Nonextensive thermodynamics for hadrons with finite chemical potentials

Abstract

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 $\mu \le m$. 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 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.

Comments: 12 pages, 7 figures, 2 tables; v2 improved discussion on the discontinuities appearing in Fig. 9; v3 improved discussion in sections III and IV, section on application to proto(neutron) stars removed, version to appear in Physica A