The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment
arXiv:cond-mat/0509127 · doi:10.1088/0953-8984/17/50/R01
Abstract
One of the most spectacular phenomena in physics in terms of dynamical range is the glass transition and the associated slowing down of flow and relaxation with decreasing temperature. That it occurs in many different liquids seems to call for a "universal" theory. In this article, we review one such theoretical approach which is based on the concept of "frustration". Frustration in this context describes an incompatibility between extension of the locally preferred order in a liquid and tiling of the whole space. We provide a critical assessment of what has been achieved within this approach and we discuss the relation with other theories of the glass transition.
48 pages, 13 figures, submitted to J. Phys : Cond. Matter
References in corpus (3)
Cited by in corpus (183)
- Theoretical perspective on the glass transition and amorphous materials
- Intrinsic ripples in graphene
- First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
- Perspective: The Glass Transition
- Thermodynamic signature of growing amorphous order in glass-forming liquids
- Bond orientational ordering in liquids: Towards a unified description of water-like anomalies, liquid-liquid transition, glass transition, and crystallization
- Modeling the mechanics of amorphous solids at different length and time scales
- Roles of icosahedral and crystal-like order in hard spheres glass transition
- Spatial correlations in the dynamics of glassforming liquids: Experimental determination of their temperature dependence
- Dynamic heterogeneity in amorphous materials
- Fifth-order susceptibility unveils growth of thermodynamic amorphous order in glass-formers
- Understanding fragility in supercooled Lennard-Jones mixtures. I. Locally preferred structures
- Connectivity of the Icosahedral Network and a Dramatically Growing Static Length Scale in Cu-Zr Binary Metallic Glasses
- Vortices in Superfluid Films on Curved Surfaces
- Static point-to-set correlations in glass-forming liquids
- Facets of glass physics
- Direct measurements of growing amorphous order and non-monotonic dynamic correlations in a colloidal glass-former
- Perspective: Configurational entropy of glass-forming liquids
- Structure and dynamics in glass-formers: predictability at large length scales
- Crystallization kinetics of colloidal model suspensions: recent achievements and new perspectives
- Identification of long-lived clusters and their link to slow dynamics in a model glass former
- Structural and dynamical features of multiple metastable glassy states in a colloidal system with competing interactions
- Heterogeneous Dynamics, Marginal Stability and Soft Modes in Hard Sphere Glasses
- Thirty milliseconds in the life of a supercooled liquid
- Zero-temperature glass transition in two dimensions
- Geometrical Frustration and Static Correlations in a Simple Glass Former
- Colloidal Hard Spheres: Triumphs, Challenges and Mysteries
- A brief critique of the Adam-Gibbs entropy model
- Hard sphere crystallization gets rarer with increasing dimension
- Information-theoretic measurements of coupling between structure and dynamics in glass-formers
- Finite size effects in the dynamics of glass-forming liquids
- Active glasses
- Spin Glass Order Induced by Dynamic Frustration
- A critical test of the mode-coupling theory of the glass transition
- The structural origin of the hard-sphere glass transition in granular packing
- From boiling point to glass transition temperature: transport coefficients in molecular liquids follow three-parameter scaling
- Multiple length and time scales of dynamic heterogeneities in model glass-forming liquids: A systematic analysis of multi-point and multi-time correlations
- Local thermal energy as a structural indicator in glasses
- Understanding, predicting, and tuning the fragility of vitrimeric polymers
- Growing static and dynamic length scales in a glass-forming liquid
- Anisotropic exchange within decoupled tetrahedra in the quantum breathing pyrochlore Ba3Yb2Zn5O11
- Does the Adam-Gibbs relation hold in simulated supercooled liquids?
- Tuning the fragility of a glassforming liquid by curving space
- Strong geometric frustration in model glassformers
- The race to the bottom: approaching the ideal glass?
