Nonextensive thermodynamics with finite chemical potential, hadronic matter and protoneutron stars

The nonextensive 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 mu <= m. However some inconsistencies of previous references are corrected when mu > m. A discontinuity in the first derivatives of the partition function and its effects are discussed in details. We show that at similar conditions, the nonextensive statistics provide a harder EOS than that provided by the Boltzmann-Gibbs statistics. This fact induced us to consider an application to a proto-neutron star, which is discussed for different assumptions.