Upper limit on the transition temperature for non-ideal Bose gases

TL;DR

This paper demonstrates that non-ideal Bose gases have an upper temperature limit for Bose-Einstein condensation, suggesting a possible similar limit for superconductors, with estimates provided for realistic gases.

Contribution

It establishes an upper bound on the transition temperature for non-ideal Bose gases and explores implications for superconductors.

Findings

Existence of an upper temperature limit for Bose-Einstein condensation in non-ideal gases

Estimated upper limits for realistic Bose gases

Implication of an upper limit on superconductor transition temperatures

Abstract

In this paper we show that for a non-ideal Bose gas there exists an upper limit on the transition temperature above which Bose-Einstein condensation cannot occur regardless of the pressure applied. Such upper limits for some realistic Bose gases are estimated. This result implies that there may also exist an upper limit on the transition temperature of superconductors.