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Bose–Einstein condensation and non-extensive statistics for finite systems

Author

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  • Megías, E.
  • Timóteo, V.S.
  • Gammal, A.
  • Deppman, A.

Abstract

We study the Bose–Einstein condensation in non-extensive statistics for a free gas of bosons, and extend the results to the non-relativistic case as well. We present results for the dependence of the critical temperature and the condensate fraction on the entropic index, q, and show that the condensate can exist only for a limited range of q in both relativistic and non-relativistic systems. We provide numerical results for other thermodynamics quantities like the internal energy, specific heat and number fluctuations. We discuss the implications for high energy physics and hadron physics. The results for the non-relativistic case can be of interest in cold-atom systems.

Suggested Citation

  • Megías, E. & Timóteo, V.S. & Gammal, A. & Deppman, A., 2022. "Bose–Einstein condensation and non-extensive statistics for finite systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    • Handle: RePEc:eee:phsmap:v:585:y:2022:i:c:s0378437121007135
    DOI: 10.1016/j.physa.2021.126440
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    References listed on IDEAS

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    1. Megías, Eugenio & Menezes, Débora P. & Deppman, Airton, 2015. "Non extensive thermodynamics for hadronic matter with finite chemical potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 15-24.
    2. Borges, Ernesto P., 2004. "A possible deformed algebra and calculus inspired in nonextensive thermostatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 95-101.
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    Cited by:

    1. Ervin Kaminski Lenzi & Luiz Roberto Evangelista & Luciano Rodrigues da Silva, 2023. "Aspects of Quantum Statistical Mechanics: Fractional and Tsallis Approaches," Mathematics, MDPI, vol. 11(12), pages 1-15, June.

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