Spontaneous and induced dynamic fluctuations in glass-formers I: General results and dependence on ensemble and dynamics
arXiv:cond-mat/0609656 · doi:10.1063/1.2721554
Abstract
We study theoretically and numerically a family of multi-point dynamic susceptibilities that quantify the strength and characteristic lengthscales of dynamic heterogeneities in glass-forming materials. We use general theoretical arguments (fluctuation-dissipation relations and symmetries of relevant dynamical field theories) to relate the sensitivity of averaged two-time correlators to temperature and density to spontaneous fluctuations of the local dynamics. Our theoretical results are then compared to molecular dynamics simulations of the Newtonian, Brownian and Monte-Carlo dynamics of two representative glass-forming liquids, a fragile binary Lennard-Jones mixture and a model for the strong glass-former silica. We justify in detail the claim made in [Science 310, 1797 (2005)], that the temperature dependence of correlation functions allows one to extract useful information on dynamic lengthscales in glassy systems. We also discuss some subtle issues associated to the choice of microscopic dynamics and of statistical ensemble through conserved quantities, which are found to play an important role in determining dynamic correlations.
arXiv comment24 pages, 7 figs - Several discussions added (Arrhenius systems, hydrodynamic contributions, relation between susceptibilities and lengthscales, etc.)
References in corpus (41)
- Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture I: The van Hove Correlation Function
- Direct experimental evidence of a growing length scale accompanying the glass transition
- Glassy dynamics of kinetically constrained models
- Scaling behavior in the -relaxation regime of a supercooled Lennard-Jones mixture
- Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture II: Intermediate Scattering Function and Dynamic Susceptibility
- Langevin Equation for the Density of a System of Interacting Langevin Processes
- On the Adam-Gibbs-Wolynes scenario for the viscosity increase in glasses
- Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
- Fragilities of Liquids Predicted from the Random First Order Transition Theory of Glasses
- Static and Dynamic Properties of a Viscous Silica Melt Molecular Dynamics Computer Simulations
- Direct observation of molecular cooperativity near the glass transition
- Coarse-grained microscopic model of glass formers
- Slow dynamics in glassy soft matter
- Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
- Predicting the long time dynamic heterogeneity in a supercooled liquid on the basis of short time heterogeneities
- Mode-Coupling Approximations, Glass Theory and Disordered Systems
- What do we learn from the shape of the dynamical susceptibility of glass-formers?
- Dynamical Heterogeneity close to the Jamming Transition in a Sheared Granular Material
- Heterogeneous Diffusion in Highly Supercooled Liquids
- Rigorous Inequalities between Length and Time Scales in Glassy Systems
- Time and length scales in supercooled liquids
- How does the relaxation of a supercooled liquid depend on its microscopic dynamics?
- On nonlinear susceptibility in supercooled liquids
- Dynamic criticality in glass-forming liquids
- Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
- Liquid Limits: The Glass Transition and Liquid-Gas Spinodal Boundaries of Metastable Liquids
- Non-linear susceptibility in glassy systems: a probe for cooperative dynamical length scales
- Real space origin of temperature crossovers in supercooled liquids
- Disentangling density and temperature effects in the viscous slowing down of glassforming liquids
- Spatially heterogeneous dynamics and dynamic facilitation in a model of viscous silica
- The relaxation dynamics of a viscous silica melt: II The intermediate scattering functions
- Lengthscale dependence of dynamic four-point susceptibilities in glass formers
- Temperature dependence of spatially heterogeneous dynamics in a model of viscous silica
- Heterogeneous Dynamics of Coarsening Systems
- Independence of the relaxation of a supercooled fluid of its microscopic dynamics: need for yet another extension of the mode-coupling theory
- Structural and dynamical heterogeneity in a glass forming liquid
- Finite size scaling analysis of the glass transition
- Renormalization group study of a kinetically constrained model for strong glasses
- Mode-coupling theory and the fluctuation-dissipation theorem for nonlinear Langevin equations with multiplicative noise
- Supersonic Discrete Kink-Solitons and Sinusoidal Patterns with "Magic" wavenumber in Anharmonic Lattices
- Four-point susceptibility of a glass-forming binary mixture: Brownian dynamics
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- 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
- Hyperuniform States of Matter
- Irreversible reorganization in a supercooled liquid originates from localised soft modes
- Universal nature of particle displacements close to glass and jamming transitions
- Perspective: The Glass Transition
- Probing the equilibrium dynamics of colloidal hard spheres above the mode-coupling glass transition
