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

1st International Kaidalov Workshop on the Phenomenology of High Energy Particle Physics

Deppman, Airton^1 ; Megías, Eugenio^2,3 ; Menezes, Débora P.^4,5

Instituto de Física, Universidade de São Paulo - Rua Do Matão, Cidade Universitaria, Travessa R Nr.187 CEP, Sao Paulo

05508-090, Brazil^1

Grup de Física Teorica and IFAE, Departament de Fisica, Universitat Autonoma de Barcelona, Bellaterra, Barcelona

E-08193, Spain^2

Max-Planck-Institut fur Physik (Werner-Heisenberg-Institut), Fohringer Ring 6, Munich

D-80805, Germany^3

Departamento de Física, CFM, Universidade Federal de Santa Catarina, CP 476, Florianopolis SC

CEP 88.040-900, Brazil^4

Departamento de Física Aplicada, Universidad de Alicante, Ap. Correus 99, Alicante

E-03080, Spain^5

关键词: Boltzmann-Gibbs statistics;    First derivative;    Hadronic matters;    Neutron stars;    Nonextensive statistics;    Nonextensive thermodynamics;    Partition functions;    Thermodynamical quantities;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/607/1/012007/pdf
DOI  :  10.1088/1742-6596/607/1/012007

来源: IOP

【 摘 要 】

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 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 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.