Transition temperature of the homogeneous and dilute Bose gas in D-dimensions
| dc.creator | Kim, Sang-Hoon | |
| dc.date | 2007-07-10 | |
| dc.date | 2007-12-11 | |
| dc.date.accessioned | 2026-07-07T08:48:03Z | |
| dc.date.available | 2026-07-07T08:48:03Z | |
| dc.description | The phase transition temperature of the homogeneous and dilute Bose gas in D-dimensions ($2 \le D \le 3$) is calculated by a mean field-based statistical method. The shift of the phase transition temperature is written up to the leading order as $ΔT_c/T_c^0 = c \gam^{\al}$, where $\gam=n^{1/3}a$. We derived Huang's result of the phase transition temperature in the generalized dimensions. We show that $ c(D)$ is positive and $\al(D)=2(D/2-1)^2$ in the short-wavelength range. The origin of the difference between $\al=1/2$ and $\al=1$ at D=3 is discussed. The $T_c$ at D=2 is calculated in the same scheme. The result is compared with Fisher and Hohenberg's KT temperature. | |
| dc.description | 4 pages, 2 figure | |
| dc.identifier | https://arxiv.org/abs/0707.1538 | |
| dc.identifier | http://arxiv.org/abs/0707.1538 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143811 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Transition temperature of the homogeneous and dilute Bose gas in D-dimensions | |
| dc.type | text |