Scaling properties of granular rheology near the jamming transition

Abstract

Rheological properties of a dense granular material consisting of frictionless spheres are investigated. It is found that the shear stress, the pressure, and the kinetic temperature obey critical scaling near the jamming transition point, which is considered as a critical point. These scaling laws have some peculiar properties in view of conventional critical phenomena because the exponents depend on the interparticle force models so that they are not universal. It is also found that these scaling laws imply the relation between the exponents that describe the growing correlation length.

v2. Some minor comments are added. v3. & v.4 Numerical accuracy is improved

References in corpus (5)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Critical scaling and heterogeneous superdiffusion across the jamming/rigidity transition of a granular glass
• Approach to jamming in an air-fluidized granular bed
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Cited by in corpus (4)

• The glass transition of dense fluids of hard and compressible spheres
• Compressing nearly hard sphere fluids increases glass fragility
• Critical scaling and aging in cooling systems near the jamming transition
• Constitutive equations for granular flow with uniform mean shear and spin fields