Structural signatures of the unjamming transition at zero temperature
arXiv:cond-mat/0601012 · doi:10.1103/PhysRevE.73.041304
Abstract
We study the pair correlation function for zero-temperature, disordered, soft-sphere packings just above the onset of jamming. We find distinct signatures of the transition in both the first and split second peaks of this function. As the transition is approached from the jammed side (at higher packing fraction) the first peak diverges and narrows on the small- side to a delta-function. On the high- side of this peak, decays as a power-law. In the split second peak, the two subpeaks are both singular at the transition, with power-law behavior on their low- sides and step-function drop-offs on their high- sides. These singularities at the transition are reminiscent of empirical criteria that have previously been used to distinguish glassy structures from liquid ones.
8 pages, 13 figures
References in corpus (15)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Random Packings of Frictionless Particles
- Force Distribution in a Granular Medium
- Packing of Compressible Granular Materials
- Effects of compression on the vibrational modes of marginally jammed solids
- Vibrations and diverging length scales near the unjamming transition
- Geometric origin of excess low-frequency vibrational modes in amorphous solids
- Geometry of Frictionless and Frictional Sphere Packings
- Jamming transition in emulsions and granular materials
- The Geometrical Structure of Disordered Sphere Packings
- Pair Correlation Function Characteristics of Nearly Jammed Disordered and Ordered Hard-Sphere Packings
- Force distributions near the jamming and glass transitions
- Statistics of the contact network in frictional and frictionless granular packings
- Investigating the Geometrical Structure of Disordered Sphere Packings
- Jamming as a critical phenomenon: a field theory of zero-temperature grain packings
Cited by in corpus (66)
- Mean field theory of hard sphere glasses and jamming
- Jamming of Soft Particles: Geometry, Mechanics, Scaling and Isostaticity
- Critical Scaling of Shear Viscosity at the Jamming Transition
- Jamming of frictional spheres and random loose packing
- Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions
- Critical scaling in linear response of frictionless granular packings near jamming
- Internal states of model isotropic granular packings. I. Assembling process, geometry and contact networks
- Why is Random Close Packing Reproducible?
- Marginal Stability in Structural, Spin and Electron Glasses
- Exact theory of dense amorphous hard spheres in high dimension. III. The full RSB solution
- Universal microstructure and mechanical stability of jammed packings
- Exact theory of dense amorphous hard spheres in high dimension. II. The high density regime and the Gardner transition
- The packing of granular polymer chains
- Force and flow transition in plowed granular media
- Non-affine response: jammed packings versus spring networks
- Force Mobilization and Generalized Isostaticity in Jammed Packings of Frictional Grains
- Approach to jamming in an air-fluidized granular bed
- Memory of jamming - multiscale models for soft and granular matter
- Jamming in finite systems: stability, anisotropy, fluctuations and scaling
- The distribution of forces affects vibrational properties in hard sphere glasses
- Jammed frictionless discs: connecting local and global response
- Energy transport in jammed sphere packings
- Normal Modes in Model Jammed Systems in Three Dimensions
- Microscopic theory of the jamming transition of harmonic spheres
- Exploring the jamming transition over a wide range of critical densities
- A microscopic mean-field theory of the jamming transition
- Numerical detection of the Gardner transition in a mean-field glass former
- Combining tomographic imaging and DEM simulations to investigate the structure of experimental sphere packings
- Solid behavior of anisotropic rigid frictionless bead assemblies
- New jamming scenario: From marginal jamming to deep jamming
- Numerical test of the Edwards conjecture shows that all packings are equally probable at jamming
- Experimental study of the jamming transition at zero temperature
- Anomalous structural evolution of soft particles: Equibrium liquid state theory
- Effects of particle-size ratio on jamming of binary mixtures
- Long-Range Anomalous Decay of the Correlation in Jammed Packings
- Long wavelength structural anomalies in jammed systems
- Critical scalings and jamming in thermal colloidal systems
- Dynamical and structural signatures of the glass transition in emulsions
- Jammed lattice sphere packings
- Disordered Solids Without Well-Defined Transverse Phonons: The Nature of Hard Sphere Glasses
- Pressure-dependent shear response of jammed packings of spherical particles
- Linking microscopic and macroscopic response in disordered solids
- Free volume distribution of nearly jammed hard sphere packings
- Experimental observations of marginal criticality in granular materials
- Jamming by growth
- Application of Edwards' statistical mechanics to high dimensional jammed sphere packings
- Observation and Characterization of the Vestige of the Jamming Transition in a Thermal 3D System
- On the solution of a `solvable' model of an ideal glass of hard spheres displaying a jamming transition
- Yield stress in amorphous solids: A mode-coupling theory analysis
- Free-energy functional for freezing transitions: Hard sphere systems freezing into crystalline and amorphous structures
- Force heterogeneities in particle assemblies: From order to disorder
- Packing structure of a two-dimensional granular system through the jamming transition
- Disordered Contact Networks in Jammed Packings of Frictionless Disks
- Marginal stability in jammed packings: quasicontacts and weak contacts
- Additional jamming transition in 2D bidisperse granular packings
- Diffusion in jammed particle packs
- Can the jamming transition be described using equilibrium statistical mechanics?
- Structural and mechanical characteristics of sphere packings near the jamming transition: From fully amorphous to quasi-ordered structures
- Stress response inside perturbed particle assemblies
- Theory of simple glasses
- Spectral responses in granular compaction
- Singularities in Hessian element distributions of amorphous media
- Jamming transition and normal modes of polydispersed soft particle packing
- From crystal to amorphopus: a novel route towards unjamming in soft disk packings
- Unearthing the anticrystal: criticality in the linear response of disordered solids
- Glass and jamming transition of simple liquids: static and dynamic theory