Critical Scaling of Compression-Driven Jamming of Frictionless Spheres

We numericaly study the jamming transition of athermal, overdamped, frictionless spheres in two and three dimensions, compressed isotropically at a fixed rate γ. The finite compression rate introduces a control time scale, which allows one to probe the critical time scale associated with jamming. As was found previously for steady-state shear-driven jamming, we find for compression-driven jamming that pressure obeys a critical scaling relation as a function of packing fraction φ and compression rate γ, and that the bulk viscosity p/γ diverges upon jamming. A scaling analysis determines the critical exponents associated with the compression-driven jamming transition. Our results suggest that stress-isotropic, compression-driven, jamming may be in the same universality class as stress-anisotropic, shear-driven, jamming.