Structural relaxation in pure liquids: Analysis of wavenumber dependence within the approach of generalized collective modes
Wavenumber dependence of structural relaxation in liquids is studied by the method of generalized collective modes (GCM). A new perturbation approach within the GCM method is proposed and applied in the longwavelenth limit in order to obtain analytical expressions for the wavenumber-dependent stru...
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Дата: | 2008 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
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Інститут фізики конденсованих систем НАН України
2008
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Назва видання: | Condensed Matter Physics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119003 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Structural relaxation in pure liquids: Analysis of wavenumber dependence within the approach of generalized collective modes / T. Bryk, I. Mryglod // Condensed Matter Physics. — 2008. — Т. 11, № 1(53). — С. 139-154. — Бібліогр.: 26 назв. — англ. |
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irk-123456789-1190032017-06-04T03:03:59Z Structural relaxation in pure liquids: Analysis of wavenumber dependence within the approach of generalized collective modes Bryk, T. Mryglod, I. Wavenumber dependence of structural relaxation in liquids is studied by the method of generalized collective modes (GCM). A new perturbation approach within the GCM method is proposed and applied in the longwavelenth limit in order to obtain analytical expressions for the wavenumber-dependent structural relaxation and sound dispersion within a simplified three-variable dynamical model. Analytical results are compared with numerical study of generalized modes within a more general five-variable dynamical model, which accounts for thermal processes in liquids. Numerical results are presented for four thermodynamic points of Lennard- Jones fluid at the reduced temperature T* = 1.71. We discuss the features of non-hydrodynamic process of structural relaxation in different regions of wavenumbers. Залежнiсть вiд хвильового числа для структурної релаксацiї в рiдинах дослiджується методом узагальнених колективних мод (УКМ). Запропоновано новий пертурбативний пiдхiд в рамках методу УКМ, що застосовано для знаходження залежної вiд хвильового числа структурної релаксацiї та дисперсiї звуку у довгохвильовiй границi в рамках спрощеної тризмiнної динамiчної моделi. Аналiтичнi результати порiвнюються iз числовими дослiдженнями узагальнених мод в рамках бiльш загальної п’ятизмiнної динамiчної моделi, що враховує термiчнi процеси в рiдинах. Представлено числовi результати для чотирьох термодинамiчних точок ленард-джонсiвського плину з приведеною температурою T* = 1.71. Обговорюються особливостi негiдродинамiчного процесу структурної релаксацiї у рiзних областях хвильових чисел. 2008 Article Structural relaxation in pure liquids: Analysis of wavenumber dependence within the approach of generalized collective modes / T. Bryk, I. Mryglod // Condensed Matter Physics. — 2008. — Т. 11, № 1(53). — С. 139-154. — Бібліогр.: 26 назв. — англ. 1607-324X PACS: 05.20.Jj, 61.20.Lc, 62.60.+v DOI:10.5488/CMP.11.1.139 http://dspace.nbuv.gov.ua/handle/123456789/119003 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 |
Wavenumber dependence of structural relaxation in liquids is studied by the method of generalized collective
modes (GCM). A new perturbation approach within the GCM method is proposed and applied in the longwavelenth
limit in order to obtain analytical expressions for the wavenumber-dependent structural relaxation
and sound dispersion within a simplified three-variable dynamical model. Analytical results are compared with
numerical study of generalized modes within a more general five-variable dynamical model, which accounts
for thermal processes in liquids. Numerical results are presented for four thermodynamic points of Lennard-
Jones fluid at the reduced temperature T* = 1.71. We discuss the features of non-hydrodynamic process of
structural relaxation in different regions of wavenumbers. |
format |
Article |
author |
Bryk, T. Mryglod, I. |
spellingShingle |
Bryk, T. Mryglod, I. Structural relaxation in pure liquids: Analysis of wavenumber dependence within the approach of generalized collective modes Condensed Matter Physics |
author_facet |
Bryk, T. Mryglod, I. |
author_sort |
Bryk, T. |
title |
Structural relaxation in pure liquids: Analysis of wavenumber dependence within the approach of generalized collective modes |
title_short |
Structural relaxation in pure liquids: Analysis of wavenumber dependence within the approach of generalized collective modes |
title_full |
Structural relaxation in pure liquids: Analysis of wavenumber dependence within the approach of generalized collective modes |
title_fullStr |
Structural relaxation in pure liquids: Analysis of wavenumber dependence within the approach of generalized collective modes |
title_full_unstemmed |
Structural relaxation in pure liquids: Analysis of wavenumber dependence within the approach of generalized collective modes |
title_sort |
structural relaxation in pure liquids: analysis of wavenumber dependence within the approach of generalized collective modes |
publisher |
Інститут фізики конденсованих систем НАН України |
publishDate |
2008 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/119003 |
citation_txt |
Structural relaxation in pure liquids: Analysis of wavenumber dependence within the approach of generalized collective modes / T. Bryk, I. Mryglod // Condensed Matter Physics. — 2008. — Т. 11, № 1(53). — С. 139-154. — Бібліогр.: 26 назв. — англ. |
series |
Condensed Matter Physics |
work_keys_str_mv |
AT brykt structuralrelaxationinpureliquidsanalysisofwavenumberdependencewithintheapproachofgeneralizedcollectivemodes AT mryglodi structuralrelaxationinpureliquidsanalysisofwavenumberdependencewithintheapproachofgeneralizedcollectivemodes |
first_indexed |
2023-10-18T20:33:34Z |
last_indexed |
2023-10-18T20:33:34Z |
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1796150514639962112 |