Nonextensive thermodynamics for hadrons with finite chemical potentials

TL;DR

This paper develops a nonextensive thermodynamics framework for an ideal gas of bosons and fermions with finite chemical potentials, correcting previous inconsistencies and analyzing the effects on equations of state.

Contribution

It derives thermodynamic quantities from the partition function for systems with finite chemical potentials, addressing previous inconsistencies for  > m and discussing discontinuities.

Findings

Thermodynamic quantities agree with previous results when   m.

Corrects inconsistencies in previous models for  > m.

Nonextensive statistics yield a stiffer equation of state than Boltzmann-Gibbs.

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.