Scaling behavior in the $\beta$-relaxation regime of a supercooled Lennard-Jones mixture

Abstract

We report the results of a molecular dynamics simulation of a supercooled binary Lennard-Jones mixture. By plotting the self intermediate scattering functions vs. rescaled time, we find a master curve in the $\beta$-relaxation regime. This master curve can be fitted well by a power-law for almost three decades in rescaled time and the scaling time, or relaxation time, has a power-law dependence on temperature. Thus the predictions of mode-coupling-theory on the existence of a von Schweidler law are found to hold for this system; moreover, the exponents in these two power-laws are very close to satisfying the exponent relationship predicted by the mode-coupling-theory. At low temperatures, the diffusion constants also show a power-law behavior with the same critical temperature. However, the exponent for diffusion differs from that of the relaxation time, a result that is in disagreement with the theory.

8 pages, RevTex, four postscript figures available on request, MZ-Physics-100

Cited by in corpus (324)

• Theoretical perspective on the glass transition and amorphous materials
• Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture I: The van Hove Correlation Function
• Dynamical heterogeneities in a supercooled Lennard-Jones liquid
• String-like Clusters and Cooperative Motion in a Model Glass-Forming Liquid
• Direct experimental evidence of a growing length scale accompanying the glass transition
• Supercooled Liquids for Pedestrians
• Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture II: Intermediate Scattering Function and Dynamic Susceptibility
• Dynamics on the Way to Forming Glass: Bubbles in Space-time
• Spatial Correlations of Mobility and Immobility in a Glassforming Lennard-Jones Liquid
• Spin-Glass Theory for Pedestrians
• Static and Dynamic Properties of a Viscous Silica Melt Molecular Dynamics Computer Simulations
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Models and algorithms for the next generation of glass transition studies
• "Isomorphs" in liquid state diagrams
• Pressure-energy correlations in liquids. IV. "Isomorphs" in liquid state diagrams
• What do we learn from the shape of the dynamical susceptibility of glass-formers?
• Two liquid states of matter: A new dynamic line on a phase diagram
• Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
• Spontaneous and induced dynamic fluctuations in glass-formers I: General results and dependence on ensemble and dynamics
• Saddles in the energy landscape probed by supercooled liquids
• Ideal glass-glass transitions and logarithmic decay of correlations in a simple system
• Dynamics of simulated water under pressure
• Time and length scales in supercooled liquids
• Pressure-energy correlations in liquids. I. Results from computer simulations
• How does the relaxation of a supercooled liquid depend on its microscopic dynamics?
• Neutron Scattering Studies of the Model Glass Former Ortho-terphenyl
• Computer Simulations of Supercooled Liquids and Glasses
• Shifted forces in molecular dynamics
• Saddle Points and Dynamics of Lennard-Jones Clusters, Solids and Supercooled Liquids
• Grain Boundary Motion Exhibits the Dynamics of Glass-Forming Liquids
• Energy landscape of a Lennard-Jones liquid: Statistics of stationary points
• Controlling crystallization and its absence: Proteins, colloids and patchy models
• Strong pressure-energy correlations in van der Waals liquids
• Dynamic criticality in glass-forming liquids
• Pressure-energy correlations in liquids. II. Analysis and consequences
• Some Finite Size Effects in Simulations of Glass Dynamics
• Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
• Growing spatial correlations of particle displacements in a simulated liquid on cooling toward the glass transition
• Nature of the Breakdown in the Stokes-Einstein Relationship in a Hard Sphere Fluid
• Fundamental differences between glassy dynamics in two and three dimensions
• How do the properties of a glass depend on the cooling rate? A computer simulation study of a Lennard-Jones system
• Nonperturbative effect of attractive forces in viscous liquids
• Dynamics of the rotational degrees of freedom in a supercooled liquid of diatomic molecules
• A quantitative test of the mode-coupling theory of the ideal glass transition for a binary Lennard-Jones system
• Thermodynamic behavior of supercritical matter
• The Monte-Carlo dynamics of a binary Lennard-Jones glass-forming mixture
• Perspective: Nonequilibrium glassy dynamics in dense systems of active particles
• Configurational entropy measurements in extremely supercooled liquids that break the glass ceiling
