  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.
