Critical Scaling of Compression-Driven Jamming of Athermal Frictionless Spheres in Suspension

Abstract

We study numerically a system of athermal, overdamped, frictionless spheres, as in a non-Brownian suspension, in two and three dimensions. Compressing the system isotropically at a fixed rate $\dot{\epsilon }$, we investigate the critical behavior at the jamming transition. The finite compression rate introduces a control timescale, which allows one to probe the critical timescale associated with jamming. As was found previously for steady-state shear-driven jamming, we find for compression-driven jamming that pressure obeys a critical scaling relation as a function of packing fraction $\varphi$ and compression rate $\dot{\epsilon }$, and that the bulk viscosity $p/\dot{\epsilon }$ diverges upon jamming. A scaling analysis determines the critical exponents associated with the compression-driven jamming transition. Our results suggest that stress-isotropic, compression-driven, jamming may be in the same universality class as stress-anisotropic, shear-driven, jamming.

arXiv comment6 pages with 3 figures, plus supplemental material of 6 pages with 5 figures; revised to match published version; revisions include enhanced introduction and discussion of prior works, and additional discussion in the supplemental material

References in corpus (40)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Random Packings of Frictionless Particles
• Fractal free energy landscapes in structural glasses
• Critical Scaling of Shear Viscosity at the Jamming Transition
• Effects of compression on the vibrational modes of marginally jammed solids
• On the Rigidity of Amorphous Solids
• Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions
• Finite-Size Scaling at the Jamming Transition
• Microfluidic rheology of soft colloids above and below jamming
• A unified framework for non-Brownian suspension flows and soft amorphous solids
• Universal microstructure and mechanical stability of jammed packings
• The jamming transition as probed by quasistatic shear flow
• Jamming Criticality Revealed by Removing Localized Buckling Excitations
• The distribution of forces affects vibrational properties in hard sphere glasses
• Jamming in finite systems: stability, anisotropy, fluctuations and scaling
• Scaling properties of granular rheology near the jamming transition
• Unified Theory of Inertial Granular Flows and Non-Brownian Suspensions
• Statistics of Shear-induced Rearrangements in a Model Foam
• Do Binary Hard Disks Exhibit an Ideal Glass Transition?
• Shear flow of non-Brownian suspensions close to jamming
• Critical behaviors of sheared frictionless granular materials near jamming transition
• Critical Scaling of Shearing Rheology at the Jamming Transition of Soft Core Frictionless Disks
• Shear yielding and shear jamming of dense hard sphere glasses
• Glassiness, Rigidity and Jamming of Frictionless Soft Core Disks
• Finite-Size-Scaling at the Jamming Transition: Corrections to Scaling and the Correlation Length Critical Exponent
• Duality in Shearing Rheology Near the Athermal Jamming Transition
• Diverging viscosity and soft granular rheology in non-Brownian suspensions
• Growing length and time scales in a suspension of athermal particles
• Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition
• A jamming plane of sphere packings
• Universality of Jamming Criticality in Overdamped Shear-Driven Frictionless Disks
• Disordered jammed packings of frictionless spheres
• Critical Scaling of Bagnold Rheology at the Jamming Transition of Frictionless Two Dimensional Disks
• Dissipation and Rheology of Sheared Soft-Core Frictionless Disks
• Universal relaxation dynamics of sphere packings below jamming
• Dimensionality and viscosity exponent in shear-driven jamming
• Relaxation dynamics of non-Brownian spheres below jamming
• Effect of particle collisions in dense suspension flows
• Note: Relaxation time below jamming
• Non-Affine Displacements Below Jamming under Athermal Quasi-Static Compression

Cited by in corpus (4)

• Comparison of compression vs shearing near jamming, for a simple model of athermal frictionless disks in suspension
• Universality of stress-anisotropic and stress-isotropic jamming of frictionless spheres in three dimensions: Uniaxial vs isotropic compression
• Criticality and marginal stability of the shear jamming transition of frictionless soft spheres
• Universal Jamming Criticality and Self-Organizing Principles from Disorder to the Limit of Perfect Crystalline Order