• The thermodynamical liquid-glass transition in a Lennard-Jones binary mixture
• Breakdown of the Stokes-Einstein relation in two, three and four dimensions
• Glassy dynamics of athermal self-propelled particles: Computer simulations and a nonequilibrium microscopic theory
• Relaxation in a glassy binary mixture: Comparison of the mode-coupling theory to a Brownian dynamics simulation
• Quasi-binary amorphous phase in a 3D system of particles with repulsive-shoulder interactions
• Real space origin of temperature crossovers in supercooled liquids
• Atomic Transport in Dense, Multi-Component Metallic Liquids
• Structure and dynamics in glass-formers: predictability at large length scales
• The nonequilibrium glassy dynamics of self-propelled particles
• Beyond power-law density scaling: Theory, Simulation, and Experiment
• Pressure-energy correlations in liquids. V. Isomorphs in generalized Lennard-Jones systems
• A repulsive reference potential reproducing the dynamics of a liquid with attractions
• Dynamical Heterogeneities Below the Glass Transition
• Tagged-particle dynamics in a hard-sphere system: mode-coupling theory analysis
• The relaxation dynamics of a viscous silica melt: II The intermediate scattering functions
• Fluctuation dissipation ratio in an aging Lennard-Jones glass
• Astromaterial Science and Nuclear Pasta
• Universal features of dynamic heterogeneity in supercooled liquids
• Fluctuation-dissipation relation in a sheared fluid
• Coupling/decoupling between translational and rotational dynamics in a supercooled molecular liquid
• Correlation of Local Order with Particle Mobility in Supercooled Liquids is Highly System Dependent
• Alpha-Relaxation Processes in Binary Hard-Sphere Mixtures
• Relaxation Scenarios in a Mixture of Large and Small Spheres: Dependence on the Size Disparity
• Relaxation in a glassy binary mixture: Mode-coupling-like power laws, dynamic heterogeneity and a new non-Gaussian parameter
• Corresponding States of Structural Glass Formers. II
• The role of attractive forces in viscous liquids
• Formation and growth of shear bands in glasses: existence of an underlying directed percolation transition
• Mixing effects for the structural relaxation in binary hard-sphere liquids
• Activity controls fragility: A Random First Order Transition Theory for an active glass
• Anomalous Dynamic Arrest in a Mixture of Big and Small Particles
• Active fluidization in dense glassy systems
• Model Vapor-Deposited Glasses: Growth Front and Composition Effects
• Finite size effects in the dynamics of glass-forming liquids
• Machine Learning for Condensed Matter Physics
• Cooperativity Beyond Caging: Generalized Mode Coupling Theory
• Influence of the glass transition on the liquid-gas spinodal decomposition
• A critical test of the mode-coupling theory of the glass transition
• The favoured cluster structures of model glass formers
• Nanometer Scale Dielectric Fluctuations at the Glass Transition
• Highly accelerated simulations of glassy dynamics using GPUs: caveats on limited floating-point precision
• Lennard-Jones binary mixture: a thermodynamical approach to glass transition
• A theory for the dynamics of dense systems of athermal self-propelled particles
• Thermodynamics of condensed matter with strong pressure-energy correlations
• Intermittent dynamics and logarithmic domain growth during the spinodal decomposition of a glass-forming liquid
• Complexity of waves in nonlinear disordered media
• Single Particle Jumps in a Binary Lennard-Jones System Below The Glass Transition
• 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
• Dynamic Entropy as a Measure of Caging and Persistent Particle Motion in Supercooled Liquids
• Assessing the structural heterogeneity of supercooled liquids through community inference
• Role of the unstable directions in the equilibrium and aging dynamics of supercooled liquids
• Introduction to molecular dynamics simulations
• The Perfect Glass Paradigm: Disordered Hyperuniform Glasses Down to Absolute Zero
• Evidence for the weak steric hindrance scenario in the supercooled-state reorientational dynamics
• Probing the non-Debye low frequency excitations in glasses through random pinning
• Constrained dynamics of localized excitations causes a non-equilibrium phase transition in an atomistic model of glass formers
• Efficient measurement of linear susceptibilities in molecular simulations: Application to aging supercooled liquids
• Dynamic heterogeneities above and below the mode-coupling temperature. Evidence of a dynamic crossover
• Elastic avalanches reveal marginal behaviour in amorphous solids
• Mode-coupling theory of the glass transition for confined fluids
