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

Abstract

A fundamental challenge of the theory of liquids is to understand the similarities and differences in the macroscopic dynamics of both colloidal and atomic liquids, which originate in the (Newtonian or Brownian) nature of the microscopic motion of their constituents. Starting from the recently-discovered long-time dynamic equivalence between a colloidal and an atomic liquid that share the same interparticle pair potential, in this work we develop a self-consistent generalized Langevin equation (SCGLE) theory for the dynamics of equilibrium multicomponent atomic liquids, applicable as an approximate but quantitative theory describing the long-time diffusive dynamical properties of simple equilibrium atomic liquids. When complemented with a Gaussian-like approximation, this theory is also able to provide a reasonable representation of the passage from ballistic to diffusive behavior. We illustrate the applicability of the resulting theory with three particular examples, namely, a monodisperse and a polydisperse monocomponent hard-sphere liquid, and a highly size-asymmetric binary hard-sphere mixture. To assess the quantitative accuracy of our results, we perform event-driven molecular dynamics simulations, which corroborate the general features of the theoretical predictions.

11 pages, 12 Figures

References in corpus (6)

• Crystallization of hard-sphere glasses
• Structural relaxation of polydisperse hard spheres: comparison of the mode-coupling theory to a Langevin dynamics simulation
• A New Theory of Dynamic Arrest in Colloidal Mixtures
• Simplified Self-Consistent Theory of Colloid Dynamics
• Equilibration and aging of dense soft-sphere glass-forming liquids
• Overdamped van Hove function of atomic liquids

Cited by in corpus (5)

• Noether's Theorem in Statistical Mechanics
• Glassy dynamics in asymmetric binary mixtures of hard-spheres
• Universality in Driven and Equilibrium Hard Sphere Liquid Dynamics
• Waiting-time dependent non-equilibrium phase diagram of simple glass- and gel-forming liquids
• Dynamic Decay and Superadiabatic Forces in the van Hove Dynamics of Bulk Hard Sphere Fluids