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 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.