Nonextensive statistical effects in the hadron to quark-gluon phase transition

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.

13 pages, 10 figures

References in corpus (19)

• Dynamical phase trajectories for relativistic nuclear collisions
• Testing Deconfinement at High Isospin Density
• Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation
• Modified Hagedorn formula including temperature fluctuation - Estimation of temperatures at RHIC experiments -
• Hot and dense hadronic matter in an effective mean field approach
• Nonextensive effects on the relativistic nuclear equation of state
• Microscopic models and effective equation of state in nuclear collisions at FAIR energies
• Nonextensive effects in the Nambu--Jona-Lasinio model of QCD
• Dynamical Correlations as Origin of Nonextensive Entropy
• Softening of the equation of state of matter at large densities and temperatures: chiral symmetry restoration vs. quark deconfinement
• Power Law in Micro-Canonical Ensemble with Scaling Volume Fluctuations
• Collective Flow in Heavy-Ion Collisions from AGS to SPS
• Deformed quantum mechanics and q-Hermitian operators
• Color Superconductivity and Tsallis Statistics
• Nonextensive Quantum H-Theorem
• How Sensitive are Di-Leptons from Rho Mesons to the High Baryon Density Region?
• Nonextensive effects on the phase structure of QHD
• Nonextensive relativistic nuclear and subnuclear equation of state
• SPS energy scan results and physics prospects at FAIR

Cited by in corpus (19)

• Nonextensive statistical effects in protoneutron stars
• Nonextensive statistical effects in the quark-gluon plasma formation at relativistic heavy-ion collisions energies
• Nonextensive Nambu Jona-Lasinio model of QCD matter revisited
• Nonextensive statistical effects and strangeness production in hot and dense nuclear matter
• Consistent nonadditive approach and nuclear equation of state
• Nonextensive Nuclear Liquid-Gas Phase Transition
• Thermodynamics and relativistic kinetic theory for q-generalized Bose-Einstein and Fermi-Dirac systems
• Equivalence of volume and temperature fluctuations in power-law ensembles
• Hadronic freeze-out in an effective relativistic mean field model
• Non-extensive distributions for a relativistic Fermi Gas
• Generalized Nonlinear Proca Equation and its Free-Particle Solutions
• Non-extensive thermostatistics approach to metal melting entropy
• Propagation of non-linear waves in hot, ideal, and non-extensive quark-gluon plasma
• Nonlinear waves in a hot, viscous and nonextensive quark gluon plasma
• Analytical Results for the Classical and Quantum Tsallis Hadron Transverse Momentum Spectra: the Zeroth Order Approximation and beyond
• Nonlinear statistical effects in relativistic mean field theory
• QCD phase transition at finite temperature and chemical potential with the non-extensive statistics
• Non-extensive Effects on the QCD Equation of State and Fluctuations of Conserved Charges within Polyakov Quark Meson Model
• Strangeness production at finite temperature and baryon density in an effective relativistic mean field model