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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| Дата: | 2001 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2001
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/129021 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
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irk-123456789-1290212018-01-16T03:02:48Z Real-space condensation in a dilute Bose gas at low temperature Kulik, I.O. Статьи, посвященные столетию со дня рождения Л. В. Шубникова 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. 2001 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/129021 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Статьи, посвященные столетию со дня рождения Л. В. Шубникова Статьи, посвященные столетию со дня рождения Л. В. Шубникова |
| spellingShingle |
Статьи, посвященные столетию со дня рождения Л. В. Шубникова Статьи, посвященные столетию со дня рождения Л. В. Шубникова Kulik, I.O. Real-space condensation in a dilute Bose gas at low temperature Физика низких температур |
| 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. |
| format |
Article |
| author |
Kulik, I.O. |
| author_facet |
Kulik, I.O. |
| author_sort |
Kulik, I.O. |
| title |
Real-space condensation in a dilute Bose gas at low temperature |
| 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 |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2001 |
| topic_facet |
Статьи, посвященные столетию со дня рождения Л. В. Шубникова |
| url |
http://dspace.nbuv.gov.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. |
| series |
Физика низких температур |
| work_keys_str_mv |
AT kulikio realspacecondensationinadilutebosegasatlowtemperature |
| first_indexed |
2023-10-18T20:56:42Z |
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2023-10-18T20:56:42Z |
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1796151517762289664 |