Non-extensive Statistical Effects on the Thermodynamic Properties of Quark Matter

In the present work, we apply Tsallis non-extensive statistics to study the thermodynamic properties of quark matter in the chiral SU(3) mean field model. Within this model, the quark matter properties are modified through the scalar fields \(\sigma , \zeta , \delta , \chi \) and the vector fields \(\omega , \rho \) at finite temperature and chemical potential. Non-extensive effects have been introduced through a dimensionless parameter q and the results are compared to the extensive case ( \(q\rightarrow 1\) ). In the non-extensive case, the exponential in the Fermi-Dirac (FD) function is modified to a q-exponential form. The influence of the parameter on various thermodynamic properties such as energy density, entropy density and trace anomaly is investigated.