Non-local effects in inhomogeneous flows of soft athermal disks

Abstract

We numerically investigate non-local effects on inhomogeneous flows of soft athermal disks close to but below their jamming transition. We employ molecular dynamics to simulate Kolmogorov flows, in which a sinusoidal flow profile with fixed wave number is externally imposed, resulting in a spatially inhomogeneous shear rate. We find that the resulting rheology is strongly wave number-dependent, and that particle migration, while present, is not sufficient to describe the resulting stress profiles within a conventional local model. We show that, instead, stress profiles can be captured with non-local constitutive relations that account for gradients to fourth order. Unlike nonlocal flow in yield stress fluids, we find no evidence of a diverging length scale.

5 pages, 4 figures

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Cited by in corpus (6)

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• A unified description of gravity- and kinematics-induced segregation forces in dense granular flows
• Stress relaxation above and below the jamming transition
• Segregation forces in dense granular flows: Closing the gap from single intruders to mixtures
• Fine particle percolation in a sheared granular bed
• Dense bidisperse suspensions under non-homogenous shear