Normal transmission of phonons with anomalous dispersion through the interface of two continuous media
In this work the problem is solved of normal transmission of quasiparticles through the interface of two continuous media, one of which is quantum fluid. The quantum fluid is described as a continuous medium with correlations. Within the framework of this approach the dispersion relation of the q...
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| Дата: | 2006 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Назва видання: | Физика низких температур |
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/120140 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Normal transmission of phonons with anomalous dispersion through the interface of two continuous media / I.M. Adamenko, K.E. Nemchenko, I.V. Tanatarov // Физика низких температур. — 2006. — Т. 32, № 3. — С. 255-268. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1201402017-06-12T03:03:52Z Normal transmission of phonons with anomalous dispersion through the interface of two continuous media Adamenko, I.M. Nemchenko, K.E. Tanatarov, I.V. Квантовые жидкости и квантовые кpисталл In this work the problem is solved of normal transmission of quasiparticles through the interface of two continuous media, one of which is quantum fluid. The quantum fluid is described as a continuous medium with correlations. Within the framework of this approach the dispersion relation of the quantum fluid Ω(k) can be arbitrary. The integral equation describing it in a half-space is solved by the Wiener–Hopf method, and its general solution is obtained. This approach is applied to the dispersion relation of the Bose–Einstein condensate. It is shown that the solutions of equations of quantum fluid in a half-space are traveling waves deformed near the border by specific surface standing waves. By means of boundary conditions the general solution in the whole space is obtained. Expressions for transmission and reflection factors of waves in both directions are derived, depending on their frequency. The results are important for describing the creation of helium II phonons on the boundary with a solid, and are of interest for classical acoustics. 2006 Article Normal transmission of phonons with anomalous dispersion through the interface of two continuous media / I.M. Adamenko, K.E. Nemchenko, I.V. Tanatarov // Физика низких температур. — 2006. — Т. 32, № 3. — С. 255-268. — Бібліогр.: 22 назв. — англ. 0132-6414 PACS: 67.40.Bz, 67.40.Db, 67.40.Pm http://dspace.nbuv.gov.ua/handle/123456789/120140 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 кpисталл Квантовые жидкости и квантовые кpисталл |
| spellingShingle |
Квантовые жидкости и квантовые кpисталл Квантовые жидкости и квантовые кpисталл Adamenko, I.M. Nemchenko, K.E. Tanatarov, I.V. Normal transmission of phonons with anomalous dispersion through the interface of two continuous media Физика низких температур |
| description |
In this work the problem is solved of normal transmission of quasiparticles through the interface
of two continuous media, one of which is quantum fluid. The quantum fluid is described as a
continuous medium with correlations. Within the framework of this approach the dispersion relation
of the quantum fluid Ω(k) can be arbitrary. The integral equation describing it in a half-space
is solved by the Wiener–Hopf method, and its general solution is obtained. This approach is applied
to the dispersion relation of the Bose–Einstein condensate. It is shown that the solutions of
equations of quantum fluid in a half-space are traveling waves deformed near the border by specific
surface standing waves. By means of boundary conditions the general solution in the whole
space is obtained. Expressions for transmission and reflection factors of waves in both directions
are derived, depending on their frequency. The results are important for describing the creation of
helium II phonons on the boundary with a solid, and are of interest for classical acoustics. |
| format |
Article |
| author |
Adamenko, I.M. Nemchenko, K.E. Tanatarov, I.V. |
| author_facet |
Adamenko, I.M. Nemchenko, K.E. Tanatarov, I.V. |
| author_sort |
Adamenko, I.M. |
| title |
Normal transmission of phonons with anomalous dispersion through the interface of two continuous media |
| title_short |
Normal transmission of phonons with anomalous dispersion through the interface of two continuous media |
| title_full |
Normal transmission of phonons with anomalous dispersion through the interface of two continuous media |
| title_fullStr |
Normal transmission of phonons with anomalous dispersion through the interface of two continuous media |
| title_full_unstemmed |
Normal transmission of phonons with anomalous dispersion through the interface of two continuous media |
| title_sort |
normal transmission of phonons with anomalous dispersion through the interface of two continuous media |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2006 |
| topic_facet |
Квантовые жидкости и квантовые кpисталл |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/120140 |
| citation_txt |
Normal transmission of phonons with anomalous dispersion through the interface of two continuous media / I.M. Adamenko, K.E. Nemchenko, I.V. Tanatarov // Физика низких температур. — 2006. — Т. 32, № 3. — С. 255-268. — Бібліогр.: 22 назв. — англ. |
| series |
Физика низких температур |
| work_keys_str_mv |
AT adamenkoim normaltransmissionofphononswithanomalousdispersionthroughtheinterfaceoftwocontinuousmedia AT nemchenkoke normaltransmissionofphononswithanomalousdispersionthroughtheinterfaceoftwocontinuousmedia AT tanataroviv normaltransmissionofphononswithanomalousdispersionthroughtheinterfaceoftwocontinuousmedia |
| first_indexed |
2023-10-18T20:36:19Z |
| last_indexed |
2023-10-18T20:36:19Z |
| _version_ |
1796150632874246144 |