Despite decades of work, gaining a first-principles understanding of amorphous materials
remains an extremely challenging problem. However, recent theoretical breakthroughs have …

Jamming is a ubiquitous phenomenon that appears in many soft matter systems, including
granular materials, foams, colloidal suspensions, emulsions, polymers, and cells—when …

In contrast with crystallization, there is no noticeable structural change at the glass transition.
Characteristic features of glassy dynamics that appear below an onset temperature, T 0 …

The low-frequency vibrational and low-temperature thermal properties of amorphous solids
are markedly different from those of crystalline solids. This situation is counterintuitive …

Deep learning has been immensely successful at a variety of tasks, ranging from
classification to artificial intelligence. Learning corresponds to fitting training data, which is …

Glassy solids exhibit a wide variety of generic thermomechanical properties, ranging from
universal anomalous specific heat at cryogenic temperatures to nonlinear plastic yielding …

Low-frequency vibrational modes play a central role in determining various basic properties
of glasses, yet their statistical and mechanical properties are not fully understood. Using …

In 1989, Sir Sam Edwards made the visionary proposition to treat jammed granular materials
using a volume ensemble of equiprobable jammed states in analogy to thermal equilibrium …

We report an analytical study of the vibrational spectrum of the simplest model of jamming,
the soft perceptron. We identify two distinct classes of soft modes. The first kind of modes are …

We revisit the concept of marginal stability in glasses and determine its range of applicability
in the context of an avalanche-type response to slow external driving. We argue that there is …