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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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Main Authors:	Gumen, L.N., Arriaga, J., Krokhin, A.A.
Format:	Article
Language:	English
Published:	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2011
Series:	Физика низких температур
Subjects:	Современные проблемы низкотемпературной физики конденсированного состояния
Online Access:	http://dspace.nbuv.gov.ua/handle/123456789/118797
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id	irk-123456789-118797
record_format	dspace
spelling	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
work_keys_str_mv	AT gumenln metafluidwithanisotropicdynamicmass AT arriagaj metafluidwithanisotropicdynamicmass AT krokhinaa metafluidwithanisotropicdynamicmass
first_indexed	2023-10-18T20:33:01Z
last_indexed	2023-10-18T20:33:01Z
_version_	1796150492571631616

Metafluid with anisotropic dynamic mass

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