Relation between the thermodynamic Casimir effect in Bose-gas slabs and critical Casimir forces

TL;DR

This paper explores the connection between the thermodynamic Casimir effect in Bose-gas slabs and critical Casimir forces, revealing their underlying relationship through critical fluctuations and Bose-Einstein condensation.

Contribution

It demonstrates that the thermodynamic Casimir effect in Bose gases can be understood using general critical fluctuation results, bridging two areas of Casimir force research.

Findings

The thermodynamic Casimir effect in Bose gases relates to critical Casimir forces.

The results unify Casimir effects in critical phenomena and Bose-Einstein condensation.

Previous findings can be expressed through general fluctuation-induced Casimir effect results.

Abstract

In a recent letter, Martin and Zagrebnov [Europhys. Lett., 73 (2006) 1] discussed the thermodynamic Casimir effect for the ideal Bose gas confined in a thin film. We point out that their findings can be expressed in terms of previous general results for the Casimir effect induced by confined critical fluctuations. This highlights the links between the Casimir effect in the contexts of critical phenomena and Bose-Einstein condensation.