Isobars of an ideal Bose gas within the grand canonical ensemble
Journal Article
·
· Physical Review. A
- Department of Physics, Sogang University, Seoul 121-742 (Korea, Republic of)
- Department of Physics, Osaka University, Toyonaka, Osaka 560-0043 (Japan)
We investigate the isobar of an ideal Bose gas confined in a cubic box within the grand canonical ensemble for a large yet finite number of particles, N. After solving the equation of the spinodal curve, we derive precise formulas for the supercooling and the superheating temperatures that reveal an N{sup -1/3} or N{sup -1/4} power correction to the known Bose-Einstein condensation temperature in the thermodynamic limit. Numerical computations confirm the accuracy of our analytical approximation, and further show that the isobar zigzags on the temperature-volume plane if N{>=}14 393. In particular, for the Avogadro's number of particles, the volume expands discretely about 10{sup 5} times. Our results quantitatively agree with a previous study on the canonical ensemble within 0.1% error.
- OSTI ID:
- 22068540
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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