Granular materials consist of macroscopic grains, interacting via contact forces, and
unaffected by thermal fluctuations. They are one of a class systems that undergo jamming, ie …

At the core of equilibrium statistical mechanics lies the notion of statistical ensembles: a
collection of microstates, each occurring with a given a priori probability that depends on …

The mechanical response of naturally abundant amorphous solids such as gels, jammed
grains, and biological tissues are not described by the conventional paradigm of broken …

We develop a framework for stress response in two dimensional granular media, with and
without friction, that respects vector force balance at the microscopic level. We introduce …

A minimal description of the inherent states of amorphous solids is presented. Using field
theory, applicable when a system is probed at long length scales, it is shown that athermal …

We analyse properties of contact networks formed in packings of soft frictionless disks near
the unjamming transition. We construct polygonal tilings and triangulations of the contact …

Using discrete calculus, we derive the missing stress-geometry equation for rigid granular
materials in two dimensions, in the mean-field approximation. We show that i) the equation …

Solids are distinguished from fluids by their ability to resist shear. In traditional solids, the
resistance to shear is associated with the emergence of broken translational symmetry as …

At the core of equilibrium statistical mechanics lies the notion of statistical ensembles: a
collection of microstates, each occurring with a given a priori probability that depends on …