We numerically produce fully amorphous assemblies of frictionless spheres in three
dimensions and study the jamming transition these packings undergo at large volume …

Amorphous packings of nonspherical particles such as ellipsoids and spherocylinders are
known to be hypostatic: The number of mechanical contacts between particles is smaller …

Recent studies show that volume fractions φ J at the jamming transition of frictionless hard
spheres and disks are not uniquely determined but exist over a continuous range. Motivated …

In the first part of this paper, we derive the general replica equations that describe infinite-
dimensional hard spheres at any level of replica symmetry breaking (RSB) and in particular …

We present an analysis of finite-size effects in jammed packings of N soft, frictionless
spheres at zero temperature. There is a 1 N correction to the discrete jump in the contact …

Using sedimentation to obtain precisely controlled packings of noncohesive spheres, we
find that the volume fraction ϕ RLP of the loosest mechanically stable packing is in an …

The role of the friction coefficient, μ, on the jamming properties of disordered, particle
packings is studied using computer simulations. Compressed, soft-sphere packings are …

We conduct numerical simulations of random packings of frictionless particles at T= 0. The
packing fraction where the pressure becomes nonzero is the same as the jamming …

The requirement that packings of frictionless hard spheres, arguably the simplest structural
glass, cannot be compressed by rearranging their network of contacts is shown to yield a …

At densities higher than the jamming transition for athermal, frictionless repulsive spheres
we find two distinct length scales, both of which diverge as a power law as the transition is …