✦ LIBER ✦

Fluctuation indices for atomic systems with Bose-Einstein condensate

✍ Scribed by V.I. Yukalov

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 97 KB
Volume: 7
Category: Article
ISSN: 1612-2011
DOI: 10.1002/lapl.201010073

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✦ Synopsis

The notion of fluctuation indices, characterizing thermodynamic stability of statistical systems, is advanced. These indices are especially useful for investigating the stability of nonuniform and trapped atomic assemblies. The fluctuation indices are calculated for several systems with Bose-Einstein condensate. It is shown that: the ideal uniform Bosecondensed gas is thermodynamically unstable; trapped ideal gases are stable for the confining dimension larger than two; trapped gases, under the confining dimension two, are weakly unstable; harmonically trapped gas is stable only for the spatial dimension three; one-dimensional harmonically trapped gas is unstable; two-dimensional gas in a harmonic trap represents a marginal case, being weakly unstable; interacting nonuniform three-dimensional Bose-condensed gas is stable. There are no thermodynamically anomalous particle fluctuations in stable Bose-condensed systems.

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