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 re...
Gespeichert in:
| Veröffentlicht in: | Физика низких температур |
|---|---|
| Datum: | 2006 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
|
| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/120140 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862540342128017408 |
|---|---|
| author | Adamenko, I.M. Nemchenko, K.E. Tanatarov, I.V. |
| author_facet | Adamenko, I.M. Nemchenko, K.E. Tanatarov, I.V. |
| 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. |
| collection | DSpace DC |
| container_title | 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.
|
| first_indexed | 2025-11-24T15:47:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-120140 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-11-24T15:47:33Z |
| publishDate | 2006 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Adamenko, I.M. Nemchenko, K.E. Tanatarov, I.V. 2017-06-11T07:26:00Z 2017-06-11T07:26:00Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/120140 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. We would like to thank A.F.G. Wyatt for many
 helpful discussions. We also express our gratitude to
 EPSRC of the UK (grant EP/C 523199/1), and to
 GFFI of Ukraine (grant N02.07/000372) for support
 for this work. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Квантовые жидкости и квантовые кpисталл Normal transmission of phonons with anomalous dispersion through the interface of two continuous media Article published earlier |
| spellingShingle | 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 |
| title | 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_short | 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 |
| topic | Квантовые жидкости и квантовые кpисталл |
| topic_facet | Квантовые жидкости и квантовые кpисталл |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/120140 |
| work_keys_str_mv | AT adamenkoim normaltransmissionofphononswithanomalousdispersionthroughtheinterfaceoftwocontinuousmedia AT nemchenkoke normaltransmissionofphononswithanomalousdispersionthroughtheinterfaceoftwocontinuousmedia AT tanataroviv normaltransmissionofphononswithanomalousdispersionthroughtheinterfaceoftwocontinuousmedia |