Title: ON THE STATISTICAL HYDRODYNAMICS FOR A BINARY MIXTURE OF MAGNETIC AND NON-MAGNETIC PARTICLES
Author(s): O.Batsevych (National University ``Lvivska Politekhnika'', 12 Bandera Str., 79013 Lviv, Ukraine), I.Mryglod (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine), Yu.Rudavskii (National University ``Lvivska Politekhnika'', 12 Bandera Str., 79013 Lviv, Ukraine), M.Tokarchuk (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)

Dynamic properties of a binary mixture of magnetic and non-magnetic particles are considered using the method of non-equilibrium statistical operator. The generalized hydrodynamic equations are derived and analyzed. Based on this, the hydrodynamic collective modes spectrum is calculated and expressions for sound velocity and damping coefficients of these modes are obtained. We also propose the consistent scheme for calculation of hydrodynamic time correlation functions and thus the expressions derived for them in the paramagnetic state are discussed.

Key words: hydrodynamic equations, correlation functions, hydrodynamic modes, sound velocity, damping coefficients, weight coefficients
PACS: 75.50.Mm, 05.60.+w, 51.10.+y, 05.70.Ln, 05.20.-y