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

Author

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  • Hlushak, Petro
  • Tokarchuk, Mykhailo

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.

Suggested Citation

  • Hlushak, Petro & Tokarchuk, Mykhailo, 2016. "Chain of kinetic equations for the distribution functions of particles in simple liquid taking into account nonlinear hydrodynamic fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 231-245.
    • Handle: RePEc:eee:phsmap:v:443:y:2016:i:c:p:231-245
    DOI: 10.1016/j.physa.2015.09.059
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