• Revisiting the slow dynamics of a silica melt using Monte Carlo simulations
• Distribution of Diffusion Constants and Stokes-Einstein Violation in supercooled liquids
• Deconstructing the glass transition through critical experiments on colloids
• Universal divergenceless scaling between structural relaxation and caged dynamics in glass-forming systems
• Non-Equilibrium Phase Transition in an Atomistic Glassformer: the Connection to Thermodynamics
• Yield Stress Discontinuity in a Simple Glass
• Emergence of molecular friction in liquids: bridging between the atomistic and hydrodynamic pictures
• Probing the degree of heterogeneity within a shear band of a model glass
• Feasibility of single-order parameter description of equilibrium viscous liquid dynamics
• General features of the energy landscape in Lennard-Jones like model liquids
• Test of mode coupling theory for a supercooled liquid of diatomic molecules. II. q-dependent orientational correlators
• Dynamic phase coexistence in glass-forming liquids
• Vibrations in glasses and Euclidean Random Matrix theory
• Structural relaxation and rheological response of a driven amorphous system
• Time scale for the onset of Fickian diffusion in supercooled liquids
• Testing "microscopic" theories of glass-forming liquids
• Revealing the Link between Structural Relaxation and Dynamic Heterogeneity in Glass-Forming Liquids
• Length scale dependence of the Stokes-Einstein and Adam-Gibbs relations in model glass formers
• Soft particles at liquid interfaces: From molecular particle architecture to collective phase behavior
• Qualitative Features at the Glass Crossover
• Four-point susceptibility of a glass-forming binary mixture: Brownian dynamics
• Local versus global stretched mechanical response in a supercooled liquid near the glass transition
• Structural relaxation in a system of dumbbell molecules
• Dynamical transition in the D = 3 Edwards-Anderson spin glass in an external magnetic field
• Predicting The Effective Temperaure of a Glass
• Heterogeneities in the Glassy State
• Equilibrium ultrastable glasses produced by random pinning
• Long-wavelength fluctuations and anomalous dynamics in two-dimensional liquids
• Constructing explicit magnetic analogies for the dynamics of glass forming liquids
• Macroscopic glassy relaxations and microscopic motions in a Frustrated Lattice Gas
• Numerical and Theoretical Study of a Monodisperse Hard-Sphere Glass Former
• Slow dynamics of a confined supercooled binary mixture: direct space analysis
• Strongly correlating liquids and their isomorphs
• Nonequilibrium static growing length scales in supercooled liquids on approaching the glass transition
• Heterogeneous dynamics during yielding of glasses: effect of aging
• Efficient measurement of point-to-set correlations and overlap fluctuations in glass-forming liquids
• Length scales in Brownian yet non-Gaussian dynamics
• Critical Phenomena in Active Matter
• Non-Gaussianity of van Hove Function and Dynamic Heterogeneity Length Scale
• Dimensionality reduction of local structure in glassy binary mixtures
• Slow Dynamics of the High Density Gaussian Core Model
• Glassy swirls of active dumbbells
• Aging in a simple glassformer
• Determination of onset temperature from the entropy for fragile to strong liquids
• Study of the Depolarized Light Scattering Spectra of Supercooled Liquids by a Simple Mode-Coupling Model
• Isomorph invariance of Couette shear flows simulated by the SLLOD equations of motion
• Scaling of Volumetric Data in Model Systems Based on the Lennard-Jones Potential
• Crystallisation Instability in Glassforming Mixtures
• Viscoelastic shear stress relaxation in two-dimensional glass forming liquids
• Mode coupling theory for multi-point and multi-time correlation functions
• Glassy Dynamics in Chiral Fluids
• Anisotropic Local Stress and Particle Hopping in a Deeply Supercooled Liquid
• Probing the glass transition from structural and vibrational properties of zero-temperature glasses
• Dynamical heterogeneity in soft particle suspensions under shear
• Non-affine deformations of inherent structure as signature of cooperativity in supercooled liquids
• Nucleation instability in super-cooled Cu-Zr-Al glass-forming liquids
• Mode Coupling relaxation scenario in a confined glass former
• Cage Length Controls the Non-Monotonic Dynamics of Active Glassy Matter
• Diffusive regimes in a two-dimensional chiral fluid
• Mechanical Failure in Amorphous Solids: Scale Free Spinodal Criticality
• Characteristics of the Johari-Goldstein process in rigid asymmetric molecules
• Do the repulsive and attractive pair forces play separate roles for the physics of liquids?
