Article

# Nonequilibrium Models of Relativistic Heavy-Ion Collisions

Journal of Physics G Nuclear and Particle Physics (Impact Factor: 5.33). 12/2004; DOI: 10.1088/0954-3899/31/6/037

Source: arXiv

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**ABSTRACT:**We investigate the relativistic equation of state of hadronic matter and quark-gluon plasma at finite temperature and baryon density in the framework of the non-extensive statistical mechanics, characterized by power-law quantum distributions. We impose the Gibbs conditions on the global conservation of baryon number, electric charge and strangeness number. For the hadronic phase, we study an extended relativistic mean-field theoretical model with the inclusion of strange particles (hyperons and mesons). For the quark sector, we employ an extended MIT-Bag model. In this context we focus on the relevance of non-extensive effects in the presence of strange matter.Central European Journal of Physics 02/2012; 10(3). · 0.91 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**Elliptic flow in heavy-ion collisions at incident energies $E_{lab}\simeq$ (1--160)A GeV is analyzed within the model of 3-fluid dynamics (3FD). We show that a simple correction factor, taking into account dissipative affects, allows us to adjust the 3FD results to experimental data. This single-parameter fit results in a good reproduction of the elliptic flow as a function of the incident energy, centrality of the collision and rapidity. The experimental scaling of pion eccentricity-scaled elliptic flow versus charged-hadron-multiplicity density per unit transverse area turns out to be also reasonably described. Proceeding from values of the Knudsen number, deduced from this fit, we estimate the upper limit the shear viscosity-to-entropy ratio as $\eta/s \sim 1-2$ at the SPS incident energies. This value is of the order of minimal $\eta/s$ observed in water and liquid nitrogen. Comment: 10 pages, 7 figures, version accepted by Phys. Rev. CPhysical Review C 07/2009; 80(6):064904-064904. · 3.72 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We investigate the relativistic equation of state of hadronic matter and quark-gluon plasma at finite temperature and baryon density in the framework of the nonextensive statistical mechanics, characterized by power-law quantum distributions. We study the phase transition from hadronic matter to quark-gluon plasma by requiring the Gibbs conditions on the global conservation of baryon number and electric charge fraction. We show that nonextensive statistical effects play a crucial role in the equation of state and in the formation of mixed phase also for small deviations from the standard Boltzmann-Gibbs statistics. Comment: 13 pages, 10 figuresJournal of Physics G Nuclear and Particle Physics 05/2010; · 5.33 Impact Factor

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