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Non-Gaussian thermostatistical considerations upon the Saha equation

Author

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  • Soares, Bráulio B.
  • Barboza, Edésio M.
  • Abreu, Everton M.C.
  • Neto, Jorge Ananias

Abstract

The Saha equation provides the relation between two consecutive ionization state populations, like the Maxwell–Boltzmann velocity distribution of the atoms in a gas ensemble. Saha equation can also consider the partitions functions for both states and its main application is in stellar astrophysics population statistics. This paper presents two non-Gaussian thermostatistical generalizations for the Saha equation: the first one towards the Tsallis nonextensive q-entropy and the other one is based upon Kaniadakis κ-statistics. Both thermostatistical formalisms are very successful when used in several complex astrophysical statistical systems and we have demonstrated here that they work also in Saha’s ionization distribution. We have obtained new chemical q-potentials and their respective graphical regions with a well defined boundary that separated the two symmetric intervals for the q-potentials. The asymptotic behavior of the q-potential was also discussed. Besides the proton–electron, we have also investigated the complex atoms and pair production ionization reactions.

Suggested Citation

  • Soares, Bráulio B. & Barboza, Edésio M. & Abreu, Everton M.C. & Neto, Jorge Ananias, 2019. "Non-Gaussian thermostatistical considerations upon the Saha equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 532(C).
    • Handle: RePEc:eee:phsmap:v:532:y:2019:i:c:s0378437119309367
    DOI: 10.1016/j.physa.2019.121590
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    Cited by:

    1. da Silva, Sérgio Luiz E.F. & Silva, R. & dos Santos Lima, Gustavo Z. & de Araújo, João M. & Corso, Gilberto, 2022. "An outlier-resistant κ-generalized approach for robust physical parameter estimation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).

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