Asymptotic Behavior of the Green-Kubo Integrands in Binary Mixtures

In binary mixtures, as in monatomic fluids, the time dependent Green-Kubo autocorrelation functions decrease as t−d/2 for large times (d = dimensionality ≥ 3). In 3d binary mixtures, the space dependent auto-correlation functions decrease at large distances as R−4 for the diffusion and thermodiffusion coefficients and as R−7/2 for the shear and bulk viscosity and heat conductivity.