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Related papers: A thermodynamic unification of jamming

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We study the rheology of amorphous packings of soft, frictionless particles close to jamming. Implementing a quasistatic simulation method we generate a well defined ensemble of states that directly samples the system at its yield-stress. A…

Soft Condensed Matter · Physics 2010-06-28 Claus Heussinger , Jean-Louis Barrat

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

Building on the recent solution for the spectrum of the non-commutative well in two dimensions, the thermodynamics that follows from it is computed. In particular the focus is put on an ideal fermion gas confined to such a well. At low…

High Energy Physics - Theory · Physics 2008-12-18 F G Scholtz , J Govaerts

A granular-matter model is exactly solved, where disks of two sizes and weights in alternating sequence are confined to a narrow channel. The axis of the channel is horizontal and its plane vertical. Disk sizes and channel width are such…

Soft Condensed Matter · Physics 2020-11-23 Dan Liu , Gerhard Müller

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

This paper describes methods to measure flow rate and jamming onset of granules discharged through a flat-bottom cylindrical hopper with a circular orifice. The intrinsic jamming onset for ideal particles (spherical, monodisperse, smooth)…

Soft Condensed Matter · Physics 2015-10-16 Paul Mort

A molecular theory of the glass transition of network forming liquids is developed using a combination of self-consistent phonon and liquid state approaches. Both the dynamical transition and the entropy crisis characteristic of random…

Condensed Matter · Physics 2009-11-07 Randall W. Hall , Peter G. Wolynes

We find that in simulations of quasi-statically sheared frictional disks, the shear jamming transition can be characterized by an abrupt jump in the number of force bearing contacts between particles. This mechanical coordination number…

Soft Condensed Matter · Physics 2020-04-07 H. A. Vinutha , Kabir Ramola , Bulbul Chakraborty , Srikanth Sastry

Although jammed granular systems are athermal, several thermodynamic-like descriptions have been proposed which make quantitative predictions about the distribution of volume and stress within a system and provide a corresponding…

Soft Condensed Matter · Physics 2015-06-05 James G. Puckett , Karen E. Daniels

We provide a comprehensive picture of the jamming phase diagram by connecting the athermal, granular ensemble of jammed states and the equilibrium fluid through the inherent structure paradigm for a system hard discs confined to a narrow…

Soft Condensed Matter · Physics 2015-06-11 S. S. Ashwin , Mahdi Zaeifi Yamchi , Richard. K. Bowles

We explore numerically the shear rheology of soft repulsive particles at large volume fraction. The interplay between viscous dissipation and thermal motion results in multiple rheological regimes encompassing Newtonian, shear-thinning and…

Soft Condensed Matter · Physics 2012-07-10 Atsushi Ikeda , Ludovic Berthier , Peter Sollich

In marginally jammed solids confined by walls, we calculate the particle and ensemble averaged value of an order parameter, $\left<\Psi(r)\right>$, as a function of the distance to the wall, $r$. Being a microscopic indicator of structural…

Soft Condensed Matter · Physics 2021-01-26 Jun Liu , Hua Tong , Yunhuan Nie , Ning Xu

Despite decades of work, gaining a first-principle understanding of amorphous materials remains an extremely challenging problem. However, recent theoretical breakthroughs have led to the formulation of an exact solution in the mean-field…

Disordered Systems and Neural Networks · Physics 2017-04-20 Patrick Charbonneau , Jorge Kurchan , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

Granular materials such as sand, powders, and grains are omnipresent in daily life, industrial applications, and earth-science [1]. When unperturbed, they form stable structures that resemble the ones of other amorphous solids like metallic…

Soft Condensed Matter · Physics 2023-01-19 Ye Yuan , Zhikun Zeng , Yi Xing , Houfei Yuan , Shuyang Zhang , Walter Kob , Yujie Wang

In order to study analytically the nature of the jamming transition in granular material, we have considered a cavity method mean field theory, in the framework of a statistical mechanics approach, based on Edwards' original idea. For…

Statistical Mechanics · Physics 2009-11-10 A. Fierro , M. Nicodemi , M. Tarzia , A. de Candia , A. Coniglio

Shear-banding is a curious but ubiquitous phenomenon occurring in soft matter. The phenomenological similarities between the shear-banding transition and phase transitions has pushed some researchers to adopt a 'thermodynamical' approach,…

Soft Condensed Matter · Physics 2011-07-08 M. A. Fardin , T. J. Ober , C. Gay , G. Grégoire , G. H. McKInley , S. Lerouge

We present a novel mechanism for the anomalous behaviour of the specific heat in low-temperature amorphous solids. The analytic solution of a mean-field model belonging to the same universality class as high-dimensional glasses, the…

Disordered Systems and Neural Networks · Physics 2019-07-29 Silvio Franz , Thibaud Maimbourg , Giorgio Parisi , Antonello Scardicchio

We report on grain dynamics versus depth for steady-state gravity-driven flow of grains along a heap formed between two parallel sidewalls. Near the surface the flow is steady and fast, while far below there is no flow whatsoever;…

Soft Condensed Matter · Physics 2010-11-03 H. Katsuragi , A. R. Abate , D. J. Durian

We present the study of the landscape structure of athermal soft spheres both as a function of the packing fraction and of the energy. We find that, on approaching the jamming transition, the number of different configurations available to…

Statistical Mechanics · Physics 2020-05-20 Claudia Artiaco , Paolo Baldan , Giorgio Parisi

Under an applied traction, highly concentrated suspensions of solid particles in fluids can turn from a state in which they flow to a state in which they counteract the traction as an elastic solid: a shear-jammed state. Remarkably, the…

Soft Condensed Matter · Physics 2021-09-29 Giulio G. Giusteri , Ryohei Seto
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