- Bond orientational ordering in liquids: Towards a unified description of water-like anomalies, liquid-liquid transition, glass transition, and crystallization
- Models and algorithms for the next generation of glass transition studies
- Molecular dynamics simulations of glassy polymers
- Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions
- Spatial correlations in the dynamics of glassforming liquids: Experimental determination of their temperature dependence
- Dynamic heterogeneity in amorphous materials
- The glass transition of dense fluids of hard and compressible spheres
- Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
- Hyperuniformity and its Generalizations
- Perspective: Nonequilibrium glassy dynamics in dense systems of active particles
- Evidence of growing spatial correlations at the glass transition from nonlinear response experiments
- Structure and dynamics in glass-formers: predictability at large length scales
- Critical scaling and heterogeneous superdiffusion across the jamming/rigidity transition of a granular glass
- Relaxation and physical aging in network glasses: a review
- Field Theory of Fluctuations in Glasses
- Thirty milliseconds in the life of a supercooled liquid
- Modern computational studies of the glass transition
- Amorphous silica modeled with truncated and screened Coulomb interactions: A molecular dynamics simulation study
- Dynamic criticality at the jamming transition
- Dynamic heterogeneity in a glass forming fluid: susceptibility, structure factor and correlation length
- Localised soft modes and the supercooled liquid's irreversible passage through its configuration space
- Information-theoretic measurements of coupling between structure and dynamics in glass-formers
- Finite size effects in the dynamics of glass-forming liquids
- Investigation of -dependent dynamical heterogeneity in a colloidal gel by x-ray photon correlation spectroscopy
- Efficient swap algorithms for molecular dynamics simulations of equilibrium supercooled liquids
- Multiple length and time scales of dynamic heterogeneities in model glass-forming liquids: A systematic analysis of multi-point and multi-time correlations
- Dynamical transition of glasses: from exact to approximate
- Decorrelation of the static and dynamic length scales in hard-sphere glass-formers
- Analysis of a growing dynamic length scale in a glass-forming binary hard-sphere mixture
- Quantitative field theory of the glass transition
- Growing static and dynamic length scales in a glass-forming liquid
- Disordered Hyperuniform Heterogeneous Materials
- Predicting dynamic heterogeneity in glass-forming liquids by physics-inspired machine learning
- Microscopic Picture of Cooperative Processes in Restructuring Gel Networks
- Short-time -relaxation in glass-forming liquids is cooperative in nature
- The race to the bottom: approaching the ideal glass?
- Evidence for a disordered critical point in a glass-forming liquid
- Dynamic heterogeneities above and below the mode-coupling temperature. Evidence of a dynamic crossover
- Dynamics and energy landscape in a tetrahedral network glass-former: Direct comparison with models of fragile liquids
- Improved reconstructions of random media using dilation and erosion processes
- Revisiting the slow dynamics of a silica melt using Monte Carlo simulations
- Spatial and temporal dynamical heterogeneities approaching the binary colloidal glass transition
- Density scaling in viscous liquids: From relaxation times to four-point susceptibilities
- Deconstructing the glass transition through critical experiments on colloids
- Nonlinear response theory for Markov processes: Simple models for glassy relaxation
- Self-assembly and cooperative dynamics of a model colloidal gel network
- Crossovers in the dynamics of supercooled liquids probed by an amorphous wall
- Relationship between bond-breakage correlations and four-point correlations in heterogeneous glassy dynamics: Configuration changes and vibration modes
- Multi-time density correlation functions in glass-forming liquids: Probing dynamical heterogeneity and its lifetime
- Evidence of growing spatial correlations during the aging of glassy glycerol
- Dynamic Correlation Length Scales under Isochronal Conditions
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- Static triplet correlations in glass-forming liquids: A molecular dynamics study
- Shear stress relaxation and ensemble transformation of shear stress autocorrelation functions revisited
- Dynamic and thermodynamic crossover scenarios in the Kob-Andersen mixture: Insights from multi-CPU and multi-GPU simulations
- Nonequilibrium static growing length scales in supercooled liquids on approaching the glass transition
- Dynamical Heterogeneity in Lattice Glass Models
- Nonequilibrium static diverging length scales on approaching a prototypical model glassy state
- Scaling of the glassy dynamics of soft repulsive particles: a mode-coupling approach
- Non-linear dynamic response of glass-forming liquids to random pinning
- Fluctuation-dissipation relation between shear stress relaxation modulus and shear stress autocorrelation function revisited
- Long-range spatial correlations of particle displacements and the emergence of elasticity
- Marvels and Pitfalls of the Langevin Algorithm in Noisy High-dimensional Inference
