Non extensive thermodynamics for hadronic matter with finite chemical potentials

•Partition function for nonextensive quantum gas at finite chemical potential.•Transition line between confined and deconfined regimes.•Relevant thermodynamical function in nonextensive statistics.•Possible application to neutron-star studies.

The non extensive thermodynamics of an ideal gas composed by bosons and/or fermions is derived from its partition function for systems with finite chemical potentials. It is shown that the thermodynamical quantities derived in the present work are in agreement with those obtained in previous works when μ≤mμ≤m. However some inconsistencies of previous references are corrected when μ>mμ>m. A discontinuity in the first derivatives of the partition function and its effects are discussed in detail. We show that at similar conditions, the non extensive statistics provide a harder equation of state than that provided by the Boltzmann–Gibbs statistics.