws

Received 3 March 2018; Accepted 22 May 2018; Published 26 June 2018

Academic Editor: Sakina Fakhraddin

Copyright © 2018 Swarnapratim Bhattacharyya et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

A study of multifractality and multifractal specific heat has been carried out for the produced shower particles in nuclear emulsion detector for 16O-AgBr, 28Si-AgBr, and 32S-AgBr interactions at 4.5AGeV/c in the framework of Renyi entropy. Experimental results have been compared with the prediction of Ultra-Relativistic Quantum Molecular Dynamics (UrQMD) model. Our analysis reveals the presence of multifractality in the multiparticle production process in high energy nucleus-nucleus interactions. Degree of multifractality is found to be higher for the experimental data and it increases with the increase of projectile mass. The investigation of quark-hadron phase transition in the multiparticle production in 16O-AgBr, 28Si-AgBr, and 32S-AgBr interactions at 4.5 AGeV/c in the framework of Ginzburg-Landau theory from the concept of multifractality has also been presented. Evidence of constant multifractal specific heat has been obtained for both experimental and UrQMD simulated data.