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16-06U

16-06U


By Velychko - Posted on 07 September 2016

UDC: 
536.75, 538.931
PACS: 
05.20.Dd, 05.40.-a, 05.60.Cd

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

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 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 velocities (above Gaussian approximation) with separated contributions from short and long-range interactions is proposed.

Year: 
2016
Pages: 
33
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