Thermal fluctuations, mechanical response, and hyperuniformity in jammed solids.

Jamming is a geometric phase transition occurring in dense particle systems in the absence of temperature. We use computer simulations to analyze the effect of thermal fluctuations on several signatures of the transition. We show that scaling laws for bulk and shear moduli only become relevant when thermal fluctuations are extremely small, and propose their relative ratio as a quantitative signature of jamming criticality. Despite the nonequilibrium nature of the transition, we find that thermally induced fluctuations and mechanical responses obey equilibrium fluctuation-dissipation relations near jamming, provided the appropriate fluctuating component of the particle displacements is analyzed. This shows that mechanical moduli can be directly measured from particle positions in mechanically unperturbed packings, and suggests that the definition of a "nonequilibrium index" is unnecessary for amorphous materials. We find that fluctuations of particle displacements are spatially correlated, and define a transverse and a longitudinal correlation length scale which both diverge as the jamming transition is approached. We analyze the frozen component of density fluctuations and find that it displays signatures of nearly hyperuniform behavior at large length scales. This demonstrates that hyperuniformity in jammed packings is unrelated to a vanishing compressibility and explains why it appears remarkably robust against temperature and density variations. Differently from jamming criticality, obstacles preventing the observation of hyperuniformity in colloidal systems do not originate from thermal fluctuations.

• Publication year

  2015

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2015-04-10

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevE.92.012309arXiv 1504.02649PMID 26274164
• 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.

• Theory Of Simple Liquids

  2016cited by this paper
• Principles Of Condensed Matter Physics

  2016cited by this paper
• Shear-stress relaxation and ensemble transformation of shear-stress autocorrelation functions.

  2015cited by this paper
• Theory of the jamming transition at finite temperature.

  2015cited by this paper
• Shear modulus of glasses: results from the full replica-symmetry-breaking solution.

  2014cited by this paper
• Fractal free energy landscapes in structural glasses

  2014cited by this paper
• Rheology of soft colloids across the onset of rigidity: scaling behavior, thermal, and non-thermal responses.

  2014cited by this paper
• Hypocoordinated solids in particulate media.

  2014cited by this paper
• Diagnosing hyperuniformity in two-dimensional, disordered, jammed packings of soft spheres.

  2014cited by this paper
• Disordered solids without well-defined transverse phonons: the nature of hard-sphere glasses.

  2014cited by this paper
• Force distribution affects vibrational properties in hard-sphere glasses

  2014cited by this paper
• Yield stress in amorphous solids: a mode-coupling-theory analysis.

  2013cited by this paper
• Structure and dynamics of soft repulsive colloidal suspensions in the vicinity of the glass transition.

  2013cited by this paper
• Phonon dispersion and elastic moduli of two-dimensional disordered colloidal packings of soft particles with frictional interactions.

  2013cited by this paper
• Linear and nonlinear rheology of dense emulsions across the glass and the jamming regimes

  2013cited by this paper
• Nonequilibrium static growing length scales in supercooled liquids on approaching the glass transition.

  2012cited by this paper
• Dynamic criticality at the jamming transition.

  2012cited by this paper
• Soft-sphere packings at finite pressure but unstable to shear.

  2012cited by this paper
• Nonequilibrium static diverging length scales on approaching a prototypical model glassy state.

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

  2012cited by this paper
• Incompressibility of polydisperse random-close-packed colloidal particles.

  2011cited by this paper
• Emergence of long-range correlations and rigidity at the dynamic glass transition.

  2011cited by this paper
• Glass elasticity from particle trajectories.

  2011cited by this paper
• Microscopic theory of the jamming transition of harmonic spheres.

  2011cited by this paper
• Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings.

  2010cited by this paper
• Experimental study of random-close-packed colloidal particles.

  2010cited by this paper
• Suppressed compressibility at large scale in jammed packings of size-disperse spheres.

  2010cited by this paper
• Microscopic mean-field theory of the jamming transition.

  2010cited by this paper
• Thermal vestige of the zero-temperature jamming transition

  2009cited by this paper
• Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions.

  2009cited by this paper
• Jamming of soft particles: geometry, mechanics, scaling and isostaticity

  2009cited by this paper
• Geometric interpretation of previtrification in hard sphere liquids.

  2009cited by this paper
• Glass transition of dense fluids of hard and compressible spheres.

  2009cited by this paper
• Critical scaling of shear viscosity at the jamming transition.

  2007cited by this paper
• Long-wavelength structural anomalies in jammed systems.

  2006cited by this paper
• Structural relaxation made simple.

  2006cited by this paper
• Unexpected density fluctuations in jammed disordered sphere packings.

  2005cited by this paper
• Effects of compression on the vibrational modes of marginally jammed solids.

