Dimensional Crossover for the Bose -- Einstein Condensation of an Ideal Bose Gas
| dc.creator | Molina, M. I. | |
| dc.creator | Roessler, J. A | |
| dc.date | 1997-04-10 | |
| dc.date.accessioned | 2026-07-07T09:11:39Z | |
| dc.date.available | 2026-07-07T09:11:39Z | |
| dc.description | We study an ideal Bose gas of N atoms contained in a box formed by two identical planar and parallel surfaces S, enclosed by a mantle of height a perpendicular to them. Calling r0 the mean atomic distance, we assume S >> r0^2 while a may be comparable to r0. In the bidimensional limit (a/r0 << 1) we find a macroscopic number of atoms in the condensate at temperatures T ~1/log(N); therefore, condensation cannot be described in terms of intensive quantities; in addition, it occurs at temperatures not too low in comparison to the tridimensional case. When condensation is present we also find a macroscopic occupation of the low--lying excited states. In addition, the condensation phenomenon is sensitive to the shape of S. The former two effects are significant for a nanoscopic system. The tridimensional limit is slowly attained for increasing (a/r0), roughly at (a/r0) ~ 10^{2}-10^{3}. | |
| dc.description | 19 pages, including 4 figures and one table. Latex source file | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9704087 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9704087 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151755 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Dimensional Crossover for the Bose -- Einstein Condensation of an Ideal Bose Gas | |
| dc.type | text |