Abstract

In the present articles an attempt has been made for the determination of multiplicity fluctuations of the secondary charged particles produced in relativistic heavy ion collisions with the help of the Ginzburg-Landau (G-L) approach to find the first-order phase transition (QGP to hadron phase state). This study has been carried out for the experimental data along with the theoretical prediction of Ultra-relativistic Quantum Molecular Dynamics model (UrQMD) and Monte-Carlo (RanMC) simulation. The parameters of the theoretical model and the values of scaling exponent are found in good agreements.

Highlights

  • It is well-known that relativistic nuclear collisions by using heavy ion is an important tool to study possible creation of a hot new matter state, quark-gluon plasma (QGP) in laboratory

  • We studied the difference between the scaling exponent “ν” which was calculated with the help of G-L model of QGP to hadrons phase transitions for Random events of Monte-Carlo simulations and the ultra-relativistic Quantum Molecular Dynamics model (UrQMD) [15, 16]

  • In order to study the intermittency in multiparticle production, the whole pseudo-rapidity phase-space has been divided into number of bins M = 2-30 and the normalized factorial moment, Fq, for q = 2 - 7 are calculated by using Eqn (12) due to the interactions caused by particles in the nuclear collisions of (Au + Au) at an energy √ SNN = 130GeV

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Summary

Introduction

It is well-known that relativistic nuclear collisions by using heavy ion is an important tool to study possible creation of a hot new matter state, quark-gluon plasma (QGP) in laboratory. In such nuclear collisions, the QGP might be formed and the system will be cooling with expanding and undergo a phase transition from deconfined state (QGP) of matter to confined hadrons [1,2]. The formalism for Ginzburg-Landau [10,11,12,13] and the scaling exponent in relation, βq = (q − 1)ν help to provide a useful diagnostic tool to detect the existence of second order phase transitions in hydronization process. The parameters of this theoretical model have been found for both second-order [10,11,12], and first-order [13, 14] phase transitions and the scaled factorial

59 Mohammad Ayaz Ahmad
Formulation of Ginzburg-Landau Model for Phase Transition
Results and Discussions
Conclusions
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