Condensed Matter Physics, 2010, vol. 13, No. 2, p. 23005:1-16
DOI:10.5488/CMP.13.23005
Title: On the problem of a consistent description of
kinetic and hydrodynamic processes in dense gases and liquids
Author(s):
 
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B.B. Markiv
(Institute for Condensed Matter Physics of the National Academy of
Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)
,
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I.P. Omelyan
(Institute for Condensed Matter Physics of the National Academy of
Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)
,
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M.V. Tokarchuk
(Institute for Condensed Matter Physics of the National Academy of
Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)
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For a consistent description of kinetic and
hydrodynamic processes in dense gases and liquids the generalized
non-Markovian equations for the nonequilibrium one-particle
distribution function and potential part of the averaged enthalpy
density are obtained. The inner structure of the generalized
transport kernels for these equations is established. It is shown
that the collision integral of the kinetic equation has the
Fokker-Planck form with the generalized friction coefficient in
momentum space. It also contains contributions from the generalized
diffusion coefficient and dissipative processes connected with the
potential part of the enthalpy density.
Key words: kinetics, hydrodynamics, kinetic equations,
memory functions, time correlation functions
PACS: 05.20.Dd, 05.60.+w, 52.25.Fi, 82.20.M
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