Length scale for the onset of Fickian diffusion in supercooled liquids

Abstract

The interplay between self-diffusion and excitation lines in space-time was recently studied in kinetically constrained models to explain the breakdown of the Stokes-Einstein law in supercooled liquids. Here, we further examine this interplay and its manifestation in incoherent scattering functions. In particular, we establish a dynamic length scale below which Fickian diffusion breaks down, as is observed in experiments and simulations. We describe the temperature dependence of this length scale in liquids of various fragilities, and provide analytical estimates for the van Hove and self-intermediate scattering functions.

arXiv commentv3: final version

References in corpus (10)

• Dynamical heterogeneities in a supercooled Lennard-Jones liquid
• Glassy dynamics of kinetically constrained models
• Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
• Coarse-grained microscopic model of glass formers
• Crossover to Potential Energy Landscape Dominated Dynamics in a Model Glass-forming Liquid
• Excitation lines and the breakdown of Stokes-Einstein relations in supercooled liquids
• Time and length scales in supercooled liquids
• Dynamic criticality in glass-forming liquids
• Real space origin of temperature crossovers in supercooled liquids
• Non-topographic description of inherent structure dynamics in glass formers

Cited by in corpus (85)

• Theoretical perspective on the glass transition and amorphous materials
• The Physics of the Colloidal Glass Transition
• Dynamics on the Way to Forming Glass: Bubbles in Space-time
• Universal nature of particle displacements close to glass and jamming transitions
• Perspective: The Glass Transition
• Bond orientational ordering in liquids: Towards a unified description of water-like anomalies, liquid-liquid transition, glass transition, and crystallization
• What do we learn from the shape of the dynamical susceptibility of glass-formers?
• Fractional Stokes-Einstein and Debye-Stokes-Einstein relations in a network forming liquid
• Nature of the Breakdown in the Stokes-Einstein Relationship in a Hard Sphere Fluid
• Modeling tumor cell migration: from microscopic to macroscopic
• Hyperuniform density fluctuations and diverging dynamic correlations in periodically driven colloidal suspensions
• Relaxation in a glassy binary mixture: Comparison of the mode-coupling theory to a Brownian dynamics simulation
• Clustering and heterogeneous dynamics in a kinetic Monte-Carlo model of self-propelled hard disks
• Coupling/decoupling between translational and rotational dynamics in a supercooled molecular liquid
• Lengthscale dependence of dynamic four-point susceptibilities in glass formers
• Heterogeneity and growing lengthscales in the dynamics of kinetically constrained lattice gases in two dimensions
• De-coupling of Exchange and Persistence Times in Atomistic Models of Glass Formers
• Multiple length and time scales of dynamic heterogeneities in model glass-forming liquids: A systematic analysis of multi-point and multi-time correlations
• An introduction to the colloidal glass transition
• Analysis of a growing dynamic length scale in a glass-forming binary hard-sphere mixture
• Critical fluctuations and breakdown of Stokes-Einstein relation in the Mode-Coupling Theory of glasses
• Dynamic heterogeneity and non-Gaussian behavior in a model supercooled liquid
• Connections of activated hopping processes with the breakdown of the Stokes-Einstein relation and with aspects of dynamical heterogeneities
• Particle jumps in structural glasses
• Dynamics of particles and cages in an experimental 2D glass former
• Subdiffusion and intermittent dynamic fluctuations in the aging regime of concentrated hard spheres
• Revisiting the slow dynamics of a silica melt using Monte Carlo simulations
• Renormalization group study of a kinetically constrained model for strong glasses
• Mean field theory of the swap Monte Carlo algorithm
• Dimensional dependence of the Stokes--Einstein relation and its violation
• A random walk description of the heterogeneous glassy dynamics of attracting colloids
• Dynamic phase coexistence in glass-forming liquids
• Fragility, Stokes-Einstein violation, and correlated local excitations in a coarse-grained model of an ionic liquid
