The Canonical Perfect Bose Gas in Casimir Boxes
Joseph V. Pule, Valentin A.Zagrebnov
TL;DR
This paper investigates Bose-Einstein condensation in a perfect Bose gas confined in anisotropic Casimir boxes, demonstrating that the condensation type remains consistent across ensembles but with differences in condensate distribution and fluctuations.
Contribution
It establishes the equivalence of generalized Bose-Einstein condensation in canonical and grand-canonical ensembles for anisotropic Casimir boxes, highlighting differences in condensate distribution.
Findings
Same type of condensation in both ensembles
Differences in condensate amounts in individual states
Variations in fluctuations between ensembles
Abstract
We study the problem of Bose-Einstein condensation in the perfect Bose gas in the canonical ensemble, in anisotropically dilated rectangular parallelpipeds (Casimir boxes). We prove that in the canonical ensemble for these anisotropic boxes there is the same type of generalized Bose-Einstein condensation as in the grand-canonical ensemble for the equivalent geometry. However the amount of condensate in the individual states is different in some cases and so are the fluctuations.
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