Glassy, Gardner-like Phenomenology in Minimally Polydisperse Crystalline Systems
arXiv:1802.07391 · doi:10.1103/PhysRevE.99.020901
Abstract
We report on a non-equilibrium phase of matter, the minimally disordered crystal phase, which we find exists between the maximally amorphous glasses and the ideal crystal. Even though these near crystals appear highly ordered, they display glassy and jamming features akin to those observed in amorphous solids. Structurally, they exhibit a power-law scaling in their probability distribution of weak forces and small interparticle gaps as well as a flat density of vibrational states. Dynamically, they display anomalous aging above a characteristic pressure. Quantitatively this disordered crystal phase has much in common with the Gardner-like phase seen in maximally disordered solids. Near crystals should be amenable to experimental realizations in commercially-available particulate systems and are to be indispensable in verifying the theory of amorphous materials.
arXiv comment5 pages, 3 figures
References in corpus (31)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Random Packings of Frictionless Particles
- Fractal free energy landscapes in structural glasses
- Irreversible reorganization in a supercooled liquid originates from localised soft modes
- Vibrational modes identify soft spots in a sheared disordered packing
- Effects of compression on the vibrational modes of marginally jammed solids
- Packing Hyperspheres in High-Dimensional Euclidean Spaces
- Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions
- Marginal Stability in Structural, Spin and Electron Glasses
- Jamming versus Glass Transitions
- Anharmonicity and quasi-localization of the excess low-frequency vibrations in jammed solids
- Universal microstructure and mechanical stability of jammed packings
- Stability at Random Close Packing
- Jamming Criticality Revealed by Removing Localized Buckling Excitations
- Growing timescales and lengthscales characterizing vibrations of amorphous solids
- Breakdown of Elasticity in Amorphous Solids
- Crystalline phases of polydisperse spheres
- Universal non-Debye scaling in the density of states of amorphous solids
- Experimental evidences of the Gardner phase in a granular glass
- Absence of Marginal Stability in a Structural Glass
- Elastic heterogeneity, vibrational states, and thermal conductivity across an amorphisation transition
- From Crystals to Disordered Crystals: A Hidden Order-Disorder Transition
- Hiding in plain view: Colloidal self-assembly from polydisperse populations
- Numerical detection of the Gardner transition in a mean-field glass former
- Contact values of the radial distribution functions of additive hard-sphere mixtures in d dimensions: A new proposal
- Nontrivial critical fixed point for replica-symmetry-breaking transitions
- The Gardner transition in physical dimensions
- Glassy anomalies in the low-temperature thermal properties of a minimally disordered crystalline solid
- Real Space Renormalization Group Theory of Disordered Models of Glasses
- The Fractal Dimension of Interfaces in Edwards-Anderson and Long-range Ising Spin Glasses: Determining the Applicability of Different Theoretical Descriptions
- Direct measurement of the ballistic motion of a freely floating colloid in Newtonian and viscoelastic fluids
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- Perspective: Gardner Physics in Amorphous Solids and Beyond
- Memory formation in jammed hard spheres
- Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class
- Athermal fluctuations in disordered crystals
- Low-energy optical phonons induce glassy-like vibrational and thermal anomalies in ordered crystals
- Marginally jammed states of hard disks in a one-dimensional channel
- Finite size effects in the microscopic critical properties of jammed configurations: A comprehensive study of the effects of different types of disorder
- Impact of jamming criticality on low-temperature anomalies in structural glasses
- Disorder Perturbation Expansion for Athermal Crystals
- Jamming and replica symmetry breaking of weakly disordered crystals
- Gardner-like transition from variable to persistent force contacts in granular crystals
- Intermittent rearrangements accompanying thermal fluctuations distinguish glasses from crystals
- Displacement correlations in disordered athermal networks
- Structural and mechanical characteristics of sphere packings near the jamming transition: From fully amorphous to quasi-ordered structures
- Dynamic Gardner crossover in a simple structural glass
- Athermal fluctuations in three dimensional disordered crystals
- Inferring the particle-wise dynamics of amorphous solids from the local structure at the jamming point
- Comment on "Explicit Analytical Solution for Random Close Packing in and "
- Compression and fracture of ordered and disordered droplet rafts
- Universal Jamming Criticality and Self-Organizing Principles from Disorder to the Limit of Perfect Crystalline Order