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Recent theoretical advances offer an exact, first-principle theory of jamming criticality in infinite dimension as well as universal scaling relations between critical exponents in all dimensions. For packings of frictionless spheres near…

Statistical Mechanics · Physics 2015-04-21 P. Charbonneau , E. I. Corwin , G. Parisi , F. Zamponi

The mechanical response of packings of purely repulsive, spherical particles to athermal, quasistatic simple shear near jamming onset is highly nonlinear. Previous studies have shown that, at small pressure $p$, the ensemble-averaged static…

Soft Condensed Matter · Physics 2020-01-29 Kyle VanderWerf , Arman Boromand , Mark D. Shattuck , Corey S. O'Hern

The aim of this paper is to review and discuss qualitatively some results on the properties of amorphous packings of hard spheres that were recently obtained by means of the replica method. The theory gives predictions for the equation of…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. Zamponi

We show that an analogy between crowding in fluid and jammed phases of hard spheres captures the density dependence of the kissing number for a family of numerically generated jammed states. We extend this analogy to jams of mixtures of…

Motivated by neutral excitations in disordered electronic materials and systems of trapped ultracold particles with long-range interactions, we study energy-level statistics of quasiparticles with the power-law hopping Hamiltonian $\propto…

Disordered Systems and Neural Networks · Physics 2018-07-25 Paraj Titum , Victor L. Quito , Sergey V. Syzranov

At low volume fraction, disordered arrangements of frictionless spheres are found in un--jammed states unable to support applied stresses, while at high volume fraction they are found in jammed states with mechanical strength. Here we show,…

Soft Condensed Matter · Physics 2015-03-17 Massimo Pica Ciamarra , Antonio Coniglio , Antonio de Candia

The local structure of disordered jammed packings of monodisperse spheres without friction, generated by the Lubachevsky-Stillinger algorithm, is studied for packing fractions above and below 64%. The structural similarity of the particle…

Soft Condensed Matter · Physics 2015-06-04 Sebastian C. Kapfer , Walter Mickel , Klaus Mecke , Gerd E. Schröder-Turk

Packings of frictionless athermal particles that interact only when they overlap experience a jamming transition as a function of packing density. Such packings provide the foundation for the theory of jamming. This theory rests on the…

Soft Condensed Matter · Physics 2015-01-05 Carl P. Goodrich , Andrea J. Liu , Sidney R. Nagel

We experimentally study the jamming of quasi-two-dimensional emulsions. Our experiments consist of oil-in-water emulsion droplets confined between two parallel plates. From the droplet outlines, we can determine the forces between every…

Soft Condensed Matter · Physics 2013-02-28 Kenneth W. Desmond , Pearl J. Young , Dandan Chen , Eric R. Weeks

Maximally random jammed (MRJ) sphere packing is a prototypical example of a system naturally poised at the margin between underconstraint and overconstraint. This marginal stability has traditionally been understood in terms of…

Statistical Mechanics · Physics 2014-08-25 Yoav Kallus , Salvatore Torquato

Liquid-state theory, computer simulation, and numerical optimization are used to investigate the extent to which positional correlations of a hard-sphere fluid--as characterized by the radial distribution function and the two-particle…

Soft Condensed Matter · Physics 2016-03-23 Ryan B. Jadrich , Beth A. Lindquist , Jonathan A. Bollinger , Thomas M. Truskett

To study the interplay of jamming, cluster formation, and motility-induced phase separation in the zero temperature limit in two dimensions, we consider a simple model system consisting of a bidisperse mixture of disks that are only subject…

Soft Condensed Matter · Physics 2023-06-16 Michael Schmiedeberg

The Percus-Yevick theory for monodisperse hard spheres gives very good results for the pressure and structure factor of the system in a whole range of densities that lie within the liquid phase. However, the equation seems to lead to a very…

Statistical Mechanics · Physics 2019-02-01 Eytan Katzav , Ruslan Berdichevsky , Moshe Schwartz

Jamming occurs when objects like grains are packed tightly together (e.g. grain silos). It is highly cooperative and can lead to phenomena like earthquakes, traffic jams, etc. In this Letter we point out the paramount importance of the…

Disordered Systems and Neural Networks · Physics 2018-06-27 Varda F. Hagh , Eric I. Corwin , Kenneth Stephenson , M. F. Thorpe

A random packing of hard particles represents a fundamental model for granular matter. Despite its importance, analytical modeling of random packings remains difficult due to the existence of strong correlations which preclude the…

Soft Condensed Matter · Physics 2014-05-27 Yuliang Jin , James G. Puckett , Hernan A. Makse

Hyperuniform many-particle distributions possess a local number variance that grows more slowly than the volume of an observation window, implying that the local density is effectively homogeneous beyond a few characteristic length scales.…

Statistical Mechanics · Physics 2015-05-27 Chase E. Zachary , Yang Jiao , Salvatore Torquato

Steady-state pair correlations between inelastic granular beads in a vertically shaken, quasi two-dimensional cell can be mapped onto the particle correlations in a truly two-dimensional reference fluid in thermodynamic equilibrium. Using…

Soft Condensed Matter · Physics 2019-06-12 Gustavo M. Rodríguez-Liñán , Marco Heinen

By means of contact dynamic simulations, we investigate the contact network topology and force chains in two-dimensional packings of elongated particles modeled by rounded-cap rectangles. The morphology of large packings of elongated…

Classical Physics · Physics 2015-05-30 Émilien Azema , Farhang Radjaï

The problem of finding the most efficient way to pack spheres has an illustrious history, dating back to the crystalline arrays conjectured by Kepler and the random geometries explored by Bernal in the 60's. This problem finds applications…

Soft Condensed Matter · Physics 2014-09-15 Ping Wang , Chaoming Song , Yuliang Jin , Hernan A. Makse

When weakly jammed packings of soft, viscous, non-Brownian spheres are probed mechanically, they respond with a complex admixture of elastic and viscous effects. While many of these effects are understood for specific, approximate models of…

Soft Condensed Matter · Physics 2018-04-16 Karsten Baumgarten , Brian P. Tighe