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.

arXiv comment18 pages, 5 figures

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• Kinetic theory of shear thickening for a moderately dense gas-solid suspension: from discontinuous thickening to continuous thickening
• Shear jamming, discontinuous shear thickening, and fragile states in dry granular materials under oscillatory shear
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• Linking particle properties to paste extrusion flow characteristics using discrete element simulations
• Kinetic theory for strong uniform shear flow of granular media at high density
• Kinetic theory of discontinuous shear thickening for a dilute gas-solid suspension
• Stationary bubble formation and cavity collapse in wedge-shaped hoppers
• Weighted average temperature as the effective temperature of a system in contact with two thermal baths
• Relaxation dynamics and long-time tails explain shear-induced diffusion of soft athermal particles near jamming