Ya. Tserkovnikov, MOLECULAR HYDRODYNAMICS OF A WEAKLY DEGENERATE NONIDEAL BOSE-GAS .2. GREEN-FUNCTIONS AND KINETIC COEFFICIENTS, Theoretical and mathematical physics, 105(1), 1995, pp. 1249-1290
The nonideal degenerate Bose-system at a temperature close to zero is
investigated by N. N. Bogolyubov and D. N. Zubarev's method of collect
ive variables. Applicable to a wide range of frequencies and wave vect
ors, interpolated expressions for the Green functions of the densities
cf conserved quantities and for the superfluid velocity potential are
derived from exact relations. The criteria defining the validity doma
in of the hydrodynamic approximation are obtained. The kinetic coeffic
ients of two-liquid hydrodynamics at temperatures close to zero are ca
lculated for a weakly nonideal Bose-gas. A comparison with the method
employing the kinetic equation for quasi-particles is made.