Abstract
Entropy creation in multiparticle system is investigated by analysing the experimental data on ion-ion collisions at AGS and SPS energies and the results thus obtained are compared with those predicted by multiphase transport and correlation-free Monte Carlo models. Entropies produced in limited- and full-phase space are observed to increase with increasing beam energy. The entropy values, normalized to the maximum rapidity and plotted against pseudorapidity (bin width also normalized to the maximum rapidity), are found to be energy independent, exhibiting a kind of entropy scaling. Such scaling is observed in the full phase space as well as in the regions confined to the forward or backward hemispheres. The findings also reveal that there exist strong correlations amongst the particles produced in the forward and backward hemispheres around the midrapidity. These correlations are found to be of short range in nature, and the contributions from the long-range correlations seem to be absent. PACS numbers: 25.75-q, 25.75.Gz.
Highlights
Renyi entropies of particles produced may be estimated[4] from their probability distribution, using the relation, Hk = n(pn)k, where pn is probability of production of n relativistic charged particles in an interaction
The invariance of entropy under an arbitrary change of multiplicity scale allows to choose a subsample of particles, like charged particle in limited η-windows. It has been observed[1, 2] that entropy in a given η window increases with increasing beam energy while the entropy normalized to maximum rapidity becomes energy independent quantity, indicating a kind of entropy scaling in hadronic and ion-ion collisions
It was considered worthwhile to study the dependence of Renyi entropy, on charged particle multiplicity by analysing the experimental data on 16O-AgBr collisions at incident energies 14.5A, 60A and 200A
Summary
The invariance of entropy under an arbitrary change of multiplicity scale allows to choose a subsample of particles, like charged particle in limited η-windows. The study of entropy dependence on the charged particle multiplicity in limited η window is expected to provide interesting information in the context of multiparticle production process.
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