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We study the vibrational modes of three-dimensional jammed packings of soft ellipsoids of revolution as a function of particle aspect ratio $\epsilon$ and packing fraction. At the jamming transition for ellipsoids, as distinct from the…

Soft Condensed Matter · Physics 2009-11-08 Z. Zeravcic , N. Xu , A. J. Liu , S. R. Nagel , W. van Saarloos

Amorphous packings of frictionless, spherical particles are isostatic at jamming onset, with the number of constraints (contacts) equal to the number of degrees of freedom. Their structural and mechanical properties are controlled by the…

Soft Condensed Matter · Physics 2013-05-14 Stefanos Papanikolaou , Corey S. O'Hern , Mark D. Shattuck

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 number at the transition so that jammed packings exist only…

Soft Condensed Matter · Physics 2015-06-04 Carl P. Goodrich , Andrea J. Liu , Sidney R. Nagel

We use large scale computer simulations and finite size scaling analysis to study the shear rheology of dense three-dimensional suspensions of frictionless non-Brownian particles in the vicinity of the jamming transition. We perform…

Soft Condensed Matter · Physics 2015-04-06 Takeshi Kawasaki , Daniele Coslovich , Atsushi Ikeda , Ludovic Berthier

We investigate the jamming transition in packings of emulsions and granular materials via molecular dynamics simulations. The emulsion model is composed of frictionless droplets interacting via nonlinear normal forces obtained using…

Soft Condensed Matter · Physics 2009-11-11 H. P. Zhang , H. A. Makse

We report on the critical properties of minimaly-polydisperse crystals, hexagonal in 2d and face-centered cubic in 3 dimensions, at the isostatic jamming point. The force and gap distributions display power-law tails for small values. The…

Soft Condensed Matter · Physics 2021-10-27 Georgios Tsekenis

We perform computational studies of static packings of a variety of nonspherical particles including circulo-lines, circulo-polygons, ellipses, asymmetric dimers, and dumbbells to determine which shapes form hypostatic versus isostatic…

Soft Condensed Matter · Physics 2018-01-24 Kyle VanderWerf , Weiwei Jin , Mark D. Shattuck , Corey S. O'Hern

We numerically investigate the mechanical properties of static packings of ellipsoidal particles in 2D and 3D over a range of aspect ratio and compression $\Delta \phi$. While amorphous packings of spherical particles at jamming onset…

Soft Condensed Matter · Physics 2015-06-03 Carl F. Schreck , Mitch Mailman , Bulbul Chakraborty , Corey S. O'Hern

Recent ideas based on the properties of assemblies of frictionless particles in mechanical equilibrium provide a perspective of amorphous systems different from that offered by the traditional approach originating in liquid theory. The…

Statistical Mechanics · Physics 2009-07-09 R. Mari , F. Krzakala , J. Kurchan

The unconventional thermal properties of jammed amorphous solids are directly related to their density of vibrational states. While the vibrational spectrum of jammed soft sphere solids has been fully described, the vibrational spectrum of…

Soft Condensed Matter · Physics 2020-07-01 Francesco Arceri , Eric I. Corwin

While the rheology of non-Brownian suspensions in the dilute regime is well-understood, their behavior in the dense limit remains mystifying. As the packing fraction of particles increases, particle motion becomes more collective, leading…

Soft Condensed Matter · Physics 2015-06-03 Edan Lerner , Gustavo Düring , Matthieu Wyart

Jamming is an athermal transition between flowing and rigid states in amorphous systems such as granular matter, colloidal suspensions, complex fluids and cells. The jamming transition seems to display mixed aspects of a first-order…

Soft Condensed Matter · Physics 2024-11-04 Yue Deng , Deng Pan , Yuliang Jin

Amorphous materials as diverse as foams, emulsions, colloidal suspensions and granular media can {\em jam} into a rigid, disordered state where they withstand finite shear stresses before yielding. The jamming transition has been studied…

Soft Condensed Matter · Physics 2016-07-06 Gijs Katgert , Brian P. Tighe , Martin van Hecke

We have studied how 2- and 3- dimensional systems made up of particles interacting with finite range, repulsive potentials jam (i.e., develop a yield stress in a disordered state) at zero temperature and applied stress. For each…

Soft Condensed Matter · Physics 2007-05-23 C. S. O'Hern , L. E. Silbert , A. J. Liu , S. R. Nagel

We study shear-driven jamming of ellipsoidal particles at zero temperature with a focus on the microscopic dynamics. We find that a change from spherical particles to ellipsoids with aspect ratio $\alpha=1.02$ gives dramatic changes of the…

Soft Condensed Matter · Physics 2020-12-30 Yann-Edwin Keta , Peter Olsson

We numerically study the vibrations of jammed packings of particles interacting with finite-range, repulsive potentials at zero temperature. As the packing fraction $\phi$ is lowered towards the onset of unjamming at $\phi_{c}$, the density…

Soft Condensed Matter · Physics 2009-11-11 L. E. Silbert , A. J. Liu , S. R. Nagel

The jamming transition of frictionless athermal particles is a paradigm to understand the mechanics of amorphous materials at the atomic scale. Concepts related to the jamming transition and the mechanical response of jammed packings have…

Soft Condensed Matter · Physics 2025-02-07 Alessio Zaccone

We poorly understand the properties of amorphous systems at small length scales, where a continuous elastic description breaks down. This is apparent when one considers their vibrational and transport properties, or the way forces propagate…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthieu Wyart

As a function of packing fraction at zero temperature and applied stress, an amorphous packing of spheres exhibits a jamming transition where the system is sensitive to boundary conditions even in the thermodynamic limit. Upon further…

Soft Condensed Matter · Physics 2013-11-25 Samuel S. Schoenholz , Carl P. Goodrich , Oleg Kogan , Andrea J. Liu , Sidney R. Nagel

We theoretically calculate the average fraction of frozen particles in rectangular systems of arbitrary dimensions for the Kob-Andersen and Fredrickson-Andersen kinetically-constrained models. We find the aspect ratio of the rectangle's…

Statistical Mechanics · Physics 2012-11-28 Eial Teomy , Yair Shokef