• Anomalous diffusion and stretched exponentials in heterogeneous glass-forming liquids: Low-temperature behavior
• Sampling efficiency of transverse forces in dense liquids
• Efficient Monte Carlo simulation of a glass forming binary mixture
• The distance between Inherent Structures and the influence of saddles on approaching the mode coupling transition in a simple glass former
• Diffusion and viscosity in a supercooled polydisperse system
• Cooling rate dependence of the internal structure of a Lennard-Jones glass
• Chemical Potential Calculations In Dense Liquids Using Metadynamics
• On the liquid-glass transition line in monatomic Lennard-Jones fluids
• Dynamic heterogeneities in attractive colloids
• Fluctuation Relation beyond Linear Response Theory
• Saddles in the energy landscape: extensivity and thermodynamic formalism
• Role of attractive forces in the relaxation dynamics of supercooled liquids
• Breakdown of Nonlinear Elasticity in Amorphous Solids at Finite Temperatures
• Investigation of the relation between local diffusivity and local inherent structures in the Kob-Andersen Lennard-Jones model
• Re-entrant behavior of relaxation time with viscosity at varying composition in binary mixtures
• Tagged-particle motion in a dense confined liquid
• On the stupendous beauty of closure
• Activation Volume in the Density Scaling Regime: Equation of State and Its Test by Using Experimental and Simulation Data
• Model for Glass Transition in a Binary fluid from a Mode Coupling approach
• Aging in a Structural Glass
• Equilibrium and non-equilibrium fluctuations in a glass-forming liquid
• The structural relaxation of molten sodium disilicate
• Alloy, Janus and core-shell nanoparticles: Numerical modeling of their nucleation and growth in physical synthesis
• Structure and glass-forming ability of simulated Ni-Zr alloys
• Time Scales for transitions between free energy minima of a hard sphere system
• Equilibration times in numerical simulation of structural glasses: Comparing parallel tempering and conventional molecular dynamics
• Long-range strain correlations in 3D quiescent glass forming liquids
• Combining Machine Learning and Physics to Understand Glassy Systems
• A simple diatomic potential that prevents crystallization in supercooled liquids simulations
• Non-monotonic effect of confinement on the glass transition
• Volume-energy correlations in the slow degrees of freedom of computer-simulated phospholipid membranes
• Correlated volume-energy fluctuations of phospholipid membranes: A simulation study
• A dynamical relation between dual finite temperature classical and zero temperature quantum systems: quantum critical jamming and quantum dynamical heterogeneities
• Understanding Stokes-Einstein Relation in Supercooled Liquids using Random Pinning
• On mean-field theories of dynamics in supercooled liquids
• Nonequilibrium mode-coupling theory for uniformly sheared underdamped systems
• Self-Organized Criticality Below The Glass Transition
• Exponential distributions of collective flow-event properties in viscous liquid dynamics
• Slow dynamics of a confined supercooled binary mixture II: Q space analysis
• Relaxation dynamics in a binary hard-ellipse liquid
• Equation of state in the generalized density scaling regime studied from ambient to ultra-high pressure conditions
• Concentration and mass dependence of transport coefficients and correlation functions in binary mixtures with high mass-asymmetry
• Crossover from $\beta$- to $\alpha$-relaxation in cooperative facilitation dynamics
• Identifying structural signature of dynamical heterogeneity via the local softness parameter
• Properties of Kinetic Transition Networks for Atomic Clusters and Glassy Solids
• Dynamic heterogeneity of glass-forming liquids in the density scaling regime
• Glassy dynamics in confinement: Planar and bulk limit of the mode-coupling theory
• Multi-component generalized mode-coupling theory: Predicting dynamics from structure in glassy mixtures
• What can be learned from the schematic mode-coupling approach to experimental data ?
