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We present a simple model of a dynamical system driven by externally-imposed coherent noise. Although the system never becomes critical in the sense of possessing spatial correlations of arbitrarily long range, it does organize into a…

Condensed Matter · Physics 2009-10-28 M. E. J. Newman , Kim Sneppen

Power law distributed fluctuations are known to accompany \emph{terminal} failure in disordered brittle solids. The associated intermittent scale-free behavior is of interest from the fundamental point of view as it emerges universally from…

Disordered Systems and Neural Networks · Physics 2021-10-19 Hudson Borja da Rocha , Lev Truskinovsky

Using numerical simulations we examine colloids with a long-range Coulomb interaction confined in a two-dimensional trough potential undergoing dynamical compression. As the depth of the confining well is increased, the colloids move via…

Soft Condensed Matter · Physics 2016-06-22 D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

We present a molecular dynamics and kinetic theory study of granular material, modeled by inelastic hard disks, fluidized by a random driving force. The focus is on collisional averages and short distance correlations in the non-equilibrium…

Statistical Mechanics · Physics 2009-11-07 I. Pagonabarraga , E. Trizac , T. P. C. van Noije , M. H. Ernst

We study segregation of granular mixtures in the continuous avalanche regime (for frequencies above ~ 1 rpm) in thin rotating drums using a continuum theory for surface flows of grains. The theory predicts profiles in agreement with…

Statistical Mechanics · Physics 2009-10-31 Hernan A. Makse

Powder-snow avalanches are violent natural disasters which represent a major risk for infrastructures and populations in mountain regions. In this study we present a novel model for the simulation of avalanches in the aerosol regime. The…

Geophysics · Physics 2020-02-20 Denys Dutykh , Céline Acary-Robert , Didier Bresch

We report a general class of steady and transient states of granular gases. We find that the kinetic theory of inelastic gases admits stationary solutions with a power-law velocity distribution, f(v) ~ v^(-sigma). The exponent sigma is…

Soft Condensed Matter · Physics 2007-05-23 E. Ben-Naim , B. Machta , J. Machta

We study the scaling properties of avalanche activity in the two-dimensional Abelian sandpile model. Instead of the conventional avalanche size distribution, we analyze the site activity distribution, which measures how often a site…

Statistical Mechanics · Physics 2025-10-14 Anubhav Ganguly

This paper considers a sandpile model subjected to a sinusoidal external drive with the time period $T$. We develop a theoretical model for the Green function in a large $T$ limit, which predicts that the avalanches are anisotropic and…

Statistical Mechanics · Physics 2023-07-12 J. Cheraghalizadeh , M. A. Seifi MirJafarlou , M. N. Najafi

Three-dimensional discrete dislocation dynamics simulations are used to study strain-controlled plastic deformation of face-centered cubic aluminium single crystals. After describing the rate and size dependence of the average stress-strain…

Materials Science · Physics 2023-01-26 David Kurunczi-Papp , Lasse Laurson

Within the framework of the random first-order transition theory of glasses, we discuss the statistics of thermal avalanches, the large scale rearrangements in driven amorphous systems near their instability. Stringy excitations yield…

Disordered Systems and Neural Networks · Physics 2026-03-05 Zhiyu Cao , Peter G. Wolynes

Strain rate sensitivity is a key feature of material deformation, whose importance is growing both because miniaturized components experience higher effective rates and because small scale simulations increasingly probe such conditions. As…

Materials Science · Physics 2026-01-01 M. Aissaoui , C. Kahloun , O. U. Salman , S. Queyreau

We study the statistical properties of the yielding transition in model amorphous solids in the limit of slow, athermal deformation. Plastic flow occurs via alternating phases of elastic loading punctuated by rapid dissipative events in the…

Soft Condensed Matter · Physics 2021-05-04 Céline Ruscher , Jörg Rottler

Numerical simulations of particle acceleration in magnetized turbulence have recently observed powerlaw spectra where pile-up distributions are rather expected. We interpret this as evidence for particle segregation based on acceleration…

High Energy Astrophysical Phenomena · Physics 2020-11-19 Martin Lemoine , Mikhail A. Malkov

Distribution functions of relative velocities among particles in a vibrated bed of powder are studied both numerically and theoretically. In the solid phase where granular particles remain near their local stable states, the probability…

chao-dyn · Physics 2009-10-22 Y-h. Taguchi , Hideki Takayasu

Avalanche experiments on an erodible substrate are treated in the framework of ``partial fluidization'' model of dense granular flows. The model identifies a family of propagating soliton-like avalanches with shape and velocity controlled…

Soft Condensed Matter · Physics 2009-11-11 Igor S. Aranson , Florent Malloggi , Eric Clement

Three regimes of granular avalanches in fluids are put in light depending on the Stokes number St which prescribes the relative importance of grain inertia and fluid viscous effects, and on the grain/fluid density ratio r. In gas (r >> 1…

Soft Condensed Matter · Physics 2009-11-07 S. Courrech du Pont , P. Gondret , B. Perrin , M. Rabaud

The origin of power-law distributions in self-organized criticality is investigated by treating the variation of the number of active sites in the system as a stochastic process. An avalanche is then regarded as a first-return random walk…

Statistical Mechanics · Physics 2009-11-10 C. B. Yang

Our aim in this note is to introduce and study a mathematical model for the description of traveling sand dunes. We use surface flow process of sand under the effect of wind and gravity. We model this phenomena by a non linear…

Analysis of PDEs · Mathematics 2021-03-23 Noureddine Igbida , Fahd Karami , Driss Meskine

In many situations we are interested in the propagation of energy in some portions of a three dimensional system with dilute long-range links. In this paper sandpile model is defined on the three-dimensional small world network with real…

Statistical Mechanics · Physics 2018-03-21 M. N. Najafi , H. Dashti-Naserabadi
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