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Four and three-phonon scattering in isotropic superfluid helium

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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Main Authors: Adamenko, I.N., Kitsenko, Yu.A., Nemchenko, K.E., Wyatt, A.F.G.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2009
Series:Физика низких температур
Subjects:
Квантовые жидкости и квантовые кpисталлы
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/116992
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spelling irk-123456789-1169922017-05-19T03:02:42Z 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 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. 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/116992 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
Adamenko, I.N.
Kitsenko, Yu.A.
Nemchenko, K.E.
Wyatt, A.F.G.
Four and three-phonon scattering in isotropic superfluid helium
Физика низких температур
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.
format Article
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.
author_sort Adamenko, I.N.
title Four and three-phonon scattering in isotropic superfluid helium
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
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2009
topic_facet Квантовые жидкости и квантовые кpисталлы
url http://dspace.nbuv.gov.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.
series Физика низких температур
work_keys_str_mv AT adamenkoin fourandthreephononscatteringinisotropicsuperfluidhelium
AT kitsenkoyua fourandthreephononscatteringinisotropicsuperfluidhelium
AT nemchenkoke fourandthreephononscatteringinisotropicsuperfluidhelium
AT wyattafg fourandthreephononscatteringinisotropicsuperfluidhelium
first_indexed 2023-10-18T20:28:46Z
last_indexed 2023-10-18T20:28:46Z
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