Diverging viscosity and soft granular rheology in non-Brownian suspensions

Abstract

We use large scale computer simulations and finite size scaling analysis to study the shear rheology of dense three-dimensional suspensions of frictionless non-Brownian particles in the vicinity of the jamming transition. We perform simulations of soft repulsive particles at constant shear rate, constant pressure, and finite system size, and study carefully the asymptotic limits of large system sizes and infinitely hard particle repulsion. Extending earlier analysis by about two orders of magnitude, we first study the asymptotic behavior of the shear viscosity in the hard particle limit. We confirm its asymptotic power law divergence at the jamming transition, but show that a precise determination of the critical density and critical exponent is difficult due to the `multiscaling' behavior of the viscosity. Additionally, finite-size scaling analysis suggests that this divergence is accompanied by a growing correlation length scale, which also diverges algebraically. We then study the effect of soft repulsion, and propose a natural extension of the standard granular rheology to account for softness effects, which we validate from simulations. Close to the jamming transition, this `soft granular rheology' offers a detailed description of the non-linear rheology of soft particles, which differs from earlier empirical scaling forms.

12 pages, 9 figs

References in corpus (12)

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Cited by in corpus (13)

• Out-of-equilibrium dynamical equations of infinite-dimensional particle systems. II. The anisotropic case under shear strain
• Flow and Arrest in Stressed Granular Materials
• Strain-controlled critical slowing down in the rheology of disordered networks
• Critical Scaling of Compression-Driven Jamming of Athermal Frictionless Spheres in Suspension
• Geometrical properties of mechanically annealed systems near the jamming transition
• Comparison of compression vs shearing near jamming, for a simple model of athermal frictionless disks in suspension
• Jamming is a first-order transition with quenched disorder in amorphous materials sheared by cyclic quasistatic deformations
• Universality of stress-anisotropic and stress-isotropic jamming of frictionless spheres in three dimensions: Uniaxial vs isotropic compression
• Derivation of a constitutive model for the rheology of jammed soft suspensions from particle dynamics
• Microscopically grounded constitutive model for dense suspensions of soft particles below jamming
• Criticality of the viscous to inertial transition near jamming in non-Brownian suspensions
• Relaxation dynamics and long-time tails explain shear-induced diffusion of soft athermal particles near jamming
• Dynamic susceptibilities in dense soft athermal spheres under a finite-rate shear