Geometrical Frustration and Static Correlations in a Simple Glass Former

Abstract

We study the geometrical frustration scenario of glass formation for simple hard sphere models. We find that the dual picture in terms of defects brings little insight and no theoretical simplification for the understanding of the slowing down of relaxation, because of the strong frustration characterizing these systems. The possibility of a growing static length is furthermore found to be physically irrelevant in the regime that is accessible to computer simulations.

4 pages, 3 figures

References in corpus (10)

• Packing Hyperspheres in High-Dimensional Euclidean Spaces
• Probing the equilibrium dynamics of colloidal hard spheres above the mode-coupling glass transition
• Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
• Growing length and time scales in glass forming liquids
• Rigorous Inequalities between Length and Time Scales in Glassy Systems
• The glass transition of dense fluids of hard and compressible spheres
• Crystallization of hard-sphere glasses
• Understanding fragility in supercooled Lennard-Jones mixtures. I. Locally preferred structures
• Tuning the fragility of a glassforming liquid by curving space
• Characterizing order in amorphous systems

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