Four and three-phonon scattering in isotropic superfluid helium
We analyse the important role of four-phonon processes (4pp) in isotropic phonon systems of superfluid helium. The matrix elements and the rate of four-phonon processes are calculated. Special consideration is given to the 4pp in the momentum range where three-phonon processes are allowed. In this m...
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| Published in: | Физика низких температур |
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| Date: | 2009 |
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| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/116992 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Four and three-phonon scattering in isotropic superfluid helium / I.N. Adamenko, Yu.A. Kitsenko, K.E. Nemchenko, A.F.G. Wyatt // Физика низких температур. — 2009. — Т. 35, № 3. — С. 265-277. — Бібліогр.: 26 назв. — англ. |
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Adamenko, I.N. Kitsenko, Yu.A. Nemchenko, K.E. Wyatt, A.F.G. 2017-05-18T17:37:47Z 2017-05-18T17:37:47Z 2009 Four and three-phonon scattering in isotropic superfluid helium / I.N. Adamenko, Yu.A. Kitsenko, K.E. Nemchenko, A.F.G. Wyatt // Физика низких температур. — 2009. — Т. 35, № 3. — С. 265-277. — Бібліогр.: 26 назв. — англ. PACS: 47.37.+q https://nasplib.isofts.kiev.ua/handle/123456789/116992 We analyse the important role of four-phonon processes (4pp) in isotropic phonon systems of superfluid helium. The matrix elements and the rate of four-phonon processes are calculated. Special consideration is given to the 4pp in the momentum range where three-phonon processes are allowed. In this momentum range, we show that the 4pp scattering rate, at small angles, is equal to the scattering rate due to three-phonon processes. Then we show that the coefficient of first viscosity of superfluid helium is caused by two processes, the first is due to the transverse relaxation caused by many three-phonon processes and the second is due to four-phonon processes. The relaxation time that governs the viscosity is obtained from the sum of the rates from these two processes. The temperature dependence of the attenuation coefficient of a pulse of high-energy phonons in He II, due to scattering with thermal phonons, is also calculated. The theoretical results are compared with experimental data and found to be in good agreement. We are grateful to the EPSRC for supporting this work through the grant EP/F 019157/1. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Квантовые жидкости и квантовые кpисталлы Four and three-phonon scattering in isotropic superfluid helium Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Four and three-phonon scattering in isotropic superfluid helium |
| spellingShingle |
Four and three-phonon scattering in isotropic superfluid helium Adamenko, I.N. Kitsenko, Yu.A. Nemchenko, K.E. Wyatt, A.F.G. Квантовые жидкости и квантовые кpисталлы |
| title_short |
Four and three-phonon scattering in isotropic superfluid helium |
| title_full |
Four and three-phonon scattering in isotropic superfluid helium |
| title_fullStr |
Four and three-phonon scattering in isotropic superfluid helium |
| title_full_unstemmed |
Four and three-phonon scattering in isotropic superfluid helium |
| title_sort |
four and three-phonon scattering in isotropic superfluid helium |
| author |
Adamenko, I.N. Kitsenko, Yu.A. Nemchenko, K.E. Wyatt, A.F.G. |
| author_facet |
Adamenko, I.N. Kitsenko, Yu.A. Nemchenko, K.E. Wyatt, A.F.G. |
| topic |
Квантовые жидкости и квантовые кpисталлы |
| topic_facet |
Квантовые жидкости и квантовые кpисталлы |
| publishDate |
2009 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
We analyse the important role of four-phonon processes (4pp) in isotropic phonon systems of superfluid helium. The matrix elements and the rate of four-phonon processes are calculated. Special consideration is given to the 4pp in the momentum range where three-phonon processes are allowed. In this momentum range, we show that the 4pp scattering rate, at small angles, is equal to the scattering rate due to three-phonon processes. Then we show that the coefficient of first viscosity of superfluid helium is caused by two processes, the first is due to the transverse relaxation caused by many three-phonon processes and the second is due to four-phonon processes. The relaxation time that governs the viscosity is obtained from the sum of the rates from these two processes. The temperature dependence of the attenuation coefficient of a pulse of high-energy phonons in He II, due to scattering with thermal phonons, is also calculated. The theoretical results are compared with experimental data and found to be in good agreement.
|
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/116992 |
| citation_txt |
Four and three-phonon scattering in isotropic superfluid helium / I.N. Adamenko, Yu.A. Kitsenko, K.E. Nemchenko, A.F.G. Wyatt // Физика низких температур. — 2009. — Т. 35, № 3. — С. 265-277. — Бібліогр.: 26 назв. — англ. |
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| first_indexed |
2025-12-01T16:36:24Z |
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2025-12-01T16:36:24Z |
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