Bose-Einstein condensation and non-extensive statistics

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.

arXiv comment18 pages, 11 figures

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Cited by in corpus (5)

• Soft and hard scales of the transverse momentum distribution in the Color String Percolation Model
• On the fluctuations of the number of atoms in the condensate
• Nonlinear Klein-Gordon equation and the Bose-Einstein condensation
• Emergent spin polarization from $\rho$ meson condensation in rotating hadronic matter
• Bose-Einstein Condensation and Dissipative Dynamics in a Relativistic Pion Gas