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 excitations in a on...
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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2008 |
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| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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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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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Interaction of discrete breathers with thermal fluctuations |
| spellingShingle |
Interaction of discrete breathers with thermal fluctuations Eleftheriou, M. Flach, S. Низкоразмерные и неупорядоченные системы |
| title_short |
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_sort |
interaction of discrete breathers with thermal fluctuations |
| author |
Eleftheriou, M. Flach, S. |
| author_facet |
Eleftheriou, M. Flach, S. |
| topic |
Низкоразмерные и неупорядоченные системы |
| topic_facet |
Низкоразмерные и неупорядоченные системы |
| publishDate |
2008 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| 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.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/117342 |
| fulltext |
|
| 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. |
| work_keys_str_mv |
AT eleftherioum interactionofdiscretebreatherswiththermalfluctuations AT flachs interactionofdiscretebreatherswiththermalfluctuations |
| first_indexed |
2025-11-24T12:20:58Z |
| last_indexed |
2025-11-24T12:20:58Z |
| _version_ |
1850846708546666496 |