In this talk we show an implementation of the super statistics framework to a linear sigma model coupled to quarks, using distinct distribution within the Tsallis prescription for the effective potential. We investigate the impact of the finite volume and thermal fluctuations on the critical endpoint of the QCD phase diagram. The effective thermodynamic potential we obtain is a function of the thermal-fluctuations parameter $q$ and contains explicit volume dependence.

We find that the pseudocritical temperature $T_c $, at vanishing baryon chemical potential, is changed by around 7\% when the system volume decreases. In the phase diagram, we also find that the critical endpoint shifts towards higher densities and lower temperatures. Nevertheless, the temperature fluctuations do not significantly alter the value of $T_c$. The results are quantitatively the same while varying $q$, which models the out-of-equilibrium situation. This indicates the chiral symmetry restoration is robust against thermal fluctuations in this approximation.