• Time scale for the onset of Fickian diffusion in supercooled liquids
• Length scale dependence of the Stokes-Einstein and Adam-Gibbs relations in model glass formers
• Non-Gaussianity of van Hove Function and Dynamic Heterogeneity Length Scale
• Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems?
• Dynamical Heterogeneity in Lattice Glass Models
• Determination of onset temperature from the entropy for fragile to strong liquids
• Fickian crossover and lengthscales from two point functions in supercooled liquids
• Non-equilibrium dynamics of spin facilitated glass models
• Scaling Description of Dynamical Heterogeneity and Avalanches of Relaxation in Glass-Forming Liquids
• Thermodynamics of Coarse Grained Models of Super-Cooled Liquids
• Criticality and correlated dynamics at the irreversibility transition in periodically driven colloidal suspensions
• From coupled elementary units to the complexity of the glass transition
• Anomalous diffusion and stretched exponentials in heterogeneous glass-forming liquids: Low-temperature behavior
• Comparative classical and ab initio Molecular Dynamics study of molten and glassy germanium dioxide
• Cage-jump motion reveals universal dynamics and non-universal structural features in glass forming liquids
• Lifetime of dynamic heterogeneity in strong and fragile kinetically constrained spin models
• A Physically-informed Graph-based Order Parameter for the Universal Characterization of Atomic Structures
• Connecting short and long time dynamics in hard-sphere-like colloidal glasses
• Tracking heterogeneous dynamics during the alpha-relaxation of a simple glass-former
• Spatial correlations of elementary relaxation events in glass-forming liquids
• Diffusion dynamics of supercooled water modeled with the cage-jump motion and hydrogen-bond rearrangement
• Decoupling of translational and rotational diffusion in quasi-2D colloidal fluids
• Intermittent relaxation and avalanches in extremely persistent active matter
• Field-induced superdiffusion and dynamical heterogeneity
• Heterogeneous dynamics and its length scale in simple ionic liquid models: A computational study
• Front propagation in ultrastable glasses is dynamically heterogeneous
• How coupled elementary units determine the dynamics of macroscopic glass-forming systems
• Out of equilibrium dynamics of the spiral model
• Is there a fractional breakdown of the Stokes-Einstein relation in Kinetically Constrained Models at low temperature?
• Dynamical heterogeneity in a glass forming ideal gas
• Properties of ideal Gaussian glass-forming systems
• Microrheology of supercooled liquids in terms of a continuous time random walk
• Structure and dynamics of coupled viscous liquids
• Dynamic propensity in a kinetically constrained lattice gas
• Are supercooled liquids Fickian yet non Gaussian?
• Transient subdiffusion from an Ising environment
• Static and Dynamic Properties of Two Dimensional Coulomb Clusters
• The potential energy landscape and inherent dynamics of a hard-sphere fluid
• Continuous time random walk concepts applied to extended mode coupling theory: A study of the Stokes-Einstein breakdown
• Efficient $d$-dimensional molecular dynamics simulations for studies of the glass-jamming transition
• Characterising the slow dynamics of the swap Monte Carlo algorithm
• Dynamic Heterogeneity in Crossover Spin Facilitated Model of Supercooled Liquid and Fractional Stokes-Einstein Relation
• Transport properties of diffusive particles conditioned to survive in trapping environments
• Rotational correlation and dynamic heterogeneity in a kinetically constrained lattice gas
• Limiting energy dissipation induces glassy kinetics in single cell high precision responses
• Molecular motion at the experimental glass transition
• Subdiffusive motion in kinetically constrained models
• Study of the upper-critical dimension of the East model through the breakdown of the Stokes-Einstein relation
• Anomalous relaxation in binary mixtures: a dynamic facilitation picture
• Mean-squared Energy Difference for Exploring Potential Energy Landscapes of Supercooled Liquids
• Negative differential mobility of weakly driven particles in models of glass formers
• How to quantify long-time rotational motion in molecular systems