Nonlinear localized modes in complex chains and carbon nanotubes

We discuss the existence of spatially localized nonlinear modes in carbon nanotubes with different
 chiralities, and demonstrate that in nanotubes with the chirality index (m, 0) three types of localized modes
 can exist, namely longitudinal, radial, and twisting nonlinear localized...

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Published in:Физика низких температур
Date:2008
Main Authors: Savin, A., Kivshar, Yu.S.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/117341
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Nonlinear localized modes in complex chains and carbon
 nanotubes / A. Savin, Yu.S. Kivshar // Физика низких температур. — 2008. — Т. 34, № 7. — С. 695–700. — Бібліогр.: 17 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Savin, A.
Kivshar, Yu.S.
author_facet Savin, A.
Kivshar, Yu.S.
citation_txt Nonlinear localized modes in complex chains and carbon
 nanotubes / A. Savin, Yu.S. Kivshar // Физика низких температур. — 2008. — Т. 34, № 7. — С. 695–700. — Бібліогр.: 17 назв. — англ.
collection DSpace DC
container_title Физика низких температур
description We discuss the existence of spatially localized nonlinear modes in carbon nanotubes with different
 chiralities, and demonstrate that in nanotubes with the chirality index (m, 0) three types of localized modes
 can exist, namely longitudinal, radial, and twisting nonlinear localized modes. We demonstrate that only the
 nonlinear modes associated with the twisting oscillations are nonradiating modes, and they exist in the frequency
 gaps of the linear spectrum. Geometry of carbon nanotubes with the index (m, m) allows only the existence
 of broad radial breathers in a narrow spectral range.
first_indexed 2025-12-07T17:03:46Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 0132-6414
language English
last_indexed 2025-12-07T17:03:46Z
publishDate 2008
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
record_format dspace
spelling Savin, A.
Kivshar, Yu.S.
2017-05-22T14:43:56Z
2017-05-22T14:43:56Z
2008
Nonlinear localized modes in complex chains and carbon
 nanotubes / A. Savin, Yu.S. Kivshar // Физика низких температур. — 2008. — Т. 34, № 7. — С. 695–700. — Бібліогр.: 17 назв. — англ.
0132-6414
PACS: 61.48.–c;71.20.Tx;71.45.Lr
https://nasplib.isofts.kiev.ua/handle/123456789/117341
We discuss the existence of spatially localized nonlinear modes in carbon nanotubes with different
 chiralities, and demonstrate that in nanotubes with the chirality index (m, 0) three types of localized modes
 can exist, namely longitudinal, radial, and twisting nonlinear localized modes. We demonstrate that only the
 nonlinear modes associated with the twisting oscillations are nonradiating modes, and they exist in the frequency
 gaps of the linear spectrum. Geometry of carbon nanotubes with the index (m, m) allows only the existence
 of broad radial breathers in a narrow spectral range.
This work was supported by the Australian Research
 Council. Alex Savin thanks the Nonlinear Physics Center
 of the Australian National University for a warm hospitality
 during his stay in Canberra.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
Низкоразмерные и неупорядоченные системы
Nonlinear localized modes in complex chains and carbon nanotubes
Article
published earlier
spellingShingle Nonlinear localized modes in complex chains and carbon nanotubes
Savin, A.
Kivshar, Yu.S.
Низкоразмерные и неупорядоченные системы
title Nonlinear localized modes in complex chains and carbon nanotubes
title_full Nonlinear localized modes in complex chains and carbon nanotubes
title_fullStr Nonlinear localized modes in complex chains and carbon nanotubes
title_full_unstemmed Nonlinear localized modes in complex chains and carbon nanotubes
title_short Nonlinear localized modes in complex chains and carbon nanotubes
title_sort nonlinear localized modes in complex chains and carbon nanotubes
topic Низкоразмерные и неупорядоченные системы
topic_facet Низкоразмерные и неупорядоченные системы
url https://nasplib.isofts.kiev.ua/handle/123456789/117341
work_keys_str_mv AT savina nonlinearlocalizedmodesincomplexchainsandcarbonnanotubes
AT kivsharyus nonlinearlocalizedmodesincomplexchainsandcarbonnanotubes