The Shapes of Cooperatively Rearranging Regions in Glass Forming Liquids

Abstract

The shapes of cooperatively rearranging regions in glassy liquids change from being compact at low temperatures to fractal or ``stringy'' as the dynamical crossover temperature from activated to collisional transport is approached from below. We present a quantitative microscopic treatment of this change of morphology within the framework of the random first order transition theory of glasses. We predict a correlation of the ratio of the dynamical crossover temperature to the laboratory glass transition temperature, and the heat capacity discontinuity at the glass transition, Delta C_p. The predicted correlation agrees with experimental results for the 21 materials compiled by Novikov and Sokolov.

9 pages, 6 figures

References in corpus (3)

• Direct experimental evidence of a growing length scale accompanying the glass transition
• Activated events in glasses: the structure of entropic droplets
• Metastable States, Relaxation Times and Free-energy Barriers in Finite Dimensional Glassy Systems

Cited by in corpus (74)

• Theoretical perspective on the glass transition and amorphous materials
• Theory of Structural Glasses and Supercooled Liquids
• The role of local structure in dynamical arrest
• Thermodynamic signature of growing amorphous order in glass-forming liquids
• Modeling the mechanics of amorphous solids at different length and time scales
• 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
• Non-monotonic temperature evolution of dynamic correlations in glass-forming liquids
• Fifth-order susceptibility unveils growth of thermodynamic amorphous order in glass-formers
• Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
• Thermodynamic behavior of supercritical matter
• Direct measurements of growing amorphous order and non-monotonic dynamic correlations in a colloidal glass-former
• A universal origin for secondary relaxations in supercooled liquids and structural glasses
• Thirty milliseconds in the life of a supercooled liquid
• Universal features of dynamic heterogeneity in supercooled liquids
• Mosaic multi-state scenario vs. one-state description of supercooled liquids
• Correlation between Fragility and the Arrhenius Crossover Phenomenon in Metallic, Molecular, and Network Liquids
• Growing Dynamical Facilitation on Approaching the Random Pinning Colloidal Glass Transition
• Cooperative Strings and Glassy Interfaces
• The structural origin of the hard-sphere glass transition in granular packing
• Structural Dependence of the Molecular Mobility in the Amorphous Fractions of Polylactide
• The Ultimate Fate of Supercooled Liquids
• A Novel Route to Calculate the Length Scale for the Glass Transition in Polymers
• Theory of the Structural Glass Transition: A Pedagogical Review
• Predicting dynamic heterogeneity in glass-forming liquids by physics-inspired machine learning
• Comparison of Static Length-Scales Characterizing the Glass Transition
• On the Strength of Glasses
• Gaussian excitations model for glass-former dynamics and thermodynamics
• Deconstructing the glass transition through critical experiments on colloids
• Microscopic Structural Relaxation in a Sheared Supercooled Colloidal Liquid
• Crossovers in the dynamics of supercooled liquids probed by an amorphous wall
• Local structural excitations in model glasses
• Locally favoured structures and dynamic length scales in a simple glass-former
• Matching microscopic and macroscopic responses in glasses
• Shape of Dynamical Heterogeneities and the Stokes-Einstein and Stokes-Einstein-Debye Relations in Suspensions of Colloidal Ellipsoids
• Constructing explicit magnetic analogies for the dynamics of glass forming liquids
• Direct evidence of void induced structural relaxations in colloidal glass formers
• Non-linear dynamic response of glass-forming liquids to random pinning
• Glassy dynamics as a melting process (On melting dynamics and the glass transition, Part II)
• Differential Variance Analysis of soft glassy materials: a direct method to quantify and visualize dynamic heterogeneities
• Growing Surface Tension of Amorphous-Amorphous Interfaces on Approaching the Colloidal Glass Transition
• Thermal origin of quasi-localised excitations in glasses
• Anisotropic spatially heterogeneous dynamics on the $\alpha$ and $\beta$ relaxation time scales studied via a four-point correlation function
• Correlation between crystalline order and vitrification in colloidal monolayers
• Unifying different interpretations of the nonlinear response in glass-forming liquids
• Deformation of inherent structures to detect long-range correlations in supercooled liquids
• Non-monotonic dynamic correlations beneath the surface of glass-forming liquids
• Fluctuations and Shape of Cooperative Rearranging Regions in Glass-Forming Liquids
• Recasting a model atomistic glassformer as a system of icosahedra
• Microscopic theory of the glassy dynamics of passive and active network materials
• Local Plastic Response and Slow Heterogeneous Dynamics of Supercooled Liquids
• Strain-controlled critical slowing down in the rheology of disordered networks
• Time reparametrization symmetry in spin glass models
• Cooperative strings and glassy dynamics in various confined geometries
• From entropic to energetic barriers in glassy dynamics: The Barrat-Mézard trap model on sparse networks
• Fragile-to-Strong Crossover, growing length scales, and dynamic heterogeneity in Wigner Glasses
• Model Energy Landscapes of Low-Temperature Fluids: Dipolar Hard Spheres
• Universal behaviour of the glass and the jamming transitions in finite dimensions
• Connecting microscopic simulations with kinetically constrained models of glasses
• Third and Fifth Harmonic Responses in Viscous Liquids
• Concentrated suspensions of Brownian beads in water: dynamic heterogeneities trough a simple experimental technique
• Influence of an amorphous wall on the distribution of localized excitations in a colloidal glass-forming liquid
• Emergence of cooperatively reorganizing cluster and super-Arrhenius dynamics of fragile supercooled liquids
• Surface melting of a colloidal glass
• Density Functional Theory for Protein Transfer Free Energy
• Following microscopic motion in a two dimensional glass-forming binary fluid
• Metric characterization of cluster dynamics on the Sierpinski gasket
• Evidence for compact cooperatively rearranging regions in a supercooled liquid
• Statistics of Thermal Avalanches in Driven Amorphous Systems
• Probing the Local Response of Glass-forming Liquids by Laser Excitations
• Amorphous Order & Non-linear Susceptibilities in Glassy Materials
• Static self-induced heterogeneity in glass-forming liquids: Overlap as a microscope
• Propagating rotational jump events drive liquid-liquid transition in supercooled liquid water
• Surface relaxation of vapour-depositing colloidal glasses