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A fundamental challenge of the theory of liquids is to understand thesimilarities and differences in the macroscopic dynamics of both colloidal andatomic liquids, which originate in the (Newtonian or Brownian) nature of themicroscopic motion of their constituents. Starting from the recently-discoveredlong-time dynamic equivalence between a colloidal and an atomic liquid thatshare the same interparticle pair potential, in this work we develop aself-consistent generalized Langevin equation (SCGLE) theory for the dynamicsof equilibrium multicomponent atomic liquids, applicable as an approximate butquantitative theory describing the long-time diffusive dynamical properties ofsimple equilibrium atomic liquids. When complemented with a Gaussian-likeapproximation, this theory is also able to provide a reasonable representationof the passage from ballistic to diffusive behavior. We illustrate theapplicability of the resulting theory with three particular examples, namely, amonodisperse and a polydisperse monocomponent hard-sphere liquid, and a highlysize-asymmetric binary hard-sphere mixture. To assess the quantitative accuracyof our results, we perform event-driven molecular dynamics simulations, whichcorroborate the general features of the theoretical predictions.

Self-consistent generalized Langevin equation theory of the dynamics of multicomponent atomic liquids