Condensed Matter Physics, 2014, vol. 17, No. 2, p. 23606:114
DOI:10.5488/CMP.17.23606
arXiv:1301.0481
Title:
Quantum transport equations for Bose systems taking into account nonlinear hydrodynamic processes
Author(s):

P.A. Hlushak
(Institute for condensed Matter Physics of the National Academy of Sciences of Ukraine 1 Svientsitskii St., 79011 Lviv, Ukraine)
,


M.V. Tokarchuk
(Institute for condensed Matter Physics of the National Academy of Sciences of Ukraine 1 Svientsitskii St., 79011 Lviv, Ukraine)

Using the method of nonequilibrium statistical operator by Zubarev, an approach is proposed for the description of kinetics which takes into account the nonlinear hydrodynamic fluctuations for a quantum Bose system. Nonequilibrium statistical operator is presented which consistently describes both the kinetic and nonlinear hydrodynamic processes. Both a kinetic equation for the nonequilibrium oneparticle distribution function and a generalized FokkerPlanck equation for nonequilibrium distribution function of hydrodynamic variables (densities of momentum, energy and particle number) are obtained. A structure function of hydrodynamic fluctuations in cumulant representation is calculated, which makes it possible to analyse the generalized FokkerPlanck equation in Gaussian and higher approximations of the dynamic correlations of hydrodynamic variables which is important in describing the quantum turbulent processes.
Key words:
Bose system, helium, kinetics, hydrodynamics, correlation function, FokkerPlanck equation
PACS:
67.40.w, 47.37.+q
