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By means of two-dimensional contact dynamics simulations, we analyze the vibrational dynamics of a confined granular layer in response to harmonic forcing. We use irregular polygonal grains allowing for strong variability of solid fraction.…

Classical Physics · Physics 2016-08-16 Emilien Azema , Farhang Radjaï , Robert Peyroux , Frédéric Dubois , Gilles Saussine

Criticality in statistical physics naturally emerges at isolated points in the phase diagram. Jamming of spheres is not an exception: varying density, it is the critical point that separates the unjammed phase where spheres do not overlap…

Disordered Systems and Neural Networks · Physics 2019-09-18 Silvio Franz , Antonio Sclocchi , Pierfrancesco Urbani

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

By calculating the linear response of packings of soft frictionless discs to quasistatic external perturbations, we investigate the critical scaling behavior of their elastic properties and non-affine deformations as a function of the…

Soft Condensed Matter · Physics 2010-01-20 Wouter G. Ellenbroek , Martin van Hecke , Wim van Saarloos

We numerically investigate stress relaxation in soft athermal disks to reveal critical slowing down when the system approaches the jamming point. The exponents describing the divergence of the relaxation time differ dramatically depending…

Soft Condensed Matter · Physics 2020-03-25 Kuniyasu Saitoh , Takahiro Hatano , Atsushi Ikeda , Brian P. Tighe

The existence of universal scaling in the vicinity of the jamming transition of sheared granular materials is predicted by a phenomenology. The critical exponents are explicitly determined, which are independent of the spatial dimension.…

Statistical Mechanics · Physics 2009-04-03 Michio Otsuki , Hisao Hayakawa

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

Athermal packings of soft repulsive spheres exhibit a sharp jamming transition in the thermodynamic limit. Upon further compression, various structural and mechanical properties display clean power-law behavior over many decades in…

Soft Condensed Matter · Physics 2015-01-05 Carl P. Goodrich , Simon Dagois-Bohy , Brian P. Tighe , Martin van Hecke , Andrea J. Liu , Sidney R. Nagel

The dynamical properties of a dense horizontally vibrated bidisperse granular monolayer are experimentally investigated. The quench protocol produces states with a frozen structure of the assembly, but the remaining degrees of freedom…

Soft Condensed Matter · Physics 2008-08-26 F. Lechenault , O. Dauchot , G. Biroli , J. -P. Bouchaud

The concept of jamming has attracted great research interest due to its broad relevance in soft matter such as liquids, glasses, colloids, foams, and granular materials, and its deep connection to the sphere packing problem and optimization…

Soft Condensed Matter · Physics 2021-04-07 Yuliang Jin , Hajime Yoshino

The rheology of suspensions of non-Brownian soft spheres is studied across jamming but also across the viscous and inertial regimes using a custom pressure- and volume-imposed rheometer. The study shows that the granular rheology found for…

Soft Condensed Matter · Physics 2024-06-28 Franco Tapia , Chong-Wei Hong , Pascale Aussillous , Élisabeth Guazzelli

We propose a scaling ansatz for the elastic energy of a system near the critical jamming transition in terms of three relevant fields: the compressive strain $\Delta \phi$ relative to the critical jammed state, the shear strain $\epsilon$,…

Soft Condensed Matter · Physics 2015-10-14 Carl P. Goodrich , Andrea J. Liu , James P. Sethna

We track the motion of a horizontally vibrated amorphous assembly of bidisperse hard disks, for densities ranging across the jamming transition. We derive on very general grounds a bound on the dynamical susceptibility in terms of the…

Soft Condensed Matter · Physics 2008-08-26 F. Lechenault , O. Dauchot , G. Biroli , J. P. Bouchaud

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

Statistical Mechanics · Physics 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

The shear response of soft solids can be modeled with linear elasticity, provided the forcing is slow and weak. Both of these approximations must break down when the material loses rigidity, such as in foams and emulsions at their…

Soft Condensed Matter · Physics 2016-07-06 Julia Boschan , Daniel Vagberg , Ellak Somfai , Brian P. Tighe

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

We investigate the vibrational properties of polycrystalline monodisperse and disordered bidisperse granular packings during jamming and unjamming using discrete element method simulations. Both systems deviate from Debye scaling at low…

Soft Condensed Matter · Physics 2025-06-23 Juan C. Petit , Saswati Ganguly , Matthias Sperl

We study, by computer simulations, the role of different dissipation forces on the rheological properties of highly-dense particle-laden flows. In particular, we are interested in the close-packing limit (jamming) and the question if…

Soft Condensed Matter · Physics 2014-05-27 Moumita Maiti , Claus Heussinger

The dynamics of a bi-dimensional dense granular packing under cyclic shear is experimentally investigated close to the jamming transition. Measurement of multi-point correlation functions are produced. The self-intermediate scattering…

Statistical Mechanics · Physics 2007-10-16 O. Dauchot , G. Marty , G. Biroli

In 2005, Wyart et al. (Europhys. Lett., 72 (2005) 486) showed that the low frequency vibrational properties of jammed amorphous sphere packings can be understood in terms of a length scale, called l*, that diverges as the system becomes…

Soft Condensed Matter · Physics 2013-11-25 Carl P. Goodrich , Wouter G. Ellenbroek , Andrea J. Liu