Bose-Einstein condensation and non-extensive statistics

TL;DR

This paper investigates Bose-Einstein condensation within non-extensive statistics, analyzing how the critical temperature and condensate properties depend on the entropic index q, with implications for high-energy and cold-atom physics.

Contribution

It extends Bose-Einstein condensation theory to non-extensive statistics, revealing the limited q-range for condensation and providing numerical thermodynamic results.

Findings

Condensate exists only within a limited q-range.

Critical temperature depends on the entropic index q.

Numerical results for thermodynamic quantities like energy and specific heat.

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.