• A single saddle model for the beta-relaxation in supercooled liquids
• Shearing small glass-forming systems: a potential energy landscape perspective
• Structural signatures of ultrastability in a deposited glassformer
• Saddles and softness in simple model liquids
• Isomorphs in the phase diagram of a model liquid without inverse power law repulsion
• Possible Universal Relation Between Short time $\beta$-relaxation and Long time $\alpha$-relaxation in Glass-forming Liquids
• Flow heterogeneities in supercooled liquids and glasses under shear
• Density of States below the First Sound Mode in 3D Glasses
• Microscopic models of mode-coupling theory: the $F_{12}$ scenario
• Inherent Structures, Configurational Entropy and Slow Glassy Dynamics
• Supercooled Lennard-Jones Liquids and Glasses: a Kinetic Monte Carlo Approach
• Waiting-time dependent non-equilibrium phase diagram of simple glass- and gel-forming liquids
• Manifestation of Random First Order Transition theory in Wigner glasses
• Role of structure in the alpha and beta dynamics of a simple glass-forming liquid
• Revisiting the Concept of Activation in Supercooled Liquids
• Dynamics in the Metabasin Space of a Lennard-Jones Glass Former: Connectivity and Transition Rates
• Mode-coupling theory for mixtures of athermal self-propelled particles
• A small subset of normal modes mimics the properties of dynamical heterogeneity in a model supercooled liquid
• Connecting real glasses to mean-field models
• To make a glass - avoid the crystal
• Dynamics of the frustrated Ising lattice gas
• Generalized Fluctuation-Dissipation Relation and Effective Temperature upon Heating a Deeply Supercooled Liquid
• A fluctuation relation for weakly ergodic aging systems
• Generalized Mode-Coupling Theory for Mixtures of Brownian Particles
• Participation in the Johari-Goldstein Process - Molecular Liquids versus Polymers
• Mode coupling behavior of a Lennard Jones binary mixture: a comparison between bulk and confined phases
• Weak links between fast mobility and local structure in molecular and atomic liquids
• Low-Frequency Vibrational States in Ideal Glasses with Random Pinning
• Local Plastic Response and Slow Heterogeneous Dynamics of Supercooled Liquids
• Linking dynamical heterogeneity to static amorphous order
• Structural Probe of a Glass Forming Liquid: Generalized Compressibility
• Profile blunting and flow blockage in a yield stress fluid: A molecular dynamics study
• Inherent Structures and Kauzmann Temperature of Confined Liquids
• The variation of the dynamic susceptibility along an isochrone
• Cooling Rate Dependence and Dynamic Heterogeneity Below the Glass Transition in a Lennard-Jones Glass
• Distributions of pore sizes and atomic densities in binary glasses revealed by molecular dynamics simulations
• Universal mechanism of shear thinning in supercooled liquids
• Breakdown of Nonlinear Elasticity in Stress-Controlled Thermal Amorphous Solids
• Excess Vibrational Density of States and the Brittle to Ductile Transition in Crystalline and Amorphous Solids
• The correlation between fragility, density and atomic interaction in glass-forming liquids
• Instabilities of Time-averaged Configurations in Thermal Glasses
• Coarse-Graining of Microscopic Dynamics into Mesoscopic Transient Potential Model
• How attractive and repulsive interactions affect structure ordering and dynamics of glass-forming liquids?