  2005cited by this paper
• Vibrations and diverging length scales near the unjamming transition.

  2005cited by this paper
• In and out of equilibrium

  2005cited by this paper
• Pair correlation function characteristics of nearly jammed disordered and ordered hard-sphere packings.

  2004cited by this paper
• Jamming at zero temperature and zero applied stress: the epitome of disorder.

  2003cited by this paper
• Local density fluctuations, hyperuniformity, and order metrics.

  2003cited by this paper
• Geometric origin of mechanical properties of granular materials.

  2000cited by this paper
• Stress propagation through frictionless granular material.

  1998cited by this paper
• Foam mechanics at the bubble scale.

  1995cited by this paper
• Computer simulation of liquids

  1989influential reference

• Hyperuniform disordered solids with crystal-like stability

  2025cites this paper
• Order metrics of amorphous solids: structures, hyperuniformity, and implications for ultra-stable glasses.

  2025cites this paper
• Hyperuniformity and conservation laws in non-equilibrium systems.

  2025cites this paper
• Emergence of Intermediate Range Order in Jammed Packings.

  2025cites this paper
• Interaction-free ergodicity-breaking driven by temporally hyperuniform noise.

  2025cites this paper
• Displacement correlations in a two-dimensional colloidal liquid and their relationship with shear strain correlations.

  2024cites this paper
• Order metrics of jammed solids: Structures, hyperuniformity, and implications for ultra-stable glasses

  2024cites this paper
• Structural fluctuations in active glasses.

  2024cites this paper
• Two-Dimensional Crystals far from Equilibrium.

  2023cites this paper
• Active jamming at criticality

  2023cites this paper
• Harmonic chain far from equilibrium: Single-file diffusion, long-range order, and hyperuniformity

  2023cites this paper
• Dense random packing of disks with a power-law size distribution in thermodynamic limit.

  2023cites this paper
• Energetic and Structural Characterizations of the PET-Water Interface as a Key Step in Understanding Its Depolymerization.

  2023cites this paper
• Transport through Amorphous Photonic Materials with Localization and Bandgap Regimes.

  2022cites this paper
• Hidden Order Beyond Hyperuniformity in Critical Absorbing States.

  2021cites this paper
• Non-hyperuniform metastable states around a disordered hyperuniform state of densely packed spheres: stochastic density functional theory at strong coupling.

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

  2021cites this paper
• Quantifying the long-range structure of foams and other cellular patterns with hyperuniformity disorder length spectroscopy.

  2021cites this paper
• The Gardner correlation length scale in glasses

  2020cites this paper
• Marginally jammed states of hard disks in a one-dimensional channel.

  2020cites this paper
• Hyperuniformity and density fluctuations at a rigidity transition in a model of biological tissues.

  2020cites this paper
• Microscopic ergodicity breaking governs the emergence and evolution of elasticity in glass-forming nanoclay suspensions.

  2020cites this paper
• Can a Large Packing be Assembled from Smaller Ones?

  2019cites this paper
• Absence of Hyperuniformity in Amorphous Hard-Sphere Packings of Nonvanishing Complexity.

  2018influential citation
• Hyperuniform states of matter

  2018cites this paper
• Basic Understanding of Condensed Phases of Matter via Packing Models

  2018cites this paper
• Spectrum of structure for jammed and unjammed soft disks

  2018cites this paper
• Exploring the jamming transition over a wide range of critical densities

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

  2017cites this paper
• Characterizing pixel and point patterns with a hyperuniformity disorder length.

  2017cites this paper
• Universal behaviour of the glass and the jamming transitions in finite dimensions for hard spheres.

  2017cites this paper
• Large-scale structure of randomly jammed spheres.

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

  2017cites this paper
• Two Diverging Length Scales in the Structure of Jammed Packings.

  2017cites this paper
• Calculation of displacement correlation tensor indicating vortical cooperative motion in two-dimensional colloidal liquids.

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

  2016cites this paper
• Static structural signatures of nearly jammed disordered and ordered hard-sphere packings: Direct correlation function.

  2016cites this paper
• Role of Short-Range Order and Hyperuniformity in the Formation of Band Gaps in Disordered Photonic Materials.

  2016cites this paper
• Critical slowing down and hyperuniformity on approach to jamming.

  2016cites this paper
• Finite-temperature mechanical instability in disordered lattices.

  2015cites this paper
• Experimental study of the relationship between local particle-size distributions and local ordering in random close packing.

  2015cites this paper
• Protocol-dependent shear modulus of amorphous solids

  2015cites this paper
• Criticality and correlated dynamics at the irreversibility transition in periodically driven colloidal suspensions

  2015cites this paper
• Search for hyperuniformity in mechanically stable packings of frictionless disks above jamming.

  2015cites this paper