BEC in Nonextensive Statistical Mechanics

TL;DR

This paper investigates how slight deviations from standard Bose-Einstein statistics within Tsallis's nonextensive framework significantly affect the BEC transition temperature across various systems.

Contribution

It introduces a nonextensive statistical mechanics approach to analyze BEC, revealing substantial effects of weak nonextensivity on transition temperatures.

Findings

Small nonextensivity causes large shifts in BEC temperature

Results apply to homogeneous, trapped, and relativistic gases

Deviations from standard statistics are significant in BEC behavior

Abstract

We discuss the Bose-Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis's nonextensive statistical mechanics. We study the corrections to the standard BEC formulas due to a weak nonextensivity of the system. In particular, we consider three cases in the D-dimensional space: the homogeneous gas, the gas in a harmonic trap and the relativistic homogenous gas. The results show that small deviations from the extensive Bose statistics produce remarkably large changes in the BEC transition temperature.