BBGKY chain of kinetic equations, non-equilibrium statistical operator method and collective variable method in the statistical theory of non-equilibrium liquids
A chain of kinetic equations for non-equilibrium one-particle, two-particle and s-particle distribution functions of particles which take into account nonlinear hydrodynamic fluctuations is proposed. The method of Zubarev non-equilibrium statistical operator with projection is used. Nonlinear hydr...
Збережено в:
| Дата: | 2016 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2016
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156560 |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | BBGKY chain of kinetic equations, non-equilibrium statistical operator method and collective variable method in the statistical theory of non-equilibrium liquids / I.R. Yukhnovskii, P.A. Hlushak, M.V. Tokarchuk // Condensed Matter Physics. — 2016. — Т. 19, № 4. — С. 43705: 1–18. — Бібліогр.: 51 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | A chain of kinetic equations for non-equilibrium one-particle, two-particle and s-particle distribution functions
of particles which take into account nonlinear hydrodynamic fluctuations is proposed. The method of Zubarev
non-equilibrium statistical operator with projection is used. Nonlinear hydrodynamic fluctuations are described
with non-equilibrium distribution function of collective variables that satisfies generalized Fokker-Planck equation. On the basis of the method of collective variables, a scheme of calculation of non-equilibrium structural
distribution function of collective variables and their hydrodynamic speeds (above Gaussian approximation)
contained in the generalized Fokker-Planck equation for the non-equilibrium distribution function of collective
variables is proposed. Contributions of short- and long-range interactions between particles are separated, so
that the short-range interactions (for example, the model of hard spheres) are described in the coordinate
space, while the long-range interactions — in the space of collective variables. Short-ranged component is regarded as basic, and corresponds to the BBGKY chain of equations for the model of hard spheres. |
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