DOI: https://doi.org/10.30970/jps.11.108
BOSE–EINSTEIN CONDENSATION IN A RANDOM MEDIA
V. A. Zagrebnov
Université de la Méditerranée and Centre de Physique
Théorique,
Luminy Case 907, 13288 Marseille, Cedex 09,
France
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Journal of Physical Studies 11(1), 108–121 (2007)
DOI: https://doi.org/10.30970/jps.11.108 BOSE–EINSTEIN CONDENSATION IN A RANDOM MEDIAV. A. Zagrebnov
Université de la Méditerranée and Centre de Physique
Théorique, |
|
We study the existence of condensation in a one-dimensional model of the perfect boson gas imbedded in the random Poisson potential of singular point impurities. This model manifests a type I Bose-Einstein condensation localized in a single "largest" interval of a logarithmic size (the Kac-Luttinger conjecture). It is shown that the mathematical mechanism of the Bose-Einstein condensation in this random model is identical with that in a one-dimensional nonrandom hierarchical model of scaled intervals.
PACS number(s): 05.30.Jp, 03.75.Fi, 67.40.-w