- Geometrical Frustration: A Study of 4d Hard Spheres
- Superfragile glassy dynamics of onecomponent system with isotropic potential: competition of diffusion and frustration
- Deconstructing the glass transition through critical experiments on colloids
- Non-Equilibrium Phase Transition in an Atomistic Glassformer: the Connection to Thermodynamics
- A locally preferred structure characterises all dynamical regimes of a supercooled liquid
- Real Space Analysis of Colloidal Gels: Triumphs, Challenges and Future Directions
- The Complete Jamming Landscape of Confined Hard Discs
- Testing "microscopic" theories of glass-forming liquids
- From glass formation to icosahedral ordering by curving three-dimensional space
- Topological kinematic constraints: quantum dislocations and the glide principle
- Dislocation Glasses: Aging during Relaxation and Coarsening
- Striped phases in two dimensional dipole systems
- Locally favoured structures and dynamic length scales in a simple glass-former
- Stripes, Zigzags, and Slow Dynamics in Buckled Hard Spheres
- Geometrical Frustration and Static Correlations in Hard-Sphere Glass Formers
- Random pinning in glassy spin models with plaquette interactions
- A Supercooled Spin Liquid State in the Frustrated Pyrochlore Dy2Ti2O7
- Classical density functional theory, unconstrained crystallization, and polymorphic behavior
- (Ir-)Reversibility and thermal equilibrium in magnetic domain pattern formation in ultra-thin ferromagnetic films
- Understanding the ideal glass transition: Lessons from an equilibrium study of hard disks in a channel
- Using mutual information to measure order in model glass-formers
- Experimental evidence of a crossover between cooperative relaxation and liquid growth dynamics
- Tetrahedrality dictates dynamics in hard spheres
- Glass-like behavior of a hard-disk fluid confined to a narrow channel
- The nature of geometric frustration in the Kob-Andersen mixture
- Dimensionality reduction of local structure in glassy binary mixtures
- Structures and dynamics of glass-forming colloidal liquids under spherical confinement
- Configurational entropy of polydisperse supercooled liquids
- Understanding fragility in supercooled Lennard-Jones mixtures. II. Potential energy surface
- Juxtaposition of Spin Freezing and Long Range Order in a Series of Geometrically Frustrated Antiferromagnetic Gadolinium Garnets
- The Origin of Persistent Shear Stress in Supercooled Liquids
- Modulation and correlations lengths in systems with competing interactions
- Ten themes of viscous liquid dynamics
- Non-equilibrium dynamics of spin facilitated glass models
- Spontaneous Magnetic Superdomain Wall Fluctuations in an Artificial Antiferromagnet
- Local order and crystallization of dense polydisperse hard spheres
- Roles of liquid structural ordering in glass transition, crystallization, and water's anomalies
- Spin Jam: a quantum-fluctuation-induced glassy state of a frustrated magnet
- Curvature-induced frustration in the model on hyperbolic surfaces
- Dynamical and structural signatures of the glass transition in emulsions
- Crystalline clusters in mW water: stability, growth, and grain boundaries
- The Early Crystal Nucleation Process in Hard Spheres shows Synchronised Ordering and Densification
- Dynamical correlations in a glass-former with randomly pinned particles
- Growing Surface Tension of Amorphous-Amorphous Interfaces on Approaching the Colloidal Glass Transition
- Equation of state of polydisperse hard-disk mixtures in the high-density regime
- Structure and dynamics of topological defects in a glassy liquid on a negatively curved manifold
- Morphometric approach to many-body correlations in hard spheres
- Real Space Renormalization Group Theory of Disordered Models of Glasses
- Random Field Ising-like effective theory of the glass transition II: Finite Dimensional Models
- Statistical mechanics of coupled supercooled liquids in finite dimensions
- Random-Field Ising like effective theory of the glass transition: I Mean-Field Models
- Effect of attractions on correlation length scales in a glass-forming liquid
- Structure and glass-forming ability of simulated Ni-Zr alloys
- High temperature correlation functions: universality, extraction of exchange interactions, divergent correlation lengths and generalized Debye length scales
- Spin-orbital glass transition in a model of a frustrated pyrochlore magnet without quenched disorder
- Bootstrap percolation and kinetically constrained models on hyperbolic lattices
- Common Glass-Forming Spin-Liquid State in the Pyrochlore Magnets DyTiO and HoTiO
- Glassy dynamics of dense particle assemblies on a spherical substrate
- Supercooling and fragile glassiness in a dipolar kagome Ising magnet
- Interplay between coarsening and nucleation in an Ising model with dipolar interactions
- Excess wings and asymmetric relaxation spectra in a facilitated trap model
- The glass transition in molecules, colloids and grains: universality and specificity
- Suppression of crystalline fluctuations by competing structures in a supercooled liquid
- Correlation between crystalline order and vitrification in colloidal monolayers
- Unifying different interpretations of the nonlinear response in glass-forming liquids
- Structure of inactive states of a binary Lennard-Jones mixture
- A Superglass Phase of Interacting Bosons
- The range of geometrical frustration in lattice spin models
- Real Space Migdal-Kadanoff Renormalisation of Glassy Systems: Recent Results and a Critical Assessment
- Multi-component generalized mode-coupling theory: Predicting dynamics from structure in glassy mixtures
- An operational scheme to determine the locally preferred structure of model liquids
