Divergence of Viscosity in Jammed Granular Materials: A Theoretical Approach

Abstract

A theory for jammed granular materials is developed with the aid of a nonequilibrium steady-state distribution function. The approximate nonequilibrium steady-state distribution function is explicitly given in the weak dissipation regime by means of the relaxation time. The theory quantitatively agrees with the results of the molecular dynamics simulation on the critical behavior of the viscosity below the jamming point without introducing any fitting parameter.

18 pages, 5 figures

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Cited by in corpus (18)

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• Shear jamming, discontinuous shear thickening, and fragile states in dry granular materials under oscillatory shear
• Universal relaxation dynamics of sphere packings below jamming
• Enskog kinetic theory of rheology for a moderately dense inertial suspension
• Discontinuous change of shear modulus for frictional jammed granular materials
• Theory for the rheology of dense non-Brownian suspensions: divergence of viscosities and $\mu$-$J$ rheology
• Granular rotor as a probe for a non-equilibrium bath
• Rheology of dilute cohesive granular gases
• Kinetic theory of discontinuous shear thickening
• A microscopic theory for discontinuous shear thickening of frictional granular materials
• Effect of Collisional Elasticity on the Bagnold Rheology of Sheared Frictionless Two Dimensional Disks
• Kinetic theory of discontinuous shear thickening of a moderately dense inertial suspension of frictionless soft particles
• Kinetic theory of discontinuous shear thickening for a dilute gas-solid suspension
• Kinetic theory for strong uniform shear flow of granular media at high density
• Linking particle properties to paste extrusion flow characteristics using discrete element simulations
• Stationary bubble formation and cavity collapse in wedge-shaped hoppers
• Relaxation dynamics and long-time tails explain shear-induced diffusion of soft athermal particles near jamming
• Weighted average temperature as the effective temperature of a system in contact with two thermal baths