The jamming transition and the marginally jammed solid

AJ Liu, SR Nagel - Annu. Rev. Condens. Matter Phys., 2010 - annualreviews.org
When a system jams, it undergoes a transition from a flowing to a rigid state. Despite this
important change in the dynamics, the internal structure of the system remains disordered in …

Jammed hard-particle packings: From Kepler to Bernal and beyond

S Torquato, FH Stillinger - Reviews of modern physics, 2010 - APS
Understanding the characteristics of jammed particle packings provides basic insights into
the structure and bulk properties of crystals, glasses, and granular media and into selected …

50th Anniversary Perspective: Challenges in the Dynamics and Kinetics of Glass-Forming Polymers

GB McKenna, SL Simon - Macromolecules, 2017 - ACS Publications
The phenomenology of the glass transition and the associated behavior in the near liquid
and glassy states are detailed, including the cooling rate dependence of the glass transition …

Mean-field theory of hard sphere glasses and jamming

G Parisi, F Zamponi - Reviews of Modern Physics, 2010 - APS
Hard spheres are ubiquitous in condensed matter: they have been used as models for
liquids, crystals, colloidal systems, granular systems, and powders. Packings of hard …

Glass transition thermodynamics and kinetics

FH Stillinger, PG Debenedetti - Annu. Rev. Condens. Matter …, 2013 - annualreviews.org
The remarkable kinetic slowdown experienced by liquids as they are cooled toward their
glass transition is not accompanied by any obvious structural change. Understanding the …

Influence of particle size distribution on random close packing of spheres

KW Desmond, ER Weeks - Physical Review E, 2014 - APS
The densest amorphous packing of rigid particles is known as random close packing. It has
long been appreciated that higher densities are achieved by using collections of particles …

Packing hyperspheres in high-dimensional Euclidean spaces

M Skoge, A Donev, FH Stillinger, S Torquato - Physical Review E—Statistical …, 2006 - APS
We present a study of disordered jammed hard-sphere packings in four-, five-, and six-
dimensional Euclidean spaces. Using a collision-driven packing generation algorithm, we …

Configurational entropy of glass-forming liquids

L Berthier, M Ozawa, C Scalliet - The Journal of chemical physics, 2019 - pubs.aip.org
The configurational entropy is one of the most important thermodynamic quantities
characterizing supercooled liquids approaching the glass transition. Despite decades of …

Perspective: Basic understanding of condensed phases of matter via packing models

S Torquato - The Journal of chemical physics, 2018 - pubs.aip.org
Packing problems have been a source of fascination for millennia and their study has
produced a rich literature that spans numerous disciplines. Investigations of hard-particle …

Long-wavelength fluctuations and the glass transition in two dimensions and three dimensions

S Vivek, CP Kelleher, PM Chaikin… - Proceedings of the …, 2017 - pnas.org
Phase transitions significantly differ between 2D and 3D systems, but the influence of
dimensionality on the glass transition is unresolved. We use microscopy to study colloidal …