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):
  B.B. Markiv (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine) ,
  I.P. Omelyan (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine) ,
  M.V. Tokarchuk (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)

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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