Multiple glasses in asymmetric binary hard spheres

2010/10/03 by Th. Voigtmann, Thomas Voigtmann · 2 citations
Earth and Planetary Sciences · Materials Science · Mathematics · Physics and Astronomy · #Binary number #Condensed matter physics #Coupling (piping) #Diffusion #Glass transition #Hard spheres #High-pressure geophysics and materials #Logarithm #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Mode coupling #Optics #Particle (ecology) #Physics #Polymer #Power law #SPHERES #Statistical physics #Statistics #Theoretical and Computational Physics #Thermodynamics #cond-mat.soft

paper · pdf · doi:10.1209/0295-5075/96/36006

4 pages, 2 figures

arxiv created 2010/10/03 · openalex publication_date 2011/10/20 · arxiv updated 2015/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Multiple distinct glass states with different dynamic and mechanical properties occur in binary hard-sphere mixtures with constituents of very disparate sizes according to the mode-coupling theory of the glass transition (MCT), distinguished by considering whether small particles remain mobile or not, and whether small particles contribute significantly to perturb the big-particle structure or not. In the idealized case, the four different glasses are separated by well-defined glass and localization transitions that give rise to higher-order singularities involving logarithmic decay laws, and to anomalous power-law–like diffusion.

Citations

• Liquid-Glass Transition of a Fluid Confined in a Disordered Porous Matrix: A Mode-Coupling Theory
• Activated Bond-Breaking Processes Preempt the Observation of a Sharp Glass-Glass Transition in Dense Short-Ranged Attractive Colloids
• Relaxation scenarios in a mixture of large and small spheres: Dependence on the size disparity
• これはひどい--税務調査に抗議の自殺者 (乱れる税務行政と人権 )
• Crossover in the Slow Decay of Dynamic Correlations in the Lorentz Model
• Effect of composition changes on the structural relaxation of a binary mixture
• Evidence of a Higher-Order Singularity in Dense Short-Ranged Attractive Colloids
• α-relaxation processes in binary hard-sphere mixtures
• Critical dynamics of ballistic and Brownian particles in a heterogeneous environment
• Interaction between particles suspended in solutions of macromolecules
• Mixing Effects for the Structural Relaxation in Binary Hard-Sphere Liquids
• Higher-order glass-transition singularities in colloidal systems with attractive interactions

Cited by

• Mode-coupling theory of the glass transition for confined fluids
• Dynamic arrest in model porous media—intermediate scattering functions