Quark matter and non-extensive thermodynamics

We investigate different ways of describing the thermodynamics of prehadronic matter in high-energy heavy-ion collisions. The non-extensive thermodynamics with certain assumptions enables an agreement between two important experimental facts. That cannot be achieved using the conventional Gibbs statistics. A massless quark-gluon plasma with E/N=1 GeV energy per particle and T=175 MeV spectral slope temperature can be assumed.