Rheology and dynamical heterogeneity in frictionless beads at jamming density

Abstract

We investigate the rheological properties of an assembly of inelastic (but frictionless) particles close to the jamming density using numerical simulation, in which uniform steady states with a constant shear rate $\dot{\gamma }$ is realized. The system behaves as a power-law fluid and the relevant exponents are estimated; e.g., the shear stress is proportional to ${\dot{\gamma }}^{1/{\delta }_S}$, where $1/{\delta }_S=0.64(2)$. It is also found that the relaxation time $\tau$ and the correlation length $\xi$ of the velocity increase obeying power laws: $\tau \sim {\dot{\gamma }}^{-\beta }$ and $\xi \sim {\dot{\gamma }}^{-\alpha }$, where $\beta =0.27(3)$ and $\alpha =0.23(3)$.

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Cited by in corpus (10)

• Universality of Jamming Criticality in Overdamped Shear-Driven Frictionless Disks
• Critical Scaling of Bagnold Rheology at the Jamming Transition of Frictionless Two Dimensional Disks
• Avalanche Interpretation of the Power-Law Energy Spectrum in Three-Dimensional Dense Granular Flow
• Instantaneous Normal Modes Reveal Structural Signatures for the Herschel-Bulkley Rheology in Sheared Glasses
• Critical scaling of diffusion coefficients and size of rigid clusters of soft athermal particles under shear
• Collective motion of macroscopic spheres floating on capillary ripples: Dynamic heterogeneity and dynamic criticality
• Effect of Collisional Elasticity on the Bagnold Rheology of Sheared Frictionless Two Dimensional Disks
• Translational and rotational velocities in shear-driven jamming of ellipsoidal particles
• Dynamic susceptibilities in dense soft athermal spheres under a finite-rate shear
• Relaxation dynamics and long-time tails explain shear-induced diffusion of soft athermal particles near jamming