• Predicting scaling properties from a single fluid configuration
• Dead or alive: Distinguishing active from passive particles using supervised learning
• The Influence of Particle Softness on Active Glassy Dynamics
• Dynamical properties of densely packed confined hard-sphere fluids
• Anomalous diffusion in heterogeneous glass-forming liquids: Temperature-dependent behavior
• Mechanical Properties and Plasticity of a Model Glass Loaded Under Stress Control
• Particle pinning suppresses spinodal criticality in the shear banding instability
• Structure, compressibility factor and dynamics of highly size-asymmetric binary hard-disk liquids
• Single-file and normal diffusion of magnetic colloids in modulated channels
• Scaling equations for mode-coupling theories with multiple decay channels
• Connecting Relaxation Time to a Dynamical Length Scale in Athermal Active Glass Formers
• Statistics of Plastic Events in Post-Yield Strain-Controlled Amorphous Solids
• Structural Covariance in the Hard Sphere Fluid
• Low temperature behaviour and glass line of the symmetrical colloidal electrolyte
• Wall effects on spatial correlations of non-affine strain in a 3D model glass
• Density effects in a bulk binary Lennard-Jones system
• Gauge invariance and hyperforce correlation theory for equilibrium fluid mixtures
• Computer Simulations and Mode-Coupling Theory of Glass-Forming Confined Hard-Sphere Fluids
• Precursors of the Spin Glass Transition in Three Dimensions
• Scaling behavior in the dynamics of a supercooled Lennard-Jones mixture
• Phase transition in peristaltic transport of frictionless granular particles
• Pair dynamics in a glass forming binary mixture: Simulations and theory
• Zero-gravity thermal convection in granular gases
• Glass formation in mechanically interlocked ring polymers: the role of induced chain stiffness
• Emergence of cooperatively reorganizing cluster and super-Arrhenius dynamics of fragile supercooled liquids
• Kinetic stability and energetics of simulated glasses created by constant pressure cooling
• Automated characterization of spatial and dynamical heterogeneity in supercooled liquids via implementation of Machine Learning
• A simple model for dynamic heterogeneity in glass-forming liquids
• Spatial modulation of the composition of a binary liquid near a repulsive wall
• A lattice mesoscopic model of dynamically heterogeneous fluids
• Clever algorithms for glasses work by time reparametrization
• Thermodynamics and Dynamics of a Monoatomic Glass-Former. Constant Pressure and Constant Volume Behavior
• Glass Transition in Monolayers of Rough Colloidal Ellipsoids
• Tagged particle dynamics in supercooled quantum liquid
• Heat-induced liquid hovering in liquid-gas coexistence under gravity
• Maintaining the equipartition theorem in small heterogeneous molecular dynamics ensembles
• Exploring the Relationship Between Softness and Excess Entropy in Glass-forming Systems
• Isomorph invariance of dynamics of sheared glassy systems
• Replica symmetry breaking in spin glasses in the replica-free Keldysh formalism
• Structural relaxation in quantum supercooled liquids: A mode-coupling approach
• Three-point susceptibilities ${\chi }_n(k;t)$ and ${\chi }_n^s(k;t)$: mode-coupling approximation
• Systems with size and energy polydispersity: from glasses to mosaic crystals
• Starting from the amorphous ground state: linking landscape thermodynamics to slow dynamics and crossover
• Isomorphs in sheared binary Lennard-Jones glass: Transient response
• Long-wavelength fluctuations and dimensionality crossover in confined liquids
• Single particle fluctuations dominate the long-time dynamic susceptibility in glass-forming liquids
• MD Simulations of Charged Binary Mixtures Reveal a Generic Relation Between High- and Low-Temperature Behavior
• Consequences of Disorder on the Stability of Amorphous Solids
• A crossover in spatio-temporal correlations of strain fluctuations in glass forming liquids
• Statistics of small length scale density fluctuations in supercooled viscous liquids
• Dynamical solid-liquid transition through oscillatory shear
• On the nonlocal viscosity kernel of mixtures
• How do packing defects modify the cooperative motions in supercooled liquids ?
• Mobility-induced phase separation in a binary mixture of active Brownian particles
• Thermal Conductivity of Glass-Forming Liquids
• Physics of glassy systems
• Magnetic relaxation in hard type-II superconductors
• Coarse-graining strategy for modeling effective, highly diffusive fluids with reduced polydispersity: A dynamical study
• Simulation of a flat folding nano-swimmer confined in a nanopore
• Tuning Stoichiometry to Promote Formation of Binary Colloidal Superlattices
• Structure-Dynamics Correlation and Its Link to Fragility and Dynamic Heterogeneity
• Derivation of the spin-glass order parameter from stochastic thermodynamics