An Extensive Study of Bose-Einstein Condensation in Liquid Helium using Tsallis Statistics

TL;DR

This study applies Tsallis statistics to model Bose-Einstein condensation in liquid helium, showing that a non-ideal parameter improves agreement with experimental critical temperature and links non-equilibrium conditions with atomic interactions.

Contribution

It introduces a non-ideal statistical framework using Tsallis statistics to better match experimental data on liquid helium's phase transition.

Findings

Critical temperature aligns with experimental value at q~1.4

Deviations occur at q=1, indicating non-ideal effects

Connects non-equilibrium conditions with atomic interactions

Abstract

Realistic scenario can be represented by general canonical ensemble way better than the ideal one, with proper parameter sets involved. We study the Bose-Einstein condensation phenomena of liquid helium within the framework of Tsallis statistics. With a comparatively high value of the deformation parameter $q(\sim 1.4)$, the theoretically calculated value of the critical temperature($T_c$) of the phase transition of liquid helium is found to agree with the experimentally determined value ($T_c = 2.17~\rm{K}$), although they differs from each other for $q=1$ (undeformed scenario). This throws a light on the understanding of the phenomenon and connects temperature fluctuation(non-equilibrium conditions) with the interactions between atoms qualitatively. More interactions between atoms give rise to more non-equilibrium conditions which is as expected. \noindent {{\bf Keywords}: Tsallis statistics, Bose-Einstein condensation, liquid helium.}