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

TL;DR

This paper explores how nonextensive statistical mechanics influences the phase transition between hadronic matter and quark-gluon plasma, highlighting its significant impact even with slight deviations from classical statistics.

Contribution

It introduces the application of nonextensive statistical mechanics to the relativistic equation of state for phase transitions in high-energy nuclear matter.

Findings

Nonextensive effects significantly alter the equation of state.

Mixed phase formation is affected by nonextensive statistics.

Small deviations from Boltzmann-Gibbs statistics have notable impacts.

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.