2011/03/31 by Fabian Weysser, David Hajnal · 45 citations
Chemical Engineering · Materials Science · Mathematics · Physics and Astronomy · #Binary number #Brownian motion #Coupling (piping) #Ergodicity #Glass transition #Material Dynamics and Properties #Materials science #Mathematics #Mixing (physics) #Mode coupling #Nuclear magnetic resonance #Physics #Quantum mechanics #Relaxation (psychology) #Statistical physics #Theoretical and Computational Physics #Thermodynamic properties of mixtures #Thermodynamics #Transition point #cond-mat.soft
paper · pdf · doi:10.1103/physreve.83.041503
published in Physical Review E 83(4), 041503 (American Physical Society) · 12 pages, 18 figures
openalex publication_date 2011/04/25 · arxiv created 2011/04/26 · arxiv updated 2011/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze the glassy dynamics of 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 a fixed packing fraction leads to a speedup in the long-time dynamics, while for small size disparities it leads to a slowing-down. Qualitative features of the nonergodicity parameters and the β relaxation, which both depend in a nontrivial 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 φ(c)=0.7948 and test MCT predictions quantitatively.