Critical Scaling of Shearing Rheology at the Jamming Transition of Soft-Core Frictionless Disks

We perform numerical simulations to determine the shear stress and pressure of steady-state shear flow in a soft-disk model in two dimensions at zero temperature in the vicinity of the jamming transition ϕJ. We use critical point scaling analyses to determine the critical behavior at jamming, and we find that it is crucial to include corrections to scaling for a reliable analysis. We find that the relative size of these corrections are much smaller for pressure than for shear stress. We furthermore find a superlinear behavior for pressure and shear stress above ϕJ, both from the scaling analysis and from a direct analysis of pressure data extrapolated to the limit of vanishing shear rate