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

Petro Hlushak and Mykhailo Tokarchuk

Physica A: Statistical Mechanics and its Applications, 2016, vol. 443, issue C, 231-245

Abstract: Chain of kinetic equations for non-equilibrium single, double and s-particle distribution functions of particles is obtained taking into account nonlinear 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 the structural distribution function of hydrodynamic collective variables and their hydrodynamic velocities (above Gaussian approximation) contained in the generalized Fokker–Planck equation for the non-equilibrium distribution function of hydrodynamic collective variables is proposed.

Keywords: Non-linear fluctuations; Non-equilibrium statistical operator; Distribution function; Fokker–Planck equation; Simple fluid (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:443:y:2016:i:c:p:231-245

DOI: 10.1016/j.physa.2015.09.059

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