Fluctuational dynamics and the structure factor of nonlinear reactive systems on a 1D lattice
Within the investigated model of a one-dimensional bi- and tri-molecular chemically reacted crystal, the asymptotic behaviour of the amplitude of a two-particle static structure factor (as a function of the crystal length) has been discovered. The nonlinear fluctuational scenario leads us to the...
Збережено в:
Дата: | 1999 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут фізики конденсованих систем НАН України
1999
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Назва видання: | Condensed Matter Physics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119921 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Fluctuational dynamics and the structure factor of nonlinear reactive systems on a 1D lattice / O.I. Gerasimov, N.N. Khudyntsev // Condensed Matter Physics. — 1999. — Т. 2, № 1(17). — С. 75-79. — Бібліогр.: 9 назв. — англ. |
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irk-123456789-1199212017-06-11T03:03:20Z Fluctuational dynamics and the structure factor of nonlinear reactive systems on a 1D lattice Gerasimov, O.I. Khudyntsev, N.N. Within the investigated model of a one-dimensional bi- and tri-molecular chemically reacted crystal, the asymptotic behaviour of the amplitude of a two-particle static structure factor (as a function of the crystal length) has been discovered. The nonlinear fluctuational scenario leads us to the conclusion as to the possibility of existence of an asymptotic metastable cluster fragmentation within initially homogeneous 1D systems. A connection between some possible effects and the properties of the fluctuations in reacting systems and reactive dynamics in a partially filled lattice is also shown. Запропонована модель одновимірного кристалу з дво- та тримолекулярними хімічними реакціями, для якої досліджена асимптотична поведінка амплітуди двочастинкового статичного структурного фактору (як функції довжини кристала). Аналіз нелінійного характеру флуктуацій свідчить про принципову можливість існування асимптотичних метастабільних станів у модельному одновимірному кристалі з однорідними початковими умовами. Також досліджено зв’язок між флуктуаційними властивостями та динамікою систем, що реагують, та деякими ефектами, що можуть виникати на цілком заповнених гратках. 1999 Article Fluctuational dynamics and the structure factor of nonlinear reactive systems on a 1D lattice / O.I. Gerasimov, N.N. Khudyntsev // Condensed Matter Physics. — 1999. — Т. 2, № 1(17). — С. 75-79. — Бібліогр.: 9 назв. — англ. 1607-324X DOI:10.5488/CMP.2.1.75 PACS: 61.20.Gy, 82.40.-g. http://dspace.nbuv.gov.ua/handle/123456789/119921 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
description |
Within the investigated model of a one-dimensional bi- and tri-molecular
chemically reacted crystal, the asymptotic behaviour of the amplitude of
a two-particle static structure factor (as a function of the crystal length)
has been discovered. The nonlinear fluctuational scenario leads us to the
conclusion as to the possibility of existence of an asymptotic metastable
cluster fragmentation within initially homogeneous 1D systems. A connection between some possible effects and the properties of the fluctuations
in reacting systems and reactive dynamics in a partially filled lattice is also
shown. |
format |
Article |
author |
Gerasimov, O.I. Khudyntsev, N.N. |
spellingShingle |
Gerasimov, O.I. Khudyntsev, N.N. Fluctuational dynamics and the structure factor of nonlinear reactive systems on a 1D lattice Condensed Matter Physics |
author_facet |
Gerasimov, O.I. Khudyntsev, N.N. |
author_sort |
Gerasimov, O.I. |
title |
Fluctuational dynamics and the structure factor of nonlinear reactive systems on a 1D lattice |
title_short |
Fluctuational dynamics and the structure factor of nonlinear reactive systems on a 1D lattice |
title_full |
Fluctuational dynamics and the structure factor of nonlinear reactive systems on a 1D lattice |
title_fullStr |
Fluctuational dynamics and the structure factor of nonlinear reactive systems on a 1D lattice |
title_full_unstemmed |
Fluctuational dynamics and the structure factor of nonlinear reactive systems on a 1D lattice |
title_sort |
fluctuational dynamics and the structure factor of nonlinear reactive systems on a 1d lattice |
publisher |
Інститут фізики конденсованих систем НАН України |
publishDate |
1999 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/119921 |
citation_txt |
Fluctuational dynamics and the structure factor of nonlinear reactive systems on a 1D lattice / O.I. Gerasimov, N.N. Khudyntsev // Condensed Matter Physics. — 1999. — Т. 2, № 1(17). — С. 75-79. — Бібліогр.: 9 назв. — англ. |
series |
Condensed Matter Physics |
work_keys_str_mv |
AT gerasimovoi fluctuationaldynamicsandthestructurefactorofnonlinearreactivesystemsona1dlattice AT khudyntsevnn fluctuationaldynamicsandthestructurefactorofnonlinearreactivesystemsona1dlattice |
first_indexed |
2023-10-18T20:35:45Z |
last_indexed |
2023-10-18T20:35:45Z |
_version_ |
1796150612039041024 |