Bose-Einstein condensation of interacting gases
| dc.creator | Holzmann, M. | |
| dc.creator | Gruter, P. | |
| dc.creator | Laloe, F. | |
| dc.date | 1998-09-25 | |
| dc.date.accessioned | 2026-07-07T03:11:35Z | |
| dc.date.available | 2026-07-07T03:11:35Z | |
| dc.description | We study the occurrence of a Bose-Einstein transition in a dilute gas with repulsive interactions, starting from temperatures above the transition temperature. The formalism, based on the use of Ursell operators, allows us to evaluate the one-particle density operator with more flexibility than in mean-field theories, since it does not necessarily coincide with that of an ideal gas with adjustable parameters (chemical potential, etc.). In a first step, a simple approximation is used (Ursell-Dyson approximation), which allow us to recover results which are similar to those of the usual mean-field theories. In a second step, a more precise treatment of the correlations and velocity dependence of the populations in the system is elaborated. This introduces new physical effects, such as a marked change of the velocity profile just above the transition: low velocities are more populated than in an ideal gas. A consequence of this distortion is an increase of the critical temperature (at constant density) of the Bose gas, in agreement with those of recent path integral Monte-Carlo calculations for hard spheres. | |
| dc.description | 47 pages, 16 figures, latex file with eps figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9809356 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9809356 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28627 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Bose-Einstein condensation of interacting gases | |
| dc.type | text |