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Rate-effects in sheared disordered solids are studied using molecular dynamics simulations of binary Lennard-Jones glasses in two and three dimensions. In the quasistatic (QS) regime, systems exhibit critical behavior: the magnitudes of…

Soft Condensed Matter · Physics 2021-04-21 Joel T. Clemmer , K. Michael Salerno , Mark O. Robbins

Stress patterns in static granular media exhibit unusual features when compared to either liquids or elastic solids. Qualitatively, we attribute these features to the presence of `stress paths', whose geometry depends on the construction…

Condensed Matter · Physics 2007-05-23 J. -P. Bouchaud , P. Claudin , M. E. Cates , J. P. Wittmer

This study examine the difference in the size of avalanches among industries triggered by demand shocks, which can be rephrased by control of the economy or fiscal policy, and by using the production-inventory model and observed data. We…

General Finance · Quantitative Finance 2016-04-05 Hiroyasu Inoue

We investigate the fluctuation of the top location of a sandpile numerically using the two-dimensional discrete elements method. We feed particles to a sandpile at a fixed time interval and calculate power spectra from the time series of…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 Chiyori Urabe

Physical systems characterized by stick-slip dynamics often display avalanches. Regardless of the diversity of their microscopic structure, these systems are governed by a power-law distribution of avalanche size and duration. Here we focus…

Size-dependence of plastic flow is studied by discrete dislocation dynamical simulation of systems with various numbers of interacting linear edge dislocations while the stress is slowly increased. Regions between avalanches in the…

Materials Science · Physics 2015-03-05 Peter Szabo , Peter Dusan Ispanovity , Istvan Groma

In a recent paper [Zuriguel et al., Phys. Rev. Lett. 107, 278001 (2011)] it has been shown that the presence of an obstacle above the outlet can significatively reduce the clogging probability of granular matter pouring from a silo. The…

Soft Condensed Matter · Physics 2015-06-11 Celia Lozano , Alvaro Janda , Angel Garcimartin , Diego Maza , Iker Zuriguel

We observe the failure process of a fiber bundle model with a variable stress release range, $\gamma$, higher the value of $\gamma$ lower the stress release range. By tuning $\gamma$ from low to high, it is possible to go from the…

Statistical Mechanics · Physics 2022-02-22 Narendra K. Bodaballa , Soumyajyoti Biswas , Subhadeep Roy

We analyze a two-dimensional spring network model comprising breakable and unbreakable springs. Computer simulations showed this system to exhibit intermittent stress drops in a larger strain regime, and these stress drops resulted in…

Statistical Mechanics · Physics 2024-05-02 Haruka Noguchi , Satoshi Yukawa

Disordered systems are characterized by the existence of many sample- dependent local energy minima, that cause a stepwise response when the system is perturbed. In this article we use an approach based on elementary probabilistic methods…

Disordered Systems and Neural Networks · Physics 2017-03-08 Silvio Franz , Stefano Spigler

In this study, we have investigated the fluctuations of particle motion, i.e. the non-affine motion, during the avalanche process, discovering a rich dynamics from the microscopic to the macroscopic scales. We find that there is strong…

Soft Condensed Matter · Physics 2015-02-04 Ziwei Wang , Jie Zhang

The transition from elastic to plastic deformation in crystalline metals shares history dependence and scale-invariant avalanche signature with other non-equilibrium systems under external loading: dilute colloidal suspensions,…

We study avalanches in a model for a planar crack propagating in a disordered medium. Due to long-range interactions, avalanches are formed by a set of spatially disconnected local clusters, the sizes of which are distributed according to a…

Statistical Mechanics · Physics 2015-05-14 Lasse Laurson , Stephane Santucci , Stefano Zapperi

In many complex systems a continuous input of energy over time can be suddenly relaxed in the form of avalanches. Conventional avalanche models disregard the possibility of internal dynamical effects in the inter-avalanche periods, and thus…

Statistical Mechanics · Physics 2015-07-02 E. A. Jagla , François P. Landes , Alberto Rosso

Avalanche-like plastic bursts in crystalline materials follow power law statistics, but the scaling exponents and cutoff parameters vary widely in the literature ($\alpha$ ranging from 1 to 2.2), hindering predictive modeling. Since…

Materials Science · Physics 2026-04-24 Missipsa Aissaoui , Charlie Kahloun , Oguz Umut Salman , Sylvain Queyreau

We present numerical data of the height-height correlation function and of the avalanche size distribution for the three dimensional Toom interface. The height-height correlation function behaves samely as the interfacial fluctuation width,…

Condensed Matter · Physics 2007-05-23 H. Jeong , B. Kahng , D. Kim

We prove the emergence of stable fluctuations for reaction-diffusion in random environment with Weibull tails. This completes our work around the quenched to annealed transition phenomenon in this context of reaction diffusion. In [9], we…

Probability · Mathematics 2017-06-22 Gérard Ben Arous , Stanislav Molchanov , Alejandro F. Ramírez

We investigate avalanches associated with plastic rearrangements and the nature of structural change in the prototypical strong glass, silica, computationally. Although qualitative aspects of yielding in silica are similar to other glasses,…

Soft Condensed Matter · Physics 2022-03-14 Himangsu Bhaumik , Giuseppe Foffi , Srikanth Sastry

In this paper, we consider a simplified model of turbulence for large Reynolds numbers driven by a constant power energy input on large scales. In the statistical stationary regime, the behaviour of the kinetic energy is characterised by…

Soft Condensed Matter · Physics 2022-02-16 Roberto Benzi , Ilaria Castaldi , Federico Toschi , Jeannot Trampert

We review limiting models for fracture in bundles of fibers, with statistically distributed thresholds for breakdown of individual fibers. During the breakdown process, avalanches consisting of simultaneous rupture of several fibers occur,…

Statistical Mechanics · Physics 2009-10-30 M. Kloster , A. Hansen , P. C. Hemmer