Two-Time Temperature Green's Functions in Kinetic Theory and Molecular Hydrodynamics: III. Taking the Interaction of Hydrodynamic Fluctuations into Account

We describe a systematic method for constructing equations for Green's functions in molecular hydrodynamics and kinetics problems. The method allows consecutively accounting for the contribution to the generalized kinetic coefficients due to the interaction of two, three, and more hydrodynamic modes. In contrast to the standard perturbation theory in the coupling constant, the consecutive approximations are taken with respect to the degree of higher correlations described by irreducible functions.