Decorrelation of the static and dynamic length scales in hard-sphere glass-formers

Abstract

We show that in the equilibrium phase of glass-forming hard-sphere fluids in three dimensions, the static length scales tentatively associated with the dynamical slowdown and the dynamical length characterizing spatial heterogeneities in the dynamics unambiguously decorrelate. The former grow at a much slower rate than the latter when density increases. This observation is valid for the dynamical range that is accessible to computer simulations, which roughly corresponds to that of colloidal experiments. We also find that in this same range, no one-to-one correspondence between relaxation time and point-to-set correlation length exists. These results point to the coexistence of several relaxation mechanisms in the accessible dynamical regime of three-dimensional hard-sphere glass formers.

arXiv comment8 pages, 7 figures

References in corpus (50)

• Dynamical heterogeneities in a supercooled Lennard-Jones liquid
• Direct experimental evidence of a growing length scale accompanying the glass transition
• Theory of Structural Glasses and Supercooled Liquids
• Spatial Correlations of Mobility and Immobility in a Glassforming Lennard-Jones Liquid
• On the Adam-Gibbs-Wolynes scenario for the viscosity increase in glasses
• Packing Hyperspheres in High-Dimensional Euclidean Spaces
• Thermodynamic signature of growing amorphous order in glass-forming liquids
• Predicting the long time dynamic heterogeneity in a supercooled liquid on the basis of short time heterogeneities
• Roles of icosahedral and crystal-like order in hard spheres glass transition
• Growing length and time scales in glass forming liquids
• The Relationship of Dynamical Heterogeneity to the Adam-Gibbs and Random First-Order Transition Theories of Glass Formation
• Spontaneous and induced dynamic fluctuations in glass-formers I: General results and dependence on ensemble and dynamics
• Rigorous Inequalities between Length and Time Scales in Glassy Systems
• The glass transition of dense fluids of hard and compressible spheres
• Non-monotonic temperature evolution of dynamic correlations in glass-forming liquids
• Ideal Glass Transitions by Random Pinning
• Understanding fragility in supercooled Lennard-Jones mixtures. I. Locally preferred structures
• Static point-to-set correlations in glass-forming liquids
• Dynamic criticality in glass-forming liquids
• Non-linear susceptibility in glassy systems: a probe for cooperative dynamical length scales
• Growing point-to-set length scale correlates with growing relaxation times in model supercooled liquids
• Breakdown of the Stokes-Einstein relation in two, three and four dimensions
• Decoupling of diffusion from structural relaxation and spatial heterogeneity in a supercooled simple liquid
• Identification of long-lived clusters and their link to slow dynamics in a model glass former
• Glass transition and random close packing above three dimensions
• The Geometry of Slow Structural Fluctuations in a Supercooled Binary Alloy
• Alpha-Relaxation Processes in Binary Hard-Sphere Mixtures
• Geometrical Frustration and Static Correlations in a Simple Glass Former
• Locally preferred structures and many-body static correlations in viscous liquids
• Mixing effects for the structural relaxation in binary hard-sphere liquids
• Localised soft modes and the supercooled liquid's irreversible passage through its configuration space
• Finite size effects in the dynamics of glass-forming liquids
• Dimensional Study of the Caging Order Parameter at the Glass Transition
• Multiple length and time scales of dynamic heterogeneities in model glass-forming liquids: A systematic analysis of multi-point and multi-time correlations
• Order in glassy systems
• Analysis of a growing dynamic length scale in a glass-forming binary hard-sphere mixture
• Growing static and dynamic length scales in a glass-forming liquid
• Direct Estimate of the Static Length-Scale Accompanying the Glass Transition
• Tuning the fragility of a glassforming liquid by curving space
• Dynamic heterogeneities above and below the mode-coupling temperature. Evidence of a dynamic crossover
• Random Pinning Glass Transition: Hallmarks, Mean-Field Theory and Renormalization Group Analysis
• Direct Identification of the Glass Transition: Growing Length Scale and the Onset of Plasticity
• Characterizing order in amorphous systems
• Geometrical Frustration and Static Correlations in Hard-Sphere Glass Formers
• Random pinning in glassy spin models with plaquette interactions
• Using mutual information to measure order in model glass-formers
• Comment: Characterizing dynamic length scales in glass forming liquids
• Anisotropic spatially heterogeneous dynamics on the $\alpha$ and $\beta$ relaxation time scales studied via a four-point correlation function
• Effect of attractions on correlation length scales in a glass-forming liquid
• Dynamics and correlation length scales of a glass-forming liquid in quiescent and sheared conditions

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• Configurational entropy measurements in extremely supercooled liquids that break the glass ceiling
• Direct measurements of growing amorphous order and non-monotonic dynamic correlations in a colloidal glass-former
• Theories of Glass Formation and the Glass Transition
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• Lifetimes and Lengthscales of Structural Motifs in a Model Glassformer
• Strong geometric frustration in model glassformers
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• Assessing the role of static lengthscales behind glassy dynamics in polydisperse hard disks
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• Point-to-set lengths, local structure, and glassiness
• Dimensional dependence of the Stokes--Einstein relation and its violation
• Crossovers in the dynamics of supercooled liquids probed by an amorphous wall
• From glass formation to icosahedral ordering by curving three-dimensional space
• Locally favoured structures and dynamic length scales in a simple glass-former
• Experimental evidence of a crossover between cooperative relaxation and liquid growth dynamics
• Dynamical facilitation governs glassy dynamics in suspensions of colloidal ellipsoids
• Efficient measurement of point-to-set correlations and overlap fluctuations in glass-forming liquids
• The nature of geometric frustration in the Kob-Andersen mixture
• Roles of liquid structural ordering in glass transition, crystallization, and water's anomalies
• Confinement as a tool to probe amorphous order
• Dynamical and structural signatures of the glass transition in emulsions
• Block Analysis for the Calculation of Dynamic and Static Length Scales in Glass-Forming Liquids
• Dynamical correlations in a glass-former with randomly pinned particles
• Dynamic heterogeneity at the experimental glass transition predicted by transferable machine learning
• Heterogeneous dynamics and its length scale in simple ionic liquid models: A computational study
• Recasting a model atomistic glassformer as a system of icosahedra
• Linking dynamical heterogeneity to static amorphous order
• Collective relaxation dynamics in a three-dimensional lattice glass model
• Simple physics of the partly pinned fluid systems
• A self-consistent field theory of density correlations in classical fluids
• Glassy phases of the Gaussian Core Model
• Enhanced diffusion in finite-size simulations of a fragile diatomic glass former
• Creating equilibrium glassy states via random particle bonding
• Universal behaviour of the glass and the jamming transitions in finite dimensions
• The potential energy landscape and inherent dynamics of a hard-sphere fluid
• Probing Local Structure in Glass by the Application of Shear
• Characterising the slow dynamics of the swap Monte Carlo algorithm
• Yielding of a Model Glassformer: an Interpretation with an Effective System of Icosahedra
• Free-energy functional of instantaneous correlation field in liquids: field-theoretic derivation of the closures
• Computational Methods toward Ultrastable Glasses
• Configurational Entropy of Self Propelled Glass Formers