Interaction of discrete breathers with thermal fluctuations

Discrete breathers (DB) are time-periodic and spatially localized lattice excitations, which can be linearly
 stable or unstable with respect to either localized or extended perturbations. We analyze the interaction
 of DBs with a thermalized background of small amplitude lattice exc...

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Veröffentlicht in:Физика низких температур
Datum:2008
Hauptverfasser: Eleftheriou, M., Flach, S.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
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Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/117342
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Zitieren:Interaction of discrete breathers with thermal fluctuations
 / M. Eleftheriou, S. Flach // Физика низких температур. — 2008. — Т. 34, № 7. — С. 701–706. — Бібліогр.: 25 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Eleftheriou, M.
Flach, S.
author_facet Eleftheriou, M.
Flach, S.
citation_txt Interaction of discrete breathers with thermal fluctuations
 / M. Eleftheriou, S. Flach // Физика низких температур. — 2008. — Т. 34, № 7. — С. 701–706. — Бібліогр.: 25 назв. — англ.
collection DSpace DC
container_title Физика низких температур
description Discrete breathers (DB) are time-periodic and spatially localized lattice excitations, which can be linearly
 stable or unstable with respect to either localized or extended perturbations. We analyze the interaction
 of DBs with a thermalized background of small amplitude lattice excitations in a one-dimensional lattice of
 Morse oscillators with nearest neighbour interaction. We find that stable DBs are barely influenced by the
 thermal noise. Unstable DBs are starting to propagate through the lattice, without loosing their localization
 character. The instability can be both due to localized perturbations, as well as due to extended perturbations.
 We discuss these observations in terms of resonances of DBs with localized and delocalized perturbations,
 and relate them to the issue of DB impact on statistical properties of nonlinear lattices.
first_indexed 2025-11-24T12:20:58Z
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 2025-11-24T12:20:58Z
publishDate 2008
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
record_format dspace
spelling Eleftheriou, M.
Flach, S.
2017-05-22T14:45:12Z
2017-05-22T14:45:12Z
2008
Interaction of discrete breathers with thermal fluctuations
 / M. Eleftheriou, S. Flach // Физика низких температур. — 2008. — Т. 34, № 7. — С. 701–706. — Бібліогр.: 25 назв. — англ.
0132-6414
PACS: 05.10.–a;05.45.Yv;63.20.Ry
https://nasplib.isofts.kiev.ua/handle/123456789/117342
Discrete breathers (DB) are time-periodic and spatially localized lattice excitations, which can be linearly
 stable or unstable with respect to either localized or extended perturbations. We analyze the interaction
 of DBs with a thermalized background of small amplitude lattice excitations in a one-dimensional lattice of
 Morse oscillators with nearest neighbour interaction. We find that stable DBs are barely influenced by the
 thermal noise. Unstable DBs are starting to propagate through the lattice, without loosing their localization
 character. The instability can be both due to localized perturbations, as well as due to extended perturbations.
 We discuss these observations in terms of resonances of DBs with localized and delocalized perturbations,
 and relate them to the issue of DB impact on statistical properties of nonlinear lattices.
This work is dedicated to the memory of Arnold
 Markovich Kosevich. His early contributions in the field
 of discrete breathers have been of great importance for
 further progress in the subject. Arnold Markovich's continued
 interest in that field, over decades, was very important,
 and stimulated and motivated the interest of especially
 young researchers in this rapidly evolving area of
 nonlinear dynamics and physics of complex systems.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
Низкоразмерные и неупорядоченные системы
Interaction of discrete breathers with thermal fluctuations
Article
published earlier
spellingShingle Interaction of discrete breathers with thermal fluctuations
Eleftheriou, M.
Flach, S.
Низкоразмерные и неупорядоченные системы
title Interaction of discrete breathers with thermal fluctuations
title_full Interaction of discrete breathers with thermal fluctuations
title_fullStr Interaction of discrete breathers with thermal fluctuations
title_full_unstemmed Interaction of discrete breathers with thermal fluctuations
title_short Interaction of discrete breathers with thermal fluctuations
title_sort interaction of discrete breathers with thermal fluctuations
topic Низкоразмерные и неупорядоченные системы
topic_facet Низкоразмерные и неупорядоченные системы
url https://nasplib.isofts.kiev.ua/handle/123456789/117342
work_keys_str_mv AT eleftherioum interactionofdiscretebreatherswiththermalfluctuations
AT flachs interactionofdiscretebreatherswiththermalfluctuations