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We investigate a stochastic model describing a column of grains in the jamming limit, in the presence of a low vibrational intensity. The key control parameter of the model, $\epsilon$, is a representation of granular shape, related to the…

Statistical Mechanics · Physics 2007-05-23 J. M. Luck , Anita Mehta

We present a stochastic model of dynamically interacting grains in one dimension, in the presence of a low vibrational intensity, to investigate the effect of shape on the statics and dynamics of the compaction process. Regularity and…

Statistical Mechanics · Physics 2007-05-23 Anita Mehta , J. M. Luck

The compacting of a column of grains has been studied using a one-dimensional Ising model with long range directed interactions in which down and up spins represent orientations of the grain having or not having an associated void. When the…

Statistical Mechanics · Physics 2012-03-09 L. S. Schulman , J. M. Luck , Anita Mehta

The two most commonly used methods to model the behaviour of granular flows are discrete element and continuum mechanics simulations. These approaches concentrate on the deterministic description of particle or bulk material motion. Unlike…

Soft Condensed Matter · Physics 2025-01-15 Benjy Marks , Shivakumar Athani , Itai Einav

Two models are presented to study the influence of slow dynamics on granular compaction. It is found in both cases that high values of packing fraction are achieved only by the slow relaxation of cooperative structures. Ongoing work to…

Soft Condensed Matter · Physics 2009-10-31 Anita Mehta , G. C. Barker

We present an experimental study of the compaction dynamics for two-dimensional anisotropic granular systems. Compaction dynamics is measured at three different scales : (i) the macroscopic scale through the packing fraction $\rho$, (ii)…

Disordered Systems and Neural Networks · Physics 2009-11-11 G. Lumay , N. Vandewalle

We study the dynamics of a glassy model with infinite range interactions externally driven by an oscillatory force. We find a well-defined transition in the (Temperature-Amplitude-Frequency) phase diagram between (i) a `glassy' state…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier , Leticia F. Cugliandolo , Jose Luis Iguain

We introduce a theoretical model for the compaction of granular materials by discrete vibrations which is expected to hold when the intensity of vibration is low. The dynamical unit is taken to be clusters of granules that belong to the…

Statistical Mechanics · Physics 2009-10-30 D. A. Head , G. J. Rodgers

We proposed a toy model of granular compaction which includes some resistance due to granular arches. In this model, the solid/solid friction of contacting grains is a key parameter and a slipping threshold Wc is defined. Realistic…

Other Condensed Matter · Physics 2009-11-10 F. Ludewig , S. Dorbolo , N. Vandewalle

We present a simple model of a vibrated box of sand, and discuss its dynamics in terms of two parameters reflecting static and dynamic disorder respectively. The fluidised, intermediate and frozen (`glassy') dynamical regimes are…

Condensed Matter · Physics 2009-11-07 Peter F. Stadler , Anita Mehta , Jean-Marc Luck

By means of a simple model system, the total volume fluctuations of a tapped granular material in the steady state are studied. In the limit of a system with a large number of particles, they are found to be Gaussian distributed, and…

Statistical Mechanics · Physics 2010-04-20 J. J. Brey , A. Prados

We discuss the use of a ferromagnetic spin model on a random graph to model granular compaction. A multi-spin interaction is used to capture the competition between local and global satisfaction of constraints characteristic for geometric…

Disordered Systems and Neural Networks · Physics 2009-11-07 Johannes Berg , Anita Mehta

Our model of shaken sand, presented in earlier work, has been extended to include a more realistic `glassy' state, i.e., when the sandbox is shaken at very low intensities of vibration. We revisit some of our earlier results, and compare…

Disordered Systems and Neural Networks · Physics 2016-11-23 Peter F. Stadler , Anita Mehta , J. M. Luck

Elastic and dissipative properties of granular assemblies under uniaxial compression are studied both experimentally and by numerical simulations. Following a novel compaction procedure at varying oscillatory pressures, the stress response…

Soft Condensed Matter · Physics 2009-11-11 Jasna Brujic , Ping Wang , Chaoming Song , David L. Johnson , Olivier Sindt , Hernan A. Makse

We study the low temperature dynamics of a two dimensional short-range spin system with uniform ferromagnetic interactions, which displays glassiness at low temperatures despite the absence of disorder or frustration. The model has a dual…

Disordered Systems and Neural Networks · Physics 2009-10-31 Juan P. Garrahan , M. E. J. Newman

Experimental data suggest that the Earth short time dynamics is related to stochastic fluctuation of its shape. As a first approach to this problem, we derive a toy-model for the motion of a rotating ellipsoid in the framework of stochastic…

Mathematical Physics · Physics 2015-07-23 Etienne Behar , Jacky Cresson , Frédéric Pierret

Granular matter is comprised of a large number of particles whose collective behavior determines macroscopic properties such as flow and mechanical strength. A comprehensive theory of the properties of granular matter, therefore, requires a…

Statistical Mechanics · Physics 2009-11-13 Silke Henkes , Corey S. O'Hern , Bulbul Chakraborty

We present a mesoscopic approach to granular crystal dynamics, which comprises a three-dimensional finite-element model and a one-dimensional regularized contact model. The approach investigates the role of vibrational-energy trapping…

Materials Science · Physics 2016-02-09 Marcial Gonzalez , Jinkyu Yang , Chiara Daraio , Michael Ortiz

The compaction dynamics of a granular media subject to a sequence of vertical taps made of fluid pulses is investigated via Molecular Dynamics simulations. Our study focuses on three different levels: macroscopic (volume fraction),…

Soft Condensed Matter · Physics 2007-05-23 Massimo Pica Ciamarra , Mario Nicodemi , Antonio Coniglio

We experimentally investigate the statistical behaviour of a model two-dimensional granular system undergoing stationary sedimentation. Buoyant cylindrical particles are rotated in liquid-filled drum, thus confined in a harmonic centripetal…

Soft Condensed Matter · Physics 2019-05-01 Nariaki Sakaï , Sébastien Moulinet , Frédéric Lechenault , Mokhtar Adda-Bedia
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