Condensation in ideal Fermi gases
| dc.creator | Anghel, Dragoş-Victor | |
| dc.date | 2003-10-10 | |
| dc.date | 2003-10-22 | |
| dc.date.accessioned | 2026-07-07T02:54:08Z | |
| dc.date.available | 2026-07-07T02:54:08Z | |
| dc.description | I investigate the possibility of condensation in ideal Fermi systems of general single particle density of states. For this I calculate the probability $w_{N_0}$ of having exactly $N_0$ particles in the condensate and analyze its maxima. The existence of such maxima at macroscopic values of $N_0$ indicates a condensate. An interesting situation occurs for example in 1D systems, where $w_{N_0}$ may have two maxima. One is at $N_0=0$ and another one may exist at finite $N_0$ (for temperatures bellow a certain condensation temperature). This suggests the existence of a first order phase transition. % The calculation of $w_{N_0}$ allows for the exploration of ensemble equivalence of Fermi systems from a new perspective. | |
| dc.description | 8 pages with 1 figure. Will appear in J. Phys. A: Math. Gen. Changes (minor): I updated Ref. [9] and its citation in the text. I introduced citation for figure 1 in the text | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0310248 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0310248 | |
| dc.identifier | J. Phys. A: Math. Gen. 36, L577-L583 (2003) | |
| dc.identifier | doi:10.1088/0305-4470/36/46/L01 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22424 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Condensation in ideal Fermi gases | |
| dc.type | text |