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In this paper, we recall various features of non equilibrium granular systems. Clusters with specific properties are found depending on the packing density, going from loose (a granular gas) to sintered (though brittle) polycrystalline…

Materials Science · Physics 2009-09-29 M. Ausloos , R. Lambiotte , K. Trojan , Z. Koza , M. Pekala

A novel effect in a granular material under swirling motion of the container is presented. At low packing densities the material rotates in the same direction as the swirling motion of the container (rotation). At higher densities the…

Statistical Mechanics · Physics 2009-11-07 Michael A. Scherer , Volkhard Buchholtz , Thorsten Poeschel , Ingo Rehberg

We consider an infinite-dimensional stochastic clustering model on $\mathbb{R}$. In discrete time, each point of a unit-intensity simple point process moves halfway toward either of its left or right neighbors, chosen uniformly at random.…

Probability · Mathematics 2026-03-10 Partha S. Dey , S. Rasoul Etesami , Aditya S. Gopalan

We investigate the down-hill creep of a layer of granular material on a slope caused by an oscillatory variation of the size of the particles. The material is modeled as an athermal two dimensional polydisperse system of soft disks under…

Soft Condensed Matter · Physics 2022-08-31 E. A. Jagla

The evolution of occupied volume under progressive fragmentation of granular matter is studied using a purely geometric model. Rather than modelling disorder directly, properties are investigated by analysing highly ordered reference…

Soft Condensed Matter · Physics 2026-03-25 Malkhazi A. Meladze

Granular materials are involved in most industrial and environmental processes, as well as many civil engineering applications. Although significant advances have been made in understanding the statics and dynamics of cohesionless grains…

Soft Condensed Matter · Physics 2025-11-21 Ram Sudhir Sharma , Alban Sauret

Numerical simulations of assemblies of grains under cyclic loading exhibit ``granular ratcheting'': a small net deformation occurs with each cycle, leading to a linear accumulation of deformation with cycle number. We show that this is due…

Soft Condensed Matter · Physics 2009-11-13 S. McNamara , R. García-Rojo , H. J. Herrmann

We measure experimentally the rearrangements due to a small localized cyclic displacement applied to a packing of rigid grains under gravity in a 2D geometry. We analyze the evolution of the response to this perturbation by considering the…

Soft Condensed Matter · Physics 2009-11-11 E. Kolb , C. Goldenberg , S. Inagaki , E. Clement

Granular material exposed to shear shows a variety of unique phenomena: Reynolds dilatancy, positional order and orientational order effects may compete in the shear zone. We study granular packings consisting of macroscopic prolate, oblate…

Soft Condensed Matter · Physics 2014-08-11 Sandra Wegner , Ralf Stannarius , Axel Boese , Georg Rose , Balázs Szabó , Ellák Somfai , Tamás Börzsönyi

Granular flows during a shear-induced mixing process are studied using Discrete Element Methods. The aim is to understand the underlying elementary mechanisms of transition from unmixed to mixed phases for a granular material featuring a…

We investigate the convergence towards periodic orbits in discrete dynamical systems. We examine the probability that a randomly chosen point converges to a particular neighborhood of a periodic orbit in a fixed number of iterations, and we…

Dynamical Systems · Mathematics 2014-04-21 Jesús San Martín , Mason A. Porter

When objects are packed in a cluster, physical interactions are unavoidable. Such interactions emerge because of the objects geometric features; some of these features promote entanglement, while others create repulsion. When entanglement…

Robotics · Computer Science 2024-07-26 Ashkan Rezanejad , Mostafa Mousa , Matthew Howard , Antonio Elia Forte

Dry granular materials such as sand, gravel, pills, or agricultural grains, can become rigid when compressed or sheared. At low density, one can distort the shape of a container of granular material without encountering any resistance.…

Soft Condensed Matter · Physics 2022-08-08 Yiqiu Zhao , Yuchen Zhao , Dong Wang , Hu Zheng , Bulbul Chakraborty , Joshua E. S. Socolar

Granular materials undergo compaction under periodic temperature fluctuations, leading to various engineering and geological phenomena from landslides to silo compaction. Although thermal effects on granular materials have been extensively…

Soft Condensed Matter · Physics 2025-01-24 Yuxuan Luo , Haiyang Lu , Xinyu Ai , Zelin Liu , Houfei Yuan , Zhuan Ge , Zhikun Zeng , Yujie Wang

Granular materials react to shear stresses differently than do ordinary fluids. Rather than deforming uniformly, materials such as dry sand or cohesionless powders develop shear bands: narrow zones containing large relative particle motion…

Granular materials size segregate when exposed to external periodic perturbations such as vibrations. Moreover, mixtures of grains of different sizes spontaneously segregate in the absence of external perturbations: when a mixture is simply…

Statistical Mechanics · Physics 2015-06-25 Hernan A. Makse , Shlomo Havlin , Peter R. King , H. Eugene Stanley

Stress paths in granular matter often suffer sudden large-scale rearrangements when the system is slightly perturbed, i.e. granular systems are unstable. We show in this paper that the observed instability is due to the minimally rigid, or…

Soft Condensed Matter · Physics 2007-05-23 Cristian F. Moukarzel

Granular material is showing very often in geotechnical engineering, petroleum engineering, material science and physics. The packings of the granular material play a very important role in their mechanical behaviors, such as stress-strain…

Numerical Analysis · Mathematics 2023-05-16 Boning Zhang , Eric B. Herbold , Richard A. Regueiro

Granular fronts are a common yet unexplained phenomenon emerging during the gravity driven free-surface flow of concentrated suspensions. They are usually believed to be the result of fluid convection in combination with particle size…

Soft Condensed Matter · Physics 2015-12-02 A. Leonardi , M. Cabrera , F. K. Wittel , R. Kaitna , M. Mendoza , W. Wu , H. J. Herrmann

Discrete models usually represent approximations to continuum physics. Cylindrical consistency provides a framework in which discretizations mirror exactly the continuum limit. Being a standard tool for the kinematics of loop quantum…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Bianca Dittrich