  Based on the generalized kinetic equation for the one-particle distribution
function with a small source, the transition from the kinetic to the
hydrodynamic description of many-particle systems is performed. The basic
feature of this new technique to obtain the hydrodynamic limit is that the
latter has been partially incorporated into the kinetic equation itself. The
hydrodynamic equations for capillary fluids are derived from the characteristic
function for the local moments of the distribution function. The Fick's law
appears as a consequence of the transformation law for the hydrodynamic
quantities under time inversion.
