Title:GENERALIZED STATISTICAL HYDRODYNAMICS OF FLUIDS: APPROACH OF GENERALIZED COLLECTIVE MODES
Authors:I.M.Mryglod (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine 1 Svientsitskii St., 290011 Lviv--11, Ukraine)

The aim of this review article is to present recent advances in the generalized hydrodynamics of dense gases and liquids. The presentation attempts to integrate the results known previously with the perspective of the nonequilibrium theory of fluids, but special attention is given to the formalism of generalized collective modes (GCM). This approach allows us to describe consistently the dynamics of fluids in a wide range of wavevectors and frequencies, starting from the hydrodynamic values and up to the Gaussian limit, and to perform the calculation of time correlation functions and generalized transport coefficients within the unified scheme. We start with the basic equations of the theory. Applications of the GCM approach to the studies of dynamical properties of various fluid systems (the Lennard-Jones fluid, metallic Cs, binary mixtures and polar liquids) are then discussed. It is shown how the method can be used in the investigations of magnetic fluids and multicomponent mixtures. Illustrating results, obtained for the GCM spectra of various systems, are presented. Experimental evidence is cited in favour of the observable propagating kinetic modes found in the theory. A limited discussion is given to the mode coupling effects. The relationship to other methods used in the theory of fluids is also discussed.

Key words: generalized hydrodynamics, collective modes, fluids, mixtures, time correlation function
Comments: Figs. 6, Refs. 100, Tabs. 0.