A New Theory of Dynamic Arrest in Colloidal Mixtures

Abstract

We present a new first-principles theory of dynamic arrest in colloidal mixtures based on the multi-component self-consistent generalized Langevin equation (SCGLE) theory of colloid dynamics [Phys. Rev. E {\bf 72}, 031107 (2005); ibid {\bf 76}, 039902 (2007)]. We illustrate its application with the description of dynamic arrest in two simple model colloidal mixtures, namely, the hard-sphere and the repulsive Yukawa binary mixtures. Our results include the observation of the two patterns of dynamic arrest, one in which both species become simultaneously arrested, and the other involving the sequential arrest of the two species. The latter case gives rise to mixed states in which one species is arrested while the other species remains mobile. We also derive the ("fixed point") equations for the non-ergodic parameters of the system, which takes the surprisingly simple form of a system of coupled equations for the localization length of the particles of each species. The solution of this system of equations indicates unambiguously which species is arrested (finite localization length) and which species remains ergodic (infinite localization length). As a result, we are able to draw the entire ergodic--non-ergodic phase diagram of the binary hard-sphere mixture.

1 text archive and 7 figures

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• Glassy dynamics in asymmetric binary mixtures of hard-spheres
• Effect of mixing and spatial dimension on the glass transition
• Different scenarios of dynamic coupling in glassy colloidal mixtures
• Enhancing tracer diffusivity by tuning interparticle interactions and coordination shell structure
• Waiting-time dependent non-equilibrium phase diagram of simple glass- and gel-forming liquids
• Phase separation and dynamical arrest of protein solutions dominated by short-range attractions
• Self-consistent generalized Langevin equation theory of the dynamics of multicomponent atomic liquids
• Diffusivity and Weak Clustering in a Quasi 2D Granular Gas
• Non-Equilibrium View of the Amorphous Solidification of Liquids with Competing Interactions
• Phase Behaviors of Ionic Liquids Attributed to the Dual Ionic and Organic Nature
• Non-equilibrium Onsager-Machlup theory
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• Multiple character of non-monotonic size-dependence for relaxation dynamics in polymer-particle and binary mixtures
• Spatially heterogeneous dynamics and locally arrested density fluctuations from first-principles
• Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics
• Unifying atoms and colloids near the glass transition through bond-order topology