- Dynamics of interacting Brownian particles: a diagrammatic formulation
- Dynamical Heterogeneity and Nonlinear Susceptibility in Short-Ranged Attractive Supercooled Liquids
- Non-equilibrium dynamics of spin facilitated glass models
- Long-wavelength fluctuations lead to a model of the glass crossover
- Static replica approach to critical correlations in glassy systems
- Classical Glasses, Black Holes, and Strange Quantum Liquids
- Dynamical Landau Theory of the Glass Crossover
- Dynamical heterogeneity in a model for permanent gels: Different behavior of dynamical susceptibilities
- Dynamical correlations in a glass-former with randomly pinned particles
- Dynamic heterogeneities in attractive colloids
- Finite-dimensional vestige of spinodal criticality above the dynamical glass transition
- Growth of a dynamical correlation length in an aging superspin glass
- Anisotropic spatially heterogeneous dynamics on the and relaxation time scales studied via a four-point correlation function
- Predictive power of MCT: Numerics and Finite size scaling for a mean field spin glass
- Solvable Models of Supercooled Liquids in Three Dimensions
- Diverging length scale of the inhomogeneous mode-coupling theory: a numerical investigation
- Comparing dynamic correlation lengths from an approximation to the four-point dynamic susceptibility and from the picosecond vibrational dynamics
- Higher-order correlation functions and nonlinear response functions in a Gaussian trap model
- Lower bound on the four-point dynamical susceptibility: Direct experimental test on a granular packing
- Super-diffusion around the rigidity transition: Levy and the Lilliputians
- Static correlations functions and domain walls in glass-forming liquids: the case of a sandwich geometry
- From caging to Rouse dynamics in polymer melts with intramolecular barriers: a critical test of the Mode Coupling Theory
- Signature of Dynamical Heterogeneity in Spatial Correlations of Particle Displacement and its Temporal Evolution in Supercooled Liquids
- Scaling and universality in glass transition
- Mean-field dynamic criticality and geometric transition in the Gaussian core model
- Dynamic heterogeneity at the experimental glass transition predicted by transferable machine learning
- Suppression of the rate of growth of dynamic heterogeneities and its relation to the local structure in a supercooled polydisperse liquid
- Unifying different interpretations of the nonlinear response in glass-forming liquids
- Critical dynamical heterogeneities close to continuous second-order glass transitions
- The glass transition in molecules, colloids and grains: universality and specificity
- Divergent four-point dynamic density correlation function of a glassy colloidal suspension: a diagrammatic approach
- Effects of random pinning on the potential energy landscape of a supercooled liquid
- Kinetic Heterogeneities at Dynamical Crossovers
- Calculation of displacement correlation tensor indicating vortical cooperative motion in two-dimensional colloidal liquids
- Rotation-equivariant Graph Neural Networks for Learning Glassy Liquids Representations
- Reduced strength and extent of dynamic heterogeneity in a strong glass former as compared to fragile glass formers
- Dynamical heterogeneity in a glass forming ideal gas
- Connecting real glasses to mean-field models
- Characterizing dynamic length scales in glass-forming liquids
- Interplay between structure and relaxation in polyurea networks: the point of view from a novel method of cooperativity analysis of dielectric response
- A perspective on the fragility of glass-forming liquids
- The variation of the dynamic susceptibility along an isochrone
- RFOT theory for glassy dynamics in a single condensed polymer
- Dynamical Susceptibilities Near Ideal Glass Transitions
- Study of the heating effect contribution to the nonlinear dielectric response of a supercooled liquid
- Theoretical analysis for critical fluctuations of relaxation trajectory near a saddle-node bifurcation
- Dynamic Length Scales in Glass-Forming Liquids: A Inhomogeneous Molecular Dynamics Simulation Approach
- Super-Cooled Liquids: Equivalence between Mode-Coupling Theory and Replica Approach
- Third and Fifth Harmonic Responses in Viscous Liquids
- Structure and dynamics of coupled viscous liquids
- Connecting microscopic simulations with kinetically constrained models of glasses
- Connecting Relaxation Time to a Dynamical Length Scale in Athermal Active Glass Formers
- A note on weakly discontinuous dynamical transitions
- Density nonlinearities in field theories for a toy model of fluctuating nonlinear hydrodynamics of supercooled liquids
- Nonlinear response functions in an exponential trap model
- Collective motion of macroscopic spheres floating on capillary ripples: Dynamic heterogeneity and dynamic criticality
- Characterising the slow dynamics of the swap Monte Carlo algorithm
- On the choice of diameters in a polydisperse model glassformer: deterministic or stochastic?
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- Theory of the -Relaxation Beyond Mode-Coupling Theory: A Microscopic Treatment
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- Universal Scaling in the Aging of the Strong Glass Former SiO