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We introduce a lattice model, in which frustration plays a crucial role, to describe relaxation properties of granular media. We show Monte Carlo results for compaction in the presence of vibrations and gravity, which compare well with…

Condensed Matter · Physics 2007-05-23 Mario Nicodemi , Antonio Coniglio , Hans J. Herrmann

On the basis of physical considerations we propose a one-dimensional discrete lattice model for the density relaxation of granular materials under tapping. Solving the difference equation numerically, we find a logarithmic time-dependence…

Soft Condensed Matter · Physics 2009-10-30 Gongwen Peng , Takao Ohta

A one dimensional lattice model is formulated to study tapping dynamics and the long time steady distribution in granular media. The dynamics conserves the number of particles in the system, and density changes are associated to the…

Statistical Mechanics · Physics 2007-05-23 J. J. Brey , A. Prados

We present an analytical and numerical study of a nonlinear diffusion model which describes density relaxation of loosely packed particles under gravity and weak random (thermal) vibration, and compare the results with Monte Carlo…

Soft Condensed Matter · Physics 2009-11-10 Jeferson J. Arenzon , Yan Levin , Mauro Sellitto

Some general dynamical properties of models for compaction of granular media based on master equations are analyzed. In particular, a one-dimensional lattice model with short-ranged dynamical constraints is considered. The stationary state…

Statistical Mechanics · Physics 2009-10-31 A. Prados , J. Javier Brey , B. Sanchez-Rey

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

A simple lattice gas model with random fields and gravity is introduced to describe a system of grains moving in a disordered environment. Off equilibrium relaxations of bulk density and its two time correlation functions are numerically…

Disordered Systems and Neural Networks · Physics 2009-10-31 Marina Piccioni , Mario Nicodemi , Serge Galam

We report new experimental results on granular compaction under consecutive vertical taps. The evolution of the mean volume fraction and of the mean potential energy of a granular packing presents a slow densification until a final…

Statistical Mechanics · Physics 2009-11-07 P. Philippe , D. Bideau

Monte Carlo simulations of coarse-grained polymers provide a useful tool to deepen the understanding of conformational and statistical properties of polymers both in physical as well as in biological systems. In this study we sample compact…

Soft Condensed Matter · Physics 2009-05-07 Manfred Bohn , Dieter W. Heermann

We present detailed analytical studies on the zero temperature coarsening dynamics in an Ising spin chain in presence of a dynamically induced field that favors locally the `-' phase compared to the `+' phase. We show that the presence of…

Statistical Mechanics · Physics 2009-11-07 Satya N. Majumdar , David S. Dean

The density relaxation phenomenon is modeled using both Monte Carlo and dissipative MD simulations to investigate the effects of regular taps applied to a vessel having a planar floor filled with monodisperse spheres. Results suggest the…

Disordered Systems and Neural Networks · Physics 2009-01-05 O. Dybenko , A. D. Rosato , D. J. Horntrop , V. Ratnaswamy , L. Kondic

We present an analytical approach to the out of equilibrium dynamics of a class of kinetic lattice gases under gravity. The location of the jamming transition, the critical exponents, and the scaling functions characterizing the relaxation…

Statistical Mechanics · Physics 2009-10-31 Y. Levin , J. J. Arenzon , M. Sellitto

Experimental studies show that the density of a vibrated granular material evolves from a low density initial state into a higher density final steady state. The relaxation towards the final density value follows an inverse logarithmic law.…

Condensed Matter · Physics 2009-10-28 E. Ben-Naim , J. B. Knight , E. R. Nowak

We show that the main dynamical features of granular media can be understood by means of simple models of fragile-glass forming liquid provided that gravity alone is taken into account. In such lattice-gas models of cohesionless and…

Statistical Mechanics · Physics 2009-10-31 M. Sellitto , J. J. Arenzon

In 2002 Biskup et al. [Europhys. Lett. 60, 21 (2002)] sketched a rigorous proof for the behavior of the 2D Ising lattice gas, at a finite volume and a fixed excess \delta M of particles (spins) above the ambient gas density (spontaneous…

Statistical Mechanics · Physics 2009-07-20 Andreas Nußbaumer , Elmar Bittner , Wolfhard Janke

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 investigate the spatial dependence of the density of vibrated granular beds, using simulations based on a hybrid Monte Carlo algorithm. We find that the initial consolidation is typically inhmogeneous, both in the presence of a constant…

Soft Condensed Matter · Physics 2007-05-23 G. C. Barker , Anita Mehta

A lattice gas model of adsorption inside cylindrical pores is evaluated with Monte Carlo simulations. The model incorporates two kinds of site: (a line of) ``axial'' sites and surrounding ``cylindrical shell'' sites, in ratio 1:7. The…

Statistical Mechanics · Physics 2009-11-10 Raluca A. Trasca , M. Mercedes Calbi , Milton W. Cole , Jose L. Riccardo

Motivated by the large strain shear of loose granular materials we introduced a model which consists of consecutive optimization and restructuring steps leading to a self organization of a density field. The extensive connections to other…

Statistical Mechanics · Physics 2013-05-29 Janos Torok , Supriya Krishnamurthy , Janos Kertesz , Stephane Roux

Dense granular media have a compaction between the random loose and random close packings. For these dense media the concept of a granular pressure depending on compaction is not unanimously accepted because they are often in a "frozen"…

Materials Science · Physics 2016-08-16 Christophe Josserand , Pierre-Yves Lagrée , Daniel Lhuillier
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