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

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

Physica A: Statistical Mechanics and its Applications, 2022, vol. 585, issue C

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.

Keywords: Bose–Einstein Condensate; Non-Extensive Statistics; Hadron; Quark–Gluon Plasma; Neutron-Star; Cold-Atom (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:585:y:2022:i:c:s0378437121007135

DOI: 10.1016/j.physa.2021.126440

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