Perspective: Gardner Physics in Amorphous Solids and Beyond

Abstract

One of the most remarkable predictions to emerge out of the exact infinite-dimensional solution of the glass problem is the Gardner transition. Although this transition was first theoretically proposed a generation ago for certain mean-field spin glass models, its materials relevance was only realized when a systematic effort to relate glass formation and jamming was undertaken. A number of nontrivial physical signatures associated to the Gardner transition have since been considered in various areas, from models of structural glasses to constraint satisfaction problems. This Perspective surveys these recent advances and discusses the novel research opportunities that arise from them.

17 pages, 9 figures

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Cited by in corpus (43)

• Modern computational studies of the glass transition
• Properties of equilibria and glassy phases of the random Lotka-Volterra model with demographic noise
• Colloidal Hard Spheres: Triumphs, Challenges and Mysteries
• Fast Dynamics in a Model Metallic Glass-forming Material
• Rethinking mean-field glassy dynamics and its relation with the energy landscape: the awkward case of the spherical mixed p-spin model
• Slow stretched-exponential and fast compressed-exponential relaxation from local event dynamics
• A review on shear jamming
• Memory formation in jammed hard spheres
• Unified View of Avalanche Criticality in Sheared Glasses
• Determining the nonequilibrium criticality of a Gardner transition via a hybrid study of molecular simulations and machine learning
• Thermodynamic-Dynamic Interrelations in Glass-Forming Polymer Fluids
• Experimental observation of the marginal glass phase in a colloidal glass
• One-step replica-symmetry-breaking phase below the de Almeida-Thouless line in low-dimensional spin glasses
• Low-energy optical phonons induce glassy-like vibrational and thermal anomalies in ordered crystals
• Variety of scaling behaviors in nanocrystalline plasticity
• Experimental observations of marginal criticality in granular materials
• How to count in hierarchical landscapes: a 'full' solution to mean-field complexity
• Direct Imaging of Contacts and Forces in Colloidal Gels
• Finite size effects in the microscopic critical properties of jammed configurations: A comprehensive study of the effects of different types of disorder
• Correlation of plastic events with local structure in jammed packings across spatial dimensions
• Dynamical mean-field theory: from ecosystems to reaction networks
• Time Glass: A Fractional Calculus Approach
• Searching for the Gardner transition in glassy glycerol
• Mean-Field Predictions of Scaling Prefactors Match Low-Dimensional Jammed Packings
• Quantum Jamming: Critical Properties of a Quantum Mechanical Perceptron
• From complex to simple : hierarchical free-energy landscape renormalized in deep neural networks
• Renormalization of elastic quadrupoles in amorphous solids
• Gardner-like transition from variable to persistent force contacts in granular crystals
• Hard-Sphere Jamming through the Lens of Linear Optimization
• Low energy excitations of mean-field glasses
• Inherent Structure Landscape of Hard Spheres Confined to Narrow Cylindrical Channels
• Non-hyperuniform metastable states around a disordered hyperuniform state of densely packed spheres: stochastic density functional theory at strong coupling
• Possible instability of one-step replica symmetry breaking in p-spin Ising models outside mean-field theory
• Dynamic Gardner crossover in a simple structural glass
• Inferring the particle-wise dynamics of amorphous solids from the local structure at the jamming point
• Gas-liquid phase separation at zero temperature: mechanical interpretation and implications for gelation
• Jamming is a first-order transition with quenched disorder in amorphous materials sheared by cyclic quasistatic deformations
• Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model
• Quantized plastic deformation
• The Gardner correlation length scale in glasses
• Pole Analysis of the Inter-Replica Correlation Function in a Two-Replica System as a Binary Mixture: Mean Overlap in the Cluster Glass Phase
• Probing the Gardner transition in an active quasi-thermal pressure-controlled granular system
• Non-Equilibrium Dynamics of Hard Spheres in the Fluid, Crystalline, and Glassy Regimes