Effect of mixing and spatial dimension on the glass transition
arXiv:0907.2355 · doi:10.1103/PhysRevE.80.021503
Abstract
We study the influence of composition changes on the glass transition of binary hard disc and hard sphere mixtures in the framework of mode coupling theory. We derive a general expression for the slope of a glass transition line. Applied to the binary mixture in the low concentration limits, this new method allows a fast prediction of some properties of the glass transition lines. The glass transition diagram we find for binary hard discs strongly resembles the random close packing diagram. Compared to 3D from previous studies, the extension of the glass regime due to mixing is much more pronounced in 2D where plasticization only sets in at larger size disparities. For small size disparities we find a stabilization of the glass phase quadratic in the deviation of the size disparity from unity.
13 pages, 8 figures, Phys. Rev. E (in print)
References in corpus (7)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- The Jamming Transition in Granular Systems
- Alpha-Relaxation Processes in Binary Hard-Sphere Mixtures
- Mixing effects for the structural relaxation in binary hard-sphere liquids
- Dynamic Glass Transition in Two Dimensions
- Slow Dynamics in Ion-Conducting Sodium Silicate Melts: Simulation and Mode-Coupling Theory
- A New Theory of Dynamic Arrest in Colloidal Mixtures
Cited by in corpus (18)
- Glass transitions in two-dimensional suspensions of colloidal ellipsoids
- Multiple Glasses in Asymmetric Binary Hard Spheres
- Nonlinear rheology of colloidal dispersions
- Glass Transition in Confined Geometry
- Glass transition of hard spheres in high dimensions
- Overshoots in stress strain curves: Colloid experiments and schematic mode coupling theory
- Mode-coupling theory of the glass transition for confined fluids
- Specific heat in two-dimensional melting
- Tests of mode-coupling theory in two dimensions
- Mode-coupling theory for multiple decay channels
- Tagged-particle motion in a dense confined liquid
- Relaxation dynamics in a binary hard-ellipse liquid
- Pinning Susceptibility : A Novel Method to Study Growth of Amorphous Order in Glass-forming Liquids
- Glassy dynamics in confinement: Planar and bulk limit of the mode-coupling theory
- Glass transition of binary mixtures of dipolar particles in two dimensions
- Microrheology close to an equilibrium phase transition
- Structure, compressibility factor and dynamics of highly size-asymmetric binary hard-disk liquids
- Glass transition in colloidal monolayers controlled by light-induced caging