Generalized Statistics and the Formation a Quark-Gluon Plasma

Abstract

The aim of this paper is to investigate the effect of a non-extensive form of statistical mechanics proposed by Tsallis on the formation of a quark-gluon plasma (QGP). We suggest to account for the effects of the dominant part of the {\itshape long-range} interactions among the constituents in the QGP by a change in the statistics of the system in this phase, and we study the relevance of this statistics for the phase transition. The results show that small deviations ($\approx 10$) from Boltzmann-Gibbs statistics in the QGP produce a noticeable change in the phase diagram, which can, in principle, be tested experimentally.

17 pages, 2figures

References in corpus (6)

• Thermal Equilibration and Expansion in Nucleus-Nucleus Collision at the AGS
• Probing the Phase Boundary between Hadronic Matter and the Quark-Gluon-Plasma in Relativistic Heavy Ion Collisions
• Some Bounds upon Nonextensivity Parameter Using the Appropriate Generalized Distribution Functions
• Generalized Statistics and High Tc Superconductivity
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• Nonextensive thermodynamics applied to superconductivity

Cited by in corpus (19)

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• Nonextensive statistical effects in the quark-gluon plasma formation at relativistic heavy-ion collisions energies
• Thermodynamic Consistency of the $q$-Deformed Fermi-Dirac Distribution in Nonextensive Thermostatics
• Kappa-deformed Statistics and the Formation of a Quark-Gluon Plasma
• On the Cut-Off Prescriptions Associated with Power-Law Generalized Thermostatistics
• Nonextensive effects in the Nambu--Jona-Lasinio model of QCD
• Color Superconductivity and Tsallis Statistics
• Nonextensive statistical effects in the hadron to quark-gluon phase transition
• Nonextensive Nambu Jona-Lasinio model of QCD matter revisited
• Nonextensive statistical effects on the relativistic nuclear equation of state
• Different Non-extensive Models for heavy-ion collisions
• Non-Extensive Quantum Statistics with Particle - Hole Symmetry
• Generalized Ensemble Theory with Non-extensive Statistics
• Generalized Thermostatistics and Bose-Einstein Condensation
• Non-extensive distributions for a relativistic Fermi Gas
• Nonextensive lattice gauge theories: algorithms and methods
• Multiparticle production processes from the Information Theory point of view
• QCD phase transition at finite temperature and chemical potential with the non-extensive statistics
• Nonextensive quasiparticle description of QCD matter