Nonextensive thermodynamics with finite chemical potentials and protoneutron stars

TL;DR

This paper develops a nonextensive thermodynamic framework for quantum gases with finite chemical potentials and applies it to analyze the stability of protoneutron stars, correcting previous inconsistencies and extending the theoretical understanding.

Contribution

It introduces a corrected formalism for nonextensive thermodynamics of quantum gases with finite chemical potentials and applies it to astrophysical protoneutron star stability analysis.

Findings

Agreement with previous models for μ ≤ m

Corrections for fermions when μ > m

Insights into protoneutron star stability

Abstract

We derive the nonextensive thermodynamics of an ideal quantum gas composed by bosons and/or fermions with finite chemical potentials. We find agreement with previous works when $\mu \le m$, and some inconsistencies are corrected for fermions when $\mu > m$. This formalism is then used to study the thermodynamical properties of hadronic systems based on a Hadron Resonance Gas approach. We apply this result to study the protoneutron star stability under several conditions.