Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He
The diffusion coefficient D and the thermal diffusion ratio kT for dilute ⁴He in liquid ³He are calculated from Fermi liquid theory. The collision integral assumes a scattering amplitude a³⁴ expanded in scalar combinations of the quasiparticle momenta. As T→0, D varies as 1/T and kT/c, where c is th...
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| Дата: | 1997 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
1997
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| Назва видання: | Физика низких температур |
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/175465 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He / Н.Н. Hjort, Т.G. Culman, D.О. Edwards, and Jizhong Не // Физика низких температур. — 1997. — Т. 23, № 5-6. — С. 564-573. — Бібліогр.: 26 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-175465 |
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irk-123456789-1754652021-02-02T01:28:26Z Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He Hjort, H.H. Culman, T.G. Edwards, D.O. Jizhong He Квантовые жидкости и квантовые кpисталлы The diffusion coefficient D and the thermal diffusion ratio kT for dilute ⁴He in liquid ³He are calculated from Fermi liquid theory. The collision integral assumes a scattering amplitude a³⁴ expanded in scalar combinations of the quasiparticle momenta. As T→0, D varies as 1/T and kT/c, where c is the concentration, approaches a constant. As shown previously, the limits for DT and kT/c are determined by thermodynamic properties, the ⁴He effective mass and partial volume, and properties of pure ³He. We have decreased kT/c by a few percent, by including the effect of ∇T on the ³He distribution function. The temperature dependence of DT and kT/c is linear and related to the coefficients in the expansion of a³⁴. Two coefficients can be found from thermodynamics. A conjecture about the remainder suggests that DT may have a maximum between 0 and 0.5 K. 1997 Article Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He / Н.Н. Hjort, Т.G. Culman, D.О. Edwards, and Jizhong Не // Физика низких температур. — 1997. — Т. 23, № 5-6. — С. 564-573. — Бібліогр.: 26 назв. — англ. 0132-6414 PACS: 67.60.Dm, S1.10.+y, 67.55.Lf, 67.55.Нс http://dspace.nbuv.gov.ua/handle/123456789/175465 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 |
Квантовые жидкости и квантовые кpисталлы Квантовые жидкости и квантовые кpисталлы |
| spellingShingle |
Квантовые жидкости и квантовые кpисталлы Квантовые жидкости и квантовые кpисталлы Hjort, H.H. Culman, T.G. Edwards, D.O. Jizhong He Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He Физика низких температур |
| description |
The diffusion coefficient D and the thermal diffusion ratio kT for dilute ⁴He in liquid ³He are calculated from Fermi liquid theory. The collision integral assumes a scattering amplitude a³⁴ expanded in scalar combinations of the quasiparticle momenta. As T→0, D varies as 1/T and kT/c, where c is the concentration, approaches a constant. As shown previously, the limits for DT and kT/c are determined by thermodynamic properties, the ⁴He effective mass and partial volume, and properties of pure ³He. We have decreased kT/c by a few percent, by including the effect of ∇T on the ³He distribution function. The temperature dependence of DT and kT/c is linear and related to the coefficients in the expansion of a³⁴. Two coefficients can be found from thermodynamics. A conjecture about the remainder suggests that DT may have a maximum between 0 and 0.5 K. |
| format |
Article |
| author |
Hjort, H.H. Culman, T.G. Edwards, D.O. Jizhong He |
| author_facet |
Hjort, H.H. Culman, T.G. Edwards, D.O. Jizhong He |
| author_sort |
Hjort, H.H. |
| title |
Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He |
| title_short |
Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He |
| title_full |
Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He |
| title_fullStr |
Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He |
| title_full_unstemmed |
Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He |
| title_sort |
finite temperature effects in the fermi liquid theory of the diffusion of ⁴he in ³he |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
1997 |
| topic_facet |
Квантовые жидкости и квантовые кpисталлы |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/175465 |
| citation_txt |
Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He / Н.Н. Hjort, Т.G. Culman, D.О. Edwards, and Jizhong Не // Физика низких температур. — 1997. — Т. 23, № 5-6. — С. 564-573. — Бібліогр.: 26 назв. — англ. |
| series |
Физика низких температур |
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2023-10-18T22:38:56Z |
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