2013/12/26 by Eugenio Megias, Eugenio Megías, Megias, Eugenio +6
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Statistical Mechanics and Entropy #Theoretical and Computational Physics #hep-ph #nucl-th
paper · pdf · doi:10.48550/arxiv.1312.7134
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
openalex publication_date 2013/12/26 · arxiv created 2014/11/18 · arxiv updated 2014/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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≤ m. However some inconsistencies of previous references are corrected when μ> 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.