- A phase space approach to supercooled liquids and a universal collapse of their viscosity
- Fluctuations and Shape of Cooperative Rearranging Regions in Glass-Forming Liquids
- Self-induced glassiness and pattern formation in spin systems subject to long-range interactions
- Phase and vortex correlations in Josephson-junction arrays at irrational frustration
- Folding time dependence of the motions of a molecular motor diluted inside an amorphous medium
- Recasting a model atomistic glassformer as a system of icosahedra
- Randomness-Induced Redistribution of Vibrational Frequencies in Amorphous Solids
- Mode-coupling approach for the slow dynamics of a liquid on a spherical substrate
- Observation of crystallization slowdown in supercooled para-hydrogen and ortho-deuterium quantum liquid mixtures
- Monte Carlo simulations of glass-forming liquids beyond Metropolis
- Solidity of viscous liquids. V. Long-wavelength dominance of the dynamics
- Vortex jamming in superconductors and granular rheology
- The Devil is in the details: Pentagonal bipyramids and dynamic arrest
- Cage effect in supercooled molecular liquids: local anisotropies and collective solid-like response
- Weak links between fast mobility and local structure in molecular and atomic liquids
- Attraction Controls the Inversion of Order by Disorder
- Thermodynamics and structure of simple liquids in the hyperbolic plane
- Cage rattling does not correlate with the local geometry in molecular liquids
- Stress accumulation versus shape flattening in frustrated, warped-jigsaw particle assemblies
- Duality and free energy analyticity bounds for few-body Ising models with extensive homology rank
- Ice, glass, and solid phases in artificial spin systems with quenched disorder
- Finite size effects on the phase diagram of the thermodynamical cluster model
- The Influence of Particle Softness on Active Glassy Dynamics
- Equilibrium Fluid-Crystal Interfacial Free Energy of Bcc-Crystallizing Aqueous Suspensions of Polydisperse Charged Spheres
- Zero-temperature transition and correlation-length exponent of the frustrated XY model on a honeycomb lattice
- Enhanced diffusion in finite-size simulations of a fragile diatomic glass former
- Langevin dynamics of fluctuation induced first order phase transitions: self consistent Hartree Approximation
- From Liquid Structure to Configurational Entropy: Introducing Structural Covariance
- Selecting Relevant Structural Features for Glassy Dynamics by Information Imbalance
- Third and Fifth Harmonic Responses in Viscous Liquids
- Critical Phenomena in Hyperbolic Space
- The glassy response of double torsion oscillators in solid Helium-4
- A Dramatically Growing Shear Rigidity Length Scale in a Supercooled Glass Former ()
- Structure, compressibility factor and dynamics of highly size-asymmetric binary hard-disk liquids
- Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet
- Intrinsic nanoscale inhomogeneity in ordering systems due to elastic-mediated interactions
- Structure in Sheared Supercooled Liquids: Dynamical Rearrangements of an Effective System of Icosahedra
- Structural Phases in Non-Additive Soft-Disk Mixtures: Glasses, Substitutional Order, and Random Tilings
- Self-diffusion in a monatomic glassforming liquid embedded in the hyperbolic plane
- Crystallization in Three-Dimensions: Defect-Driven Topological Ordering and the Role of Geometrical Frustration
- Understanding spin glass transition as a dynamic phenomenon
- Granular packing as model glass formers
- Rotational and translational dynamics in dense fluids of patchy particles
- Freezing Transitions in Liquids Characterized by a Favoured Local Structure
- Collective dynamics in a glass-former with Mari-Kurchan interactions
- From particles to spins: Eulerian formulation of supercooled liquids and glasses
- Comment on "Correlation between Dynamic Heterogeneity and Medium-Range Order in Two-Dimensional Glass-Forming Liquids"
- First Principle Computation of Random Pinning Glass Transition, Glass Cooperative Length-Scales and Numerical Comparisons
- Inference of hidden structures in complex physical systems by multi-scale clustering
- An Ising model for the thermal and dynamic properties of supercooled liquids and the glass transition
- Avoided criticality and slow relaxation in frustrated two dimensional models
- Influence of an amorphous wall on the distribution of localized excitations in a colloidal glass-forming liquid
- Tagged-particle motion of Percus-Yevick hard spheres from first principles
- Growing length scale accompanying the vitrification: A perspective based on non-singular density fluctuations
- Vortex solid phase with frozen undulations in superconducting Josephson-junction arrays in external magnetic fields
- Higher-dimensional Euclidean and non-Euclidean structures in planar circuit quantum electrodynamics
- Constraint percolation on hyperbolic lattices
- Nonlinear dielectric response in glasses: restoring forces and avoided spin-glass criticality
- Freezing, melting and the onset of glassiness in binary mixtures
- Does mesoscopic elasticity control viscous slowing down in glassforming liquids?
- Ageing and crystallization in a lattice glass model
- Frustrated magnets in the limit of infinite dimensions: dynamics and disorder-free glass transition
- Unifying atoms and colloids near the glass transition through bond-order topology
- Kinetic glass transition in granular gases and non-linear molecular fluids
- Thermodynamics of fluctuations based on time-and-space averages
- Transition by Breaking of Analyticity in the Ground State of Josephson Junction Arrays as a Static Signature of the Vortex Jamming Transition
- Ergodicity in glass relaxation