2016/12/21 by I. R. Yukhnovskii, P. A. Hlushak, M. V. Tokarchuk
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.5488/cmp.19.43705
published as Condens. Matter Phys., vol. 19, No. 4, 43705 (2016) · 18 pages. arXiv admin note: substantial text overlap with arXiv:1507.06443
arxiv created 2016/12/21 · arxiv updated 2017/02/13
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 hydrodynamic 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 speeds (above Gaussian approximation) contained in the generalized Fokker-Planck equation for the non-equilibrium distribution function of collective variables is proposed. Contributions of short- and long-range interactions between particles are separated, so that the short-range interactions (for example, the model of hard spheres) are described in the coordinate space, while the long-range interactions --- in the space of collective variables. Short-ranged component is regarded as basic, and corresponds to the BBGKY chain of equations for the model of hard spheres.