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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 demonstrate that the elasticity of jammed solids is nonlocal. By forcing frictionless soft sphere packings at varying wavelength, we directly access their transverse and longitudinal compliances without resorting to curve fitting. The…

Statistical Mechanics · Physics 2017-03-08 Karsten Baumgarten , Daniel Vagberg , Brian P. Tighe

Contact breaking and Hertzian interactions between grains can both give rise to nonlinear vibrational response of static granular packings. We perform molecular dynamics simulations at constant energy in 2D of frictionless bidisperse disks…

Soft Condensed Matter · Physics 2014-04-03 Carl F. Schreck , Corey S. O'Hern , Mark D. Shattuck

Recent computer simulations have uncovered the striking difference between the jamming transition of spherical and non-spherical particles. While systems of spherical particles are isostatic at the jamming point, systems of nonspherical…

Disordered Systems and Neural Networks · Physics 2019-08-29 Harukuni Ikeda , Pierfrancesco Urbani , Francesco Zamponi

A theory for kinetic arrest in isotropic systems of repulsive, radially-interacting particles is presented that predicts exponents for the scaling of various macroscopic quantities near the rigidity transition that are in agreement with…

Materials Science · Physics 2009-11-11 D. A. Head

In stark contrast to the jamming of frictionless hard-sphere (hard-disk if in two dimensions) packings, the critical jamming of frictional packings is much more elusive and still under intense debate. Here we show that frictional hard-disk…

Soft Condensed Matter · Physics 2021-10-15 Aile Sun , Yinqiao Wang , Yangrui Chen , Jin Shang , Xulai Sun , Jie Zheng , Yujie Wang , Jie Zhang

We investigate the formation of polycrystalline structures in a class of particle systems. The atomistic energy is modeled as a sum of particle energies that favor atoms being locally isometric to a reference lattice. The discrete frame…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Leonard Kreutz , Timo Ziereis

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

Continuing on recent computational and experimental work on jammed packings of hard ellipsoids [Donev et al., Science, vol. 303, 990-993] we consider jamming in packings of smooth strictly convex nonspherical hard particles. We explain why…

Materials Science · Physics 2009-11-11 A. Donev , R. Connelly , F. H. Stillinger , S. Torquato

Simple homogeneous shear flows of frictionless, deformable particles are studied by particle simulations at large shear rates and for differently soft, deformable particles. The particle stiffness sets a time-scale that can be used to scale…

Soft Condensed Matter · Physics 2024-07-25 Dalila Vescovi , Stefan Luding

We propose a phase diagram for the shear flow of dry granular particles in two dimensions based on simulations and a phenomenological Landau-theory for a nonequilibrium first order phase transition. Our approach incorporates both frictional…

Soft Condensed Matter · Physics 2014-06-12 Matthias Grob , Claus Heussinger , Annette Zippelius

Jamming, or dynamical arrest, is a transition at which many particles stop moving in a collective manner. In nature it is brought about by, for example, increasing the packing density, changing the interactions between particles, or…

Statistical Mechanics · Physics 2009-11-11 Paolo De Gregorio , Aonghus Lawlor , Phil Bradley , Kenneth A. Dawson

We experimentally investigate jamming in a quasi-two-dimensional granular system of automatically swelling particles and show that a maximum in the height of the first peak of the pair correlation function is a structural signature of the…

Soft Condensed Matter · Physics 2015-05-13 Xiang Cheng

Numerical simulations of soft-core frictionless disks in two dimensions are carried out to study behavior of a simple liquid as a function of thermal temperature $T$, packing fraction $\phi$, and uniform applied shear strain rate…

Soft Condensed Matter · Physics 2013-11-21 Peter Olsson , S. Teitel

We study a two-dimensional, off-lattice particle model introduced to describe absorbing phase transitions in driven non-Brownian suspensions. We numerically explore the $(\phi,\epsilon)$ phase diagram, where $\phi$ is the packing fraction…

Statistical Mechanics · Physics 2026-03-17 Leonardo Galliano , Ludovic Berthier

The connection between friction and jamming in granular media, molecular glasses, and complex fluids is explored. The paper first reviews the way friction is measured, the types of results that are observed, and what is known about the…

Soft Condensed Matter · Physics 2007-05-23 Mark O. Robbins

Understanding the way disordered particle packings transition between jammed (rigid) and unjammed (fluid) states is of both great practical importance and strong fundamental interest. The values of critical packing fraction (and other state…

Soft Condensed Matter · Physics 2026-04-14 Sangwoo Kim , Sascha Hilgenfeldt

The propagation of pressure fronts (impact solutions) in 1D chains of atoms coupled by anharmonic potentials between nearest neighbor and submitted to damping forces preserving uniform motion, is investigated. Travelling fronts between two…

Statistical Mechanics · Physics 2009-10-27 S. Aubry , L. Proville

We investigate the emergence of rigid polycrystalline structures from atomistic particle systems. The atomic interaction is governed by a suitably normalized pair interaction energy, where the `sticky disk' interaction potential models the…

Statistical Mechanics · Physics 2021-03-31 Manuel Friedrich , Leonard Kreutz , Bernd Schmidt

A theory for jammed granular materials is developed with the aid of a nonequilibrium steady-state distribution function. The approximate nonequilibrium steady-state distribution function is explicitly given in the weak dissipation regime by…

Soft Condensed Matter · Physics 2015-08-26 Koshiro Suzuki , Hisao Hayakawa
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