We use the Self Consisten Generalized Langevin Equation theory (SCGLE) to study the dynamic arrest transitions of a system of three species of hard sphere colloidal system in the size ratio 1:3:9. We find that the inclusion of the smallest species has a depletion effect that drives the system to a second glass-liquid-glass re-entrance in a similar way that the inclusion of a small species in an otherwise monodisperse system leads to a (first) re-entrance. And we also find that the new glass after the second reentrance has very small localization length. Additionally we compare the kinetic phase diagram of a binary hard sphere mixture with size asymmetry 1:5, obtained with Mode Coupling Theory (MCT) and SCGLE theory and exhibit the significant differences between the two theories.
@article{arxiv.1308.4642,
title = {Kinetic phase diagrams of a ternary hard sphere mixture},
author = {A. Vizcarra-Rendón and A. Puga-Candelas and S. Aranda-Espinoza and M. A. Chávez-Rojo and R. Juárez- Maldonado},
journal= {arXiv preprint arXiv:1308.4642},
year = {2013}
}