Condensed Matter Physics, 2009, vol. 12, No. 4, pp. 573-580
DOI:10.5488/CMP.12.4.573

Title: Nonequilibrium statistical operator in the generalized hydrodynamics of fluids
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)

The investigations of the classical interacting particles systems far from equilibrium using the Zubarev nonequilibrium statistical operator method are presented. The problem of the relaxation of a nonequilibrium state of a system to the state of molecular hydrodynamics is considered. The nonequilibrium statistical operator and the appropriate transport equations which describe such a relaxation process are obtained. Explicit expressions for dynamic structure factor and momentum-momentum time correlation function are obtained by solving the set of equations for time correlation functions and some numerical results are presented.

Key words: nonequilibrium statistical operator, time-correlation function, transport coefficient, Liouville operator
PACS: 05.60.-k, 05.20.Dd, 52.25.Fi, 71.45.-d


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