Metafluid with anisotropic dynamic mass
We show that a fluid filling the space between metallic cylinders arranged in a two-dimensional lattice exhibits anisotropic dynamic mass for sound waves propagating through the lattice, if its unit cell is anisotropic. Using the plane-waves expansion method we derive (in the long wavelength limit)...
Saved in:
| Published in: | Физика низких температур |
|---|---|
| Date: | 2011 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2011
|
| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/118797 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Metafluid with anisotropic dynamic mass / L.N. Gumen, J. Arriaga, A.A. Krokhin // Физика низких температур. — 2011. — Т. 37, № 11. — С. 1221–1224. — Бібліогр.: 29 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862614760519892992 |
|---|---|
| author | Gumen, L.N. Arriaga, J. Krokhin, A.A. |
| author_facet | Gumen, L.N. Arriaga, J. Krokhin, A.A. |
| citation_txt | Metafluid with anisotropic dynamic mass / L.N. Gumen, J. Arriaga, A.A. Krokhin // Физика низких температур. — 2011. — Т. 37, № 11. — С. 1221–1224. — Бібліогр.: 29 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | We show that a fluid filling the space between metallic cylinders arranged in a two-dimensional lattice exhibits anisotropic dynamic mass for sound waves propagating through the lattice, if its unit cell is anisotropic. Using the plane-waves expansion method we derive (in the long wavelength limit) a formula for the effective mass tensor of the metafluid. The proposed formula is very general — it is valid for arbitrary Bravais lattices and arbitrary filling fractions of the cylinders. We apply our method to a periodic structure with very high anisotropy, when other known methods fail. In particular, we calculate the effective mass tensor for sound waves in air with embedded lattice of aluminum cylinders having rectangular cross sections, and obtain excellent agreement with experiment. The proposed method of calculation may find numerous applications for tailoring of metafluids with prescribed anisotropy.
|
| first_indexed | 2025-11-29T10:35:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-118797 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-11-29T10:35:59Z |
| publishDate | 2011 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Gumen, L.N. Arriaga, J. Krokhin, A.A. 2017-05-31T09:11:35Z 2017-05-31T09:11:35Z 2011 Metafluid with anisotropic dynamic mass / L.N. Gumen, J. Arriaga, A.A. Krokhin // Физика низких температур. — 2011. — Т. 37, № 11. — С. 1221–1224. — Бібліогр.: 29 назв. — англ. 0132-6414 PACS: 62.65.+k, 43.20.+g https://nasplib.isofts.kiev.ua/handle/123456789/118797 We show that a fluid filling the space between metallic cylinders arranged in a two-dimensional lattice exhibits anisotropic dynamic mass for sound waves propagating through the lattice, if its unit cell is anisotropic. Using the plane-waves expansion method we derive (in the long wavelength limit) a formula for the effective mass tensor of the metafluid. The proposed formula is very general — it is valid for arbitrary Bravais lattices and arbitrary filling fractions of the cylinders. We apply our method to a periodic structure with very high anisotropy, when other known methods fail. In particular, we calculate the effective mass tensor for sound waves in air with embedded lattice of aluminum cylinders having rectangular cross sections, and obtain excellent agreement with experiment. The proposed method of calculation may find numerous applications for tailoring of metafluids with prescribed anisotropy. This work is supported by the US Department of Energy grant # DE-FG02-06ER46312. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Современные проблемы низкотемпературной физики конденсированного состояния Metafluid with anisotropic dynamic mass Article published earlier |
| spellingShingle | Metafluid with anisotropic dynamic mass Gumen, L.N. Arriaga, J. Krokhin, A.A. Современные проблемы низкотемпературной физики конденсированного состояния |
| title | Metafluid with anisotropic dynamic mass |
| title_full | Metafluid with anisotropic dynamic mass |
| title_fullStr | Metafluid with anisotropic dynamic mass |
| title_full_unstemmed | Metafluid with anisotropic dynamic mass |
| title_short | Metafluid with anisotropic dynamic mass |
| title_sort | metafluid with anisotropic dynamic mass |
| topic | Современные проблемы низкотемпературной физики конденсированного состояния |
| topic_facet | Современные проблемы низкотемпературной физики конденсированного состояния |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/118797 |
| work_keys_str_mv | AT gumenln metafluidwithanisotropicdynamicmass AT arriagaj metafluidwithanisotropicdynamicmass AT krokhinaa metafluidwithanisotropicdynamicmass |