Calculation of transport coefficients dispersion and a dynamic structure factor of simple liquid
The dynamic structure factor and the dispersion of transport coefficients are calculated for a simple liquid on the basis of the Fokker-Planck equation for a nonequilibrium distribution function of collective variables. The mode-coupling theory is used to obtain a closed chain of equations for wav...
Збережено в:
| Дата: | 1999 |
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| Автор: | |
| 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/123456789/119911 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Calculation of transport coefficients dispersion and a dynamic structure factor of simple liquid / V.V. Ignatyuk // Condensed Matter Physics. — 1999. — Т. 2, № 1(17). — С. 37-51. — Бібліогр.: 29 назв. — англ. |
Репозитарії
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irk-123456789-1199112017-06-11T03:03:43Z Calculation of transport coefficients dispersion and a dynamic structure factor of simple liquid Ignatyuk, V.V. The dynamic structure factor and the dispersion of transport coefficients are calculated for a simple liquid on the basis of the Fokker-Planck equation for a nonequilibrium distribution function of collective variables. The mode-coupling theory is used to obtain a closed chain of equations for wave-vector-( k ) and frequency-( ω ) dependent transport coefficients. It is shown that in the intermediate region of k the relations of nonlocal thermodynamics give more reliable results, while in the case of small wave-number values one could restrict oneself by local thermodynamics. An analysis of the sound mode is performed and the coefficient at k⁵/² for a sound frequency dispersion is calculated. The obtained results are compared with both the experimental data and computer simulation. На основi piвняння Фоккеpа-Планка для неpiвноважної функцiї pозподiлу колективних змiнних пpоводиться pозpахунок динамiчного стpуктуpного фактоpа та диспеpсiї коефiцiєнтiв пеpеносу пpостих piдин. Для отpимання замкнутого ланцюжка piвнянь для коефiцiєнтiв пеpеносу, якi є функцiями хвильового вектоpа k та частоти ω , застосовується фоpмалiзм теоpiї взаємодiючих мод. Показано, що в пpомiжнiй областi k спiввiдношення нелокальної теpмодинамiки дають точнiшi pезультати, тодi як пpи малих значеннях хвильового вектоpа можна обмежитись спiввiдношеннями локальної теpмодинамiки. Пpоведено дослiдження звукової моди та обчислено коефiцiєнт бiля k ⁵/² у виpазi для диспеpсiї частоти звуку. Отpиманi pезультати поpiвнюються як з даними експеpименту, так i молекуляpної динамiки. 1999 Article Calculation of transport coefficients dispersion and a dynamic structure factor of simple liquid / V.V. Ignatyuk // Condensed Matter Physics. — 1999. — Т. 2, № 1(17). — С. 37-51. — Бібліогр.: 29 назв. — англ. 1607-324X DOI:10.5488/CMP.2.1.37 PACS: 05.60.+w, 05.70.Ln, 51.10.+y, 61.20.Lc, 61.20.Ne http://dspace.nbuv.gov.ua/handle/123456789/119911 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 |
The dynamic structure factor and the dispersion of transport coefficients
are calculated for a simple liquid on the basis of the Fokker-Planck equation for a nonequilibrium distribution function of collective variables. The
mode-coupling theory is used to obtain a closed chain of equations for
wave-vector-( k ) and frequency-( ω ) dependent transport coefficients. It is
shown that in the intermediate region of k the relations of nonlocal thermodynamics give more reliable results, while in the case of small wave-number values one could restrict oneself by local thermodynamics. An
analysis of the sound mode is performed and the coefficient at k⁵/² for
a sound frequency dispersion is calculated. The obtained results are compared with both the experimental data and computer simulation. |
| format |
Article |
| author |
Ignatyuk, V.V. |
| spellingShingle |
Ignatyuk, V.V. Calculation of transport coefficients dispersion and a dynamic structure factor of simple liquid Condensed Matter Physics |
| author_facet |
Ignatyuk, V.V. |
| author_sort |
Ignatyuk, V.V. |
| title |
Calculation of transport coefficients dispersion and a dynamic structure factor of simple liquid |
| title_short |
Calculation of transport coefficients dispersion and a dynamic structure factor of simple liquid |
| title_full |
Calculation of transport coefficients dispersion and a dynamic structure factor of simple liquid |
| title_fullStr |
Calculation of transport coefficients dispersion and a dynamic structure factor of simple liquid |
| title_full_unstemmed |
Calculation of transport coefficients dispersion and a dynamic structure factor of simple liquid |
| title_sort |
calculation of transport coefficients dispersion and a dynamic structure factor of simple liquid |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
1999 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119911 |
| citation_txt |
Calculation of transport coefficients dispersion and a dynamic structure factor of simple liquid / V.V. Ignatyuk // Condensed Matter Physics. — 1999. — Т. 2, № 1(17). — С. 37-51. — Бібліогр.: 29 назв. — англ. |
| series |
Condensed Matter Physics |
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2023-10-18T20:35:44Z |
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