Three-Dimensional Statistical Model for Density Fluctuations in Heavy Ion Collisions

The multiplicity difference correlators between two well-separated bins in high-energy heavy-ion collisions are studied as a means to detect evidence of a first-order quark-hadron phase transition. Analytical expressions for the scaled factorial moments of multiplicity difference distribution are obtained for small bin size δ with mean multiplicity in the bin s ≤ 1.0 within Ginzburg-Landau description. The scaling behaviors between the moments are still valid, though they behave completely different from the so-called intermittency patterns. A universal exponent γ = 1.4066 is given to describe the dynamical fluctuations in the phase transition in small δ limit.The theoretical study of fluctuations in quark-hadron phase transition has been suggested for several years [1] . The first motivation came from the quantitatively different results in Monte Carlo simulations [2] on intermittency for pp collisions without phase transition from those theoretical predictions with the onset of phase transition [1] . Since then, multiplicity fluctuations are studied with phase transitions of second-order [3] and first-order [4−6] within GinzburgLandau model, and it is regarded as a possible means to reveal some features for the phase transition. Most of these works give the violation of the intermittency patterns but show remarkable scaling behaviors between F q and F 2 , and there seems to exist a universal exponent ν [1,3,6] . It is suggested that the exponent ν can be used as a useful diagnostic tool to detect the formation of QGP. In [4,5] ln F q are studied analytically for first-order phase transition and are expanded as power series of δ 1/3 , and it is shown that the set of experimentally fitted coefficients for δ

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Three-Dimensional Statistical Model for Density Fluctuations in Heavy Ion Collisions

Cited by 6 publications

References 18 publications

Towards a Field Theoretical Description of Multiparticle Production in High Energy Collisions

Towards a Field Theoretical Description of Multiparticle Production in High Energy Collisions

Intermittency and other Scaling Behaviors in Nuclear Collisions

Multiplicity difference correlators under first-order QGP phase transition

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