Nonlocal hydrodynamics and dispersion of transport coefficients in simple fluid

Nonlocal effects in hydrodynamics and the dispersion of transport coefficients associated with the nonlinear dynamics of gross fluctuations are investigated. Starting from the general expression for the hydrodynamic self-energy, we have derived the nonlocal equations for average values of gross variables and self-consistent equations for k- and ω-dependent transport coefficients. These equations are used then to discuss the spatial and frequency dispersion of heat, shear, and sound modes. The new nonlocal transport coefficient of a thermoelasticity type is found. It is shown too, that in distinction from the spatially uniform case, long-time asymptotics of transport coefficients with finite wave numbers contain the oscillating terms due to effects of “intermediate” sound modes.