Jamming of packings of frictionless particles with and without shear
Zheng Wen, Zhang Shiyun, Xu Ning
       

(color online) (a) Average packing fraction ϕ as a function of pressure p for different system sizes (specified in the legend) in two-dimensions. The solid lines are guides for the eye. (b) Distributions of ϕ, P (ϕ), at p = 10−5 for different system sizes. From the left to the right, N = 16, 64, 256, and 1024, respectively. Inset: system size N evolution of the gap of the jamming transition thresholds between infinitely large and finite size systems, ϕJ∞φJ. The thin line is a guide for the eye. The short thick line has a slope of −0.616.