A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method
A statistical approach to a self-consistent description of kinetic and hydrodynamic processes in systems of interacting particles is formulated on the basis of the nonequilibrium statistical operator method by D.N.Zubarev. It is shown how to obtain the kinetic equation of the revised Enskog theory...
Збережено в:
| Дата: | 1998 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
1998
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119887 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method / M.V. Tokarchuk, I.P. Omelyan, A.E. Kobryn // Condensed Matter Physics. — 1998. — Т. 1, № 4(16). — С. 687-751. — Бібліогр.: 181 назв. — англ. |
Репозитарії
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irk-123456789-1198872017-06-11T03:03:05Z A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method Tokarchuk, M.V. Omelyan, I.P. Kobryn, A.E. A statistical approach to a self-consistent description of kinetic and hydrodynamic processes in systems of interacting particles is formulated on the basis of the nonequilibrium statistical operator method by D.N.Zubarev. It is shown how to obtain the kinetic equation of the revised Enskog theory for a hard sphere model, the kinetic equations for multistep potentials of interaction and the Enskog-Landau kinetic equation for a system of charged hard spheres. The BBGKY hierarchy is analyzed on the basis of modified group expansions. Generalized transport equations are obtained in view of a self-consistent description of kinetics and hydrodynamics. Time correlation functions, spectra of collective excitations and generalized transport coefficients are investigated in the case of weakly nonequilibrium systems of interacting particles. Представлено один із статистичних підходів узгодженого опису кінетичних та гідродинамічних процесів систем взаємодіючих частинок, що сформульований на основі методу нерівноважного статистичного оператора Д.М.Зубарєва. Показано, як із ланцюжка рівнянь ББГКІ з модифікованими граничними умовами отримуються кінетичне рівняння ревізованої теорії Енскога для моделі твердих сфер, кінетичне рівняння для багатосходинкового потенціалу та кінетичне рівняння Енскога-Ландау для моделі заряджених твердих сфер. Проаналізовано ланцюжки рівнянь ББГКІ на основі модифікованих групових розкладів. Отримано узагальнені рівняння переносу узгодженого опису кінетики та гідродинаміки. Для випадку слабо нерівноважних систем класичних взаємодіючих частинок при взаємному врахуванні кінетичних та гідродинамічних процесів досліджено часові кореляційні функції, спектр колективних збуджень та узагальнені коефіцієнти переносу. 1998 Article A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method / M.V. Tokarchuk, I.P. Omelyan, A.E. Kobryn // Condensed Matter Physics. — 1998. — Т. 1, № 4(16). — С. 687-751. — Бібліогр.: 181 назв. — англ. 1607-324X DOI:10.5488/CMP.1.4.687 PACS: 05.20.Dd, 05.60.+w, 52.25.Fi, 71.45.G, 82.20.M http://dspace.nbuv.gov.ua/handle/123456789/119887 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 |
A statistical approach to a self-consistent description of kinetic and hydrodynamic processes in systems of interacting particles is formulated on the
basis of the nonequilibrium statistical operator method by D.N.Zubarev. It
is shown how to obtain the kinetic equation of the revised Enskog theory
for a hard sphere model, the kinetic equations for multistep potentials of interaction and the Enskog-Landau kinetic equation for a system of charged
hard spheres. The BBGKY hierarchy is analyzed on the basis of modified
group expansions. Generalized transport equations are obtained in view
of a self-consistent description of kinetics and hydrodynamics. Time correlation functions, spectra of collective excitations and generalized transport
coefficients are investigated in the case of weakly nonequilibrium systems
of interacting particles. |
| format |
Article |
| author |
Tokarchuk, M.V. Omelyan, I.P. Kobryn, A.E. |
| spellingShingle |
Tokarchuk, M.V. Omelyan, I.P. Kobryn, A.E. A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method Condensed Matter Physics |
| author_facet |
Tokarchuk, M.V. Omelyan, I.P. Kobryn, A.E. |
| author_sort |
Tokarchuk, M.V. |
| title |
A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method |
| title_short |
A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method |
| title_full |
A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method |
| title_fullStr |
A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method |
| title_full_unstemmed |
A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method |
| title_sort |
consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
1998 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119887 |
| citation_txt |
A consistent description of kinetics and hydrodynamics of systems of interacting particles by means of the nonequilibrium statistical operator method / M.V. Tokarchuk, I.P. Omelyan, A.E. Kobryn // Condensed Matter Physics. — 1998. — Т. 1, № 4(16). — С. 687-751. — Бібліогр.: 181 назв. — англ. |
| series |
Condensed Matter Physics |
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