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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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 1997 |
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| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
1997
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| Zitieren: | 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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Hjort, H.H. Culman, T.G. Edwards, D.O. Jizhong He 2021-02-01T14:48:06Z 2021-02-01T14:48:06Z 1997 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 https://nasplib.isofts.kiev.ua/handle/123456789/175465 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. This work was supported bу grants from the US National Science Foundation, DMR 9220400 and DMR 9630930. We are grateful to Prof. W.F. Saam, Dr. S. Mukherjee, Dr. М.S. Pettersen, and Dr. У. Bazaliy for useful discussions and assistance. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Квантовые жидкости и квантовые кpисталлы Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Finite temperature effects in the Fermi liquid theory of the diffusion of ⁴He in ³He |
| spellingShingle |
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 |
| 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 |
| 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 |
| topic |
Квантовые жидкости и квантовые кpисталлы |
| topic_facet |
Квантовые жидкости и квантовые кpисталлы |
| publishDate |
1997 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| 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.
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| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/175465 |
| fulltext |
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| 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. |
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2025-11-24T11:46:56Z |
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