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.

Nonextensive statistical effects in the quark-gluon plasma formation at relativistic heavy-ion collisions energies

“…According to the results of Ref. [39], we find that at low ρ B , in presence of non-extensive effects, the value of the σ meson field is increased respect to the standard case and decreased at higher values of ρ B . This important feature is due to the fact that for > 1 and fixed baryon density (or µ B ), ) and the Tsallis enhancement at high energy tail is favored also at higher µ B .…”

“…In this paper, we extend previous investigation (Ref. [39]) to the regime of heavy-ion collisions, by by considering the physical conditions in which strange (hadronic and quark) particles can take place, and we analyze the mixed phase region following the Gibbs condition for the phase equilibrium by requiring the global conservation of the three charges: baryon number, electric charge and zero net strangeness. We show that, in the presence of non-extensive statistical effects, there is a remarkable variation in many physical features such as a strong enhancement of the strange hadronic particles production both in the hadronic and in the mixed phase, together with a significant variation in the particle concentrations and a softening of the pressure in the mixed phase.…”

“…In this context the non-extensive statistical mechanics proposed by Tsallis [1][2][3] can be used to describe and investigate such physical phenomena. Nonextensive statistical effects should strongly affect the finite temperature and nuclear density Equation of State (EOS) [35][36][37][38][39][40]. In fact, by varying temperature and density, the EOS reflects (in terms of the macroscopic thermodynamical variables) the microscopic interactions between the different nuclear matter phases.…”

Nuclear phase transition and thermodynamic instabilities in dense nuclear matter

“…This is because, in the first stage of PNS evolution, electrons and neutrinos are trapped inside the stellar matter and, therefore, the lepton number must be conserved until neutrinos escape out of the PNS [2]. The Lagrangian density can be written in term of the hadronic [4,13,14] plus leptonic component, as follow:…”

Nonextensive critical effects in the NJL model

“…Additionally, when calculating energies and condensates we follow now [11] and use the following q-versions of quark condensates:…”