Atomic mixing in multicomponent gases and plasmas is usually described as a diffusional process. The diffusional description is an approximation to a more general dynamical description in which the motion of each individual species or material is governed by its own momentum equation, with appropriate coupling terms to represent the exchange of momentum between different species. These equations are not new, but they are scattered in the literature. Here we summarize the form of these species momentum equations, and the coupling coefficients therein, in sufficient detail to facilitate their inclusion and use to simulate atomic mixing in hydrodynamics codes.