Real-space condensation in a dilute Bose gas at low temperature
We show with a direct numerical analysis that a dilute Bose gas in an external potential - which is choosen for simplicity as a radial parabolic well - undergoes at certain temperature Tc a phase transition to a state supporting macroscopic fraction of particles at the origin of the phase space (r=0...
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| Published in: | Физика низких температур |
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| Date: | 2001 |
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| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2001
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/129021 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Real-space condensation in a dilute Bose gas at low temperature / I.O. Kulik // Физика низких температур. — 2001. — Т. 27, № 9-10. — С. 1179-1182. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Kulik, I.O. 2018-01-15T13:15:33Z 2018-01-15T13:15:33Z 2001 Real-space condensation in a dilute Bose gas at low temperature / I.O. Kulik // Физика низких температур. — 2001. — Т. 27, № 9-10. — С. 1179-1182. — Бібліогр.: 17 назв. — англ. 0132-6414 PACS: 64.60.-i https://nasplib.isofts.kiev.ua/handle/123456789/129021 We show with a direct numerical analysis that a dilute Bose gas in an external potential - which is choosen for simplicity as a radial parabolic well - undergoes at certain temperature Tc a phase transition to a state supporting macroscopic fraction of particles at the origin of the phase space (r=0,p=0). Quantization of particle motion in a well wipes out sharp transition but supports a distribution of radial particle density ρ(r) peacked at r=0 (a real-space condensate) as well as the phase-space Wigner distribution density W(r, p) peaked at r=0 and p=0 below the crossover temperature Tc* of order of Tc. Fixed-particle-number canonical ensemble which is a combination of the fixed-μ condensate part and the fixed-m excitation part is suggested to resolve the difficulty of large fluctuation of the particle number (δN~N) in the Bose-Einstein condensation problem treated within the orthodox grand canonical ensemble formalism. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Статьи, посвященные столетию со дня рождения Л. В. Шубникова Real-space condensation in a dilute Bose gas at low temperature Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Real-space condensation in a dilute Bose gas at low temperature |
| spellingShingle |
Real-space condensation in a dilute Bose gas at low temperature Kulik, I.O. Статьи, посвященные столетию со дня рождения Л. В. Шубникова |
| title_short |
Real-space condensation in a dilute Bose gas at low temperature |
| title_full |
Real-space condensation in a dilute Bose gas at low temperature |
| title_fullStr |
Real-space condensation in a dilute Bose gas at low temperature |
| title_full_unstemmed |
Real-space condensation in a dilute Bose gas at low temperature |
| title_sort |
real-space condensation in a dilute bose gas at low temperature |
| author |
Kulik, I.O. |
| author_facet |
Kulik, I.O. |
| topic |
Статьи, посвященные столетию со дня рождения Л. В. Шубникова |
| topic_facet |
Статьи, посвященные столетию со дня рождения Л. В. Шубникова |
| publishDate |
2001 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
We show with a direct numerical analysis that a dilute Bose gas in an external potential - which is choosen for simplicity as a radial parabolic well - undergoes at certain temperature Tc a phase transition to a state supporting macroscopic fraction of particles at the origin of the phase space (r=0,p=0). Quantization of particle motion in a well wipes out sharp transition but supports a distribution of radial particle density ρ(r) peacked at r=0 (a real-space condensate) as well as the phase-space Wigner distribution density W(r, p) peaked at r=0 and p=0 below the crossover temperature Tc* of order of Tc. Fixed-particle-number canonical ensemble which is a combination of the fixed-μ condensate part and the fixed-m excitation part is suggested to resolve the difficulty of large fluctuation of the particle number (δN~N) in the Bose-Einstein condensation problem treated within the orthodox grand canonical ensemble formalism.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/129021 |
| citation_txt |
Real-space condensation in a dilute Bose gas at low temperature / I.O. Kulik // Физика низких температур. — 2001. — Т. 27, № 9-10. — С. 1179-1182. — Бібліогр.: 17 назв. — англ. |
| work_keys_str_mv |
AT kulikio realspacecondensationinadilutebosegasatlowtemperature |
| first_indexed |
2025-12-01T08:13:03Z |
| last_indexed |
2025-12-01T08:13:03Z |
| _version_ |
1850859688818638848 |