Growing length and time scales in a suspension of athermal particles

Abstract

We simulate a relaxation process of non-brownian particles in a sheared viscous medium; the small shear strain is initially applied to a system, which then undergoes relaxation. The relaxation time and the correlation length are estimated as functions of density, which algebraically diverge at the jamming density. This implies that the relaxation time can be scaled by the correlation length using the dynamic critical exponent, which is estimated as 4.6(2). It is also found that shear stress undergoes power-law decay at the jamming density, which is reminiscent of critical slowing down.

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Cited by in corpus (13)

• Dynamic criticality at the jamming transition
• Critical Scaling of Shearing Rheology at the Jamming Transition of Soft Core Frictionless Disks
• Excitations of Ellipsoid Packings near Jamming
• Floppiness, cutting, and freezing: Dynamic critical scaling near isostaticity
• Relaxation dynamics of non-Brownian spheres below jamming
• Dynamic length scales in athermal, shear-driven, jamming of frictionless disks in two dimensions
• Origin of two distinct stress relaxation regimes in shear jammed dense suspensions
• Strain-controlled critical slowing down in the rheology of disordered networks
• Critical Scaling of Compression-Driven Jamming of Athermal Frictionless Spheres in Suspension
• 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
• Translational and rotational velocities in shear-driven jamming of ellipsoidal particles
• Relaxation dynamics and long-time tails explain shear-induced diffusion of soft athermal particles near jamming