Tests of mode-coupling theory in two dimensions
arXiv:1103.1297 · doi:10.1103/PhysRevE.83.041503
Abstract
We analyze the glassy dynamics of a binary mixtures of hard disks in two dimensions. Predictions of the Mode-Coupling theory(MCT) are tested with extensive Brownian dynamics simulations. Measuring the collective particle density correlation functions in the vicinity of the glass transition we verify four predicted mixing effects. For instance, for large size disparities, adding a small amount of small particles at fixed packing fraction leads to a speed up in the long time dynamics, while at small size disparity it leads to a slowing down. Qualitative features of the non-ergodicity parameters and the -relaxation which both depend in a non-trivial way on the mixing ratio are found in the simulated correlators. Studying one system in detail we are able to determine its ideal MCT glass transition point as and test MCT predictions quantitatively.
12 pages, 18 figures
References in corpus (18)
- How does the relaxation of a supercooled liquid depend on its microscopic dynamics?
- Absence of Thermodynamic Phase Transition in a Model Glass Former
- Effect of Composition Changes on the Structural Relaxation of a Binary Mixture
- Event-Driven Brownian Dynamics for Hard Spheres
- Alpha-Relaxation Processes in Binary Hard-Sphere Mixtures
- The experimental realization of a two-dimensional colloidal model system
- Relaxation in a glassy binary mixture: Mode-coupling-like power laws, dynamic heterogeneity and a new non-Gaussian parameter
- Mode-Coupling Theory as a Mean-Field Description of the Glass Transition
- Mixing effects for the structural relaxation in binary hard-sphere liquids
- Dynamic Glass Transition in Two Dimensions
- Glass transition of hard spheres in high dimensions
- Dynamics of particles and cages in an experimental 2D glass former
- The beta-relaxation dynamics of a simple liquid
- Completely monotone solutions of the mode-coupling theory for mixtures
- Effect of mixing and spatial dimension on the glass transition
- Comment on "Probing the equilibrium dynamics of colloidal hard spheres above the mode-coupling glass transition"
- Flow curves of colloidal dispersions close to the glass transition: Asymptotic scaling laws in a schematic model of mode coupling theory
- Glass transition of binary mixtures of dipolar particles in two dimensions
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- Mermin-Wagner fluctuations in 2D amorphous solids
- Multiple Glasses in Asymmetric Binary Hard Spheres
- Overshoots in stress strain curves: Colloid experiments and schematic mode coupling theory
- Mode-coupling theory of the glass transition for confined fluids
- Glass elasticity from particle trajectories
- Anatomy of cage formation in a 2D glass-forming liquid
- Strain pattern in supercooled liquids
- Equation of state of polydisperse hard-disk mixtures in the high-density regime
- Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions
- Mode-coupling theory for multiple decay channels
- Density Functional approach to Nonlinear Rheology
- Relaxation dynamics in a binary hard-ellipse liquid
- Glassy dynamics in confinement: Planar and bulk limit of the mode-coupling theory
- Mode-coupling approach for the slow dynamics of a liquid on a spherical substrate
- Unveiling the anatomy of mode-coupling theory
- Glassy dynamics of a binary Voronoi fluid: A mode-coupling analysis
- Structure, compressibility factor and dynamics of highly size-asymmetric binary hard-disk liquids
- Decoupling of rotation and translation at the colloidal glass transition
- Long ranged stress correlations in the hard sphere liquid
- Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics