Jamming transition and inherent structures of hard spheres and disks.

Recent studies show that volume fractions φ(J) at the jamming transition of frictionless hard spheres and disks are not uniquely determined but exist over a continuous range. Motivated by this observation, we numerically investigate the dependence of φ(J) on the initial configurations of the parent fluid equilibrated at a volume fraction φ(eq), before compressing to generate a jammed packing. We find that φ(J) remains constant when φ(eq) is small but sharply increases as φ(eq) exceeds the dynamic transition point which the mode-coupling theory predicts. We carefully analyze configurational properties of both jammed packings and parent fluids and find that, while all jammed packings remain isostatic, the increase of φ(J) is accompanied with subtle but distinct changes of local orders, a static length scale, and an exponent of the finite-size scaling. These results are consistent with the scenario of the random first-order transition theory of the glass transition.

• Publication year

  2012

• Venue

  Physical Review Letters

• Publication date

  2012-07-30

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PHYSREVLETT.109.205701arXiv 1207.6925PMID 23215507
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Deformation of inherent structures to detect long-range correlations in supercooled liquids.

  2012cited by this paper
• Finite-size effects in the dynamics of glass-forming liquids.

  2012cited by this paper
• Unified study of glass and jamming rheology in soft particle systems.

  2012cited by this paper
• Roles of bond orientational ordering in glass transition and crystallization

  2011cited by this paper
• Glass transition and random close packing above three dimensions.

  2011cited by this paper
• Tests of mode-coupling theory in two dimensions.

  2011cited by this paper
• Dynamical transition of glasses: from exact to approximate.

  2011cited by this paper
• Glassiness, rigidity, and jamming of frictionless soft core disks.

  2010cited by this paper
• Mode-coupling theory as a mean-field description of the glass transition.

  2010cited by this paper
• Tuning jammed frictionless disk packings from isostatic to hyperstatic.

  2010cited by this paper
• Probing a critical length scale at the glass transition.

  2010cited by this paper
• Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions.

  2009cited by this paper
• Random close packing of disks and spheres in confined geometries.

  2009cited by this paper
• Complex Dynamics of Glass-Forming Liquids

  2008cited by this paper
• Facilitation, complexity growth, mode coupling, and activated dynamics in supercooled liquids

  2008cited by this paper
• Jamming versus glass transitions.

  2008cited by this paper
• Probing the equilibrium dynamics of colloidal hard spheres above the mode-coupling glass transition.

  2008cited by this paper
• Cooperativity beyond caging: Generalized mode-coupling theory.

  2006cited by this paper
• Jamming at zero temperature and zero applied stress: the epitome of disorder.

  2003cited by this paper
• Mean-field theory, mode-coupling theory, and the onset temperature in supercooled liquids.

  2003cited by this paper
• Trap models and slow dynamics in supercooled liquids.

  2002cited by this paper
• Geometric approach to the dynamic glass transition.

  2001cited by this paper
• Energy landscape of a lennard-jones liquid: statistics of stationary points.

  2000cited by this paper
• Saddles in the energy landscape probed by supercooled liquids.

  2000cited by this paper
• Is random close packing of spheres well defined?

  2000cited by this paper
• Scaling concepts for the dynamics of viscous liquids near an ideal glassy state.

  1989cited by this paper

• Order metrics of amorphous solids: structures, hyperuniformity, and implications for ultra-stable glasses.

  2025cites this paper
• Structural analysis of bijels stabilized by magnetically responsive ellipsoidal particles

  2025cites this paper
• Order metrics of jammed solids: Structures, hyperuniformity, and implications for ultra-stable glasses

  2024cites this paper
• Unified Understanding of Nonlinear Rheology near the Jamming Transition Point.

  2024cites this paper
• Yielding and plasticity in amorphous solids

  2024cites this paper
• Jamming is a first-order transition with quenched disorder in amorphous materials sheared by cyclic quasistatic deformations

  2024cites this paper
• Memory formation in dense persistent active matter

  2024cites this paper
• The geometry of jamming algorithms in the random Lorentz gas.

  2024cites this paper
• Anoplophora graafi longhorn beetle coloration is due to disordered diamond-like packed spheres

  2023cites this paper
• Jamming, relaxation, and memory in a minimally structured glass former.

  2023cites this paper
• A review on shear jamming

  2023cites this paper
• Revealing the characteristic length of random close packing via critical-like random pinning.

  2022cites this paper
• Comparison of compression versus shearing near jamming, for a simple model of athermal frictionless disks in suspension.

  2022influential citation
• Shear hardening in frictionless amorphous solids near the jamming transition

  2022cites this paper
• Correct use of excess configurational entropies to study the ideal glass transition in hard-sphere systems with continuous polydispersity

  2022cites this paper
• Dependence of the Glass Transition and Jamming Densities on Spatial Dimension.

  2022cites this paper
• Universality of jammed frictional packing

  2021cites this paper
• Geometrical properties of mechanically annealed systems near the jamming transition

  2021cites this paper
• Beyond Salsburg–Wood: Glass equation of state for polydisperse hard spheres

  2021cites this paper
• Dilatancy, shear jamming, and a generalized jamming phase diagram of frictionless sphere packings.

  2021cites this paper
• Critical pore radius and transport properties of disordered hard- and overlapping-sphere models.

  2021cites this paper
• Inherent structure landscape of hard spheres confined to narrow cylindrical channels.

  2021cites this paper
• Differences in plasticity between hard and soft spheres

  2020cites this paper
• Is friction essential for dilatancy and shear jamming in granular matter

  2020cites this paper
• A jamming plane of sphere packings

  2020influential citation
• Structured randomness: jamming of soft discs and pins.

  2020cites this paper
• Atomic Liquids in Infinite Dimensions: Thermodynamics

  2020cites this paper
• Atomic Liquids in Infinite Dimensions: Equilibrium Dynamics

  2020cites this paper
• The Gardner Transition

  2020cites this paper
• Counting Glass States: The Complexity

  2020cites this paper
• Interfacial viscoelasticity and jamming of colloidal particles at fluid–fluid interfaces: a review

  2020cites this paper
• Memory Formation in Jammed Hard Spheres.

  2020cites this paper
• Relaxation times, jamming densities, and ideal glass transition densities for hard spheres in a wide range of polydispersities

  2020cites this paper
• Unified phase diagram of reversible–irreversible, jamming, and yielding transitions in cyclically sheared soft-sphere packings

  2019cites this paper
• The Jamming Transition

  2019cites this paper
• Building Reconfigurable Devices Using Complex Liquid–Fluid Interfaces

  2019cites this paper
• Amorphous solids from the glass transition to 1 Kelvin

  2019cites this paper
• Theory of Simple Glasses

  2019cites this paper
• Shear-stress relaxation in free-standing polymer films

  2018cites this paper
• Criticality of the zero-temperature jamming transition probed by self-propelled particles.

  2018cites this paper
• Spin-glass-like aging in colloidal and granular glasses.

  2018cites this paper
• Temperature dependence of the transition packing fraction of thermal jamming in a harmonic soft sphere system

  2018cites this paper
• Marginally stable phases in mean-field structural glasses.

  2018cites this paper
• Jamming of packings of frictionless particles with and without shear

  2018cites this paper
• Shear Modulus and Shear-Stress Fluctuations in Polymer Glasses.

  2017cites this paper
• Exploring the jamming transition over a wide range of critical densities

  2017influential citation
• Shear-stress fluctuations and relaxation in polymer glasses.

  2017cites this paper
• Characterization of maximally random jammed sphere packings. III. Transport and electromagnetic properties via correlation functions.

  2017cites this paper
• Response of jammed packings to thermal fluctuations.

  2017cites this paper
• Shape effects on time-scale divergence at athermal jamming transition of frictionless non-spherical particles

  2017cites this paper
• Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions

  2016cites this paper
• Elasticity, viscoelasticity, and glass transition of model systems by computer simulation

  2016cites this paper
• Structure and Rigidity in Maximally Random Jammed Packings of Hard Particles

  2016cites this paper
• Edwards Statistical Mechanics for Jammed Granular Matter

  2016cites this paper
• Characterization of maximally random jammed sphere packings. II. Correlation functions and density fluctuations.

  2016cites this paper
• Shear-induced solidification of athermal systems with weak attraction.

  2016cites this paper
• Glass transition of two-dimensional 80–20 Kob–Andersen model at constant pressure

  2016cites this paper
• Does the configurational entropy of polydisperse particles exist?

  2016cites this paper
• Inherent structures, fragility, and jamming: insights from quasi-one-dimensional hard disks.

  2015cites this paper
• Equilibrium Sampling of Hard Spheres up to the Jamming Density and Beyond.

  2015cites this paper
• Shear-stress relaxation and ensemble transformation of shear-stress autocorrelation functions.

  2015cites this paper
• The random packing density of nearly spherical particles.

  2015cites this paper
• Memory of jamming – multiscale flow in soft and granular matter

  2015cites this paper
• Growing timescales and lengthscales characterizing vibrations of amorphous solids

  2015cites this paper
• Concentric tetratic orientational order in a confined quasi-2D tubular system

  2015cites this paper
• Micro-macro and jamming transition in granular materials

  2014cites this paper
• Potential energy landscape and inherent dynamics of a hard-sphere fluid.

  2014cites this paper
• Memory of jamming–multiscale models for soft and granular matter

  2014cites this paper
• Mechanical properties of jammed packings of frictionless spheres under an applied shear stress

  2014cites this paper
• Detailed characterization of rattlers in exactly isostatic, strictly jammed sphere packings.

  2013cites this paper
• Finite size analysis of zero-temperature jamming transition under applied shear stress by minimizing a thermodynamic-like potential.

  2013cites this paper
• Disordered strictly jammed binary sphere packings attain an anomalously large range of densities.

  2013cites this paper
• Transition state theory and the dynamics of hard disks.

  2012cites this paper
• Decorrelation of the static and dynamic length scales in hard-sphere glass formers.

  2012cites this paper