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Lookup NU author(s): Professor David Toms
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We discuss the phenomenon of Bose-Einstein condensation of an ideal nonrelativistic Bose gas in an arbitrarily shaped cavity. The influence of the finite extension of the cavity on all thermodynamical quantities, especially on the critical temperature of the system, is considered. We use two main methods that are shown to be equivalent. The first deals with the partition function as a sum over energy levels and uses a Mellin-Barnes integral representation to extract an asymptotic formula. The second method converts the sum over the energy levels to an integral with a suitable density 3of states factor obtained from spectral analysis. The application to some simple cavities is discussed. ©1999 The American Physical Society.
Author(s): Kirsten K, Toms DJ
Publication type: Article
Publication status: Published
Journal: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Year: 1999
Volume: 59
Issue: 1
Pages: 158-167
Print publication date: 01/01/1999
ISSN (print): 1063-651X
ISSN (electronic): 1095-3787
Publisher: American Physical Society
URL: http://dx.doi.org/10.1103/PhysRevE.59.158
DOI: 10.1103/PhysRevE.59.158
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