Chain of kinetic equations for the distribution functions of particles in simple liquid taking into account nonlinear hydrodynamic fluctuations

2015/07/23 by Petro Hlushak, Mykhailo Tokarchuk · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #msc:82C05 #msc:82C31 #msc:82C70

paper · pdf · doi:10.1016/j.physa.2015.09.059

31 pages

arxiv created 2015/07/23 · arxiv updated 2015/10/28

Abstract

Chain of kinetic equations for non-equilibrium single, double and s-particle distribution functions of particles is obtained taking into account nonlin- ear hydrodynamic fluctuations. Non-equilibrium distribution function of non-linear hydrodynamic fluctuations satisfies a generalized Fokker-Planck equation. The method of non-equilibrium statistical operator by Zubarev is applied. A way of calculating of the structural distribution function of hydrodynamic collective variables and their hydrodynamic velocities (above Gaussian approximation) contained in the generalized Fokker-Planck equa- tion for the non-equilibrium distribution function of hydrodynamic collective variables is proposed.

Cited by

• BBGKY chain of kinetic equations, non-equilibrium statistical operator method and collective variable method in the statistical theory of non-equilibrium liquids

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