Self-similarity of the statistics in the critical region of Bose condensation of ideal gas in mesoscopic traps: Canonical and grand canonical ensembles

For an ideal Bose gas confined in a trap of arbitrary dimension and shape, the features of probabilistic distributions of the number of particles at the ground and all excited levels are studied within canonical and grand canonical ensembles. It is shown that in the critical range of system paramete...

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Bibliographic Details
Published in:	Bulletin of the Lebedev Physics Institute Vol. 43; no. 4; pp. 143 - 147
Main Author:	Tarasov, S. V.
Format:	Journal Article
Language:	English
Published:	New York Allerton Press 01-04-2016
Subjects:	Physics Physics and Astronomy Thermodynamic Limit Canonical Ensemble Excited Level LEBEDEV Physic Institute Grand Canonical Ensemble
Online Access:	Get full text
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Summary:	For an ideal Bose gas confined in a trap of arbitrary dimension and shape, the features of probabilistic distributions of the number of particles at the ground and all excited levels are studied within canonical and grand canonical ensembles. It is shown that in the critical range of system parameters the statistics is self-similar, and its characteristic scales (mathematical expectation, variance, etc.) are independent of an ensemble used in the description. At the same time, the selfsimilar distributions themselves differ for different ensembles.
ISSN:	1068-3356 1934-838X
DOI:	10.3103/S1068335616040060