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)...
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| Дата: | 2011 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2011
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/118797 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1187972017-06-01T03:03:42Z Metafluid with anisotropic dynamic mass Gumen, L.N. Arriaga, J. Krokhin, A.A. Современные проблемы низкотемпературной физики конденсированного состояния 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. 2011 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/118797 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 |
Современные проблемы низкотемпературной физики конденсированного состояния Современные проблемы низкотемпературной физики конденсированного состояния |
| spellingShingle |
Современные проблемы низкотемпературной физики конденсированного состояния Современные проблемы низкотемпературной физики конденсированного состояния Gumen, L.N. Arriaga, J. Krokhin, A.A. Metafluid with anisotropic dynamic mass 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. |
| format |
Article |
| author |
Gumen, L.N. Arriaga, J. Krokhin, A.A. |
| author_facet |
Gumen, L.N. Arriaga, J. Krokhin, A.A. |
| author_sort |
Gumen, L.N. |
| title |
Metafluid with anisotropic dynamic mass |
| title_short |
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_sort |
metafluid with anisotropic dynamic mass |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2011 |
| topic_facet |
Современные проблемы низкотемпературной физики конденсированного состояния |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/118797 |
| 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. |
| series |
Физика низких температур |
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AT gumenln metafluidwithanisotropicdynamicmass AT arriagaj metafluidwithanisotropicdynamicmass AT krokhinaa metafluidwithanisotropicdynamicmass |
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2023-10-18T20:33:01Z |
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2023-10-18T20:33:01Z |
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1796150492571631616 |