Statistical Mechanics of Transport Processes. XI. Equations of Transport in Multicomponent Systems

The equations of hydrodynamics including the equations of continuity, equations of motion of the individual components as well as the over‐all equation of motion, and the energy transport equation are derived from statistical mechanics. Introduction of perturbations to the singlet and pair space distribution functions linearized in the temperature gradient, diffusion velocities, and the local rate of shear leads in the stationary case to the linear relations of irreversible thermodynamics between the gradients of temperature and chemical potential and the fluxes of heat and matter.