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We investigate the breakdown of disordered networks under the action of an increasing external---mechanical or electrical---force. We perform a mean-field analysis and estimate scaling exponents for the approach to the instability. By…

Statistical Mechanics · Physics 2009-10-31 Stefano Zapperi , Purusattam Ray , H. Eugene Stanley , Alessandro Vespignani

A discrete binomial random-walk description of molecular collisions is used to quantify the variance of coarse-grained velocity fields arising solely from collision-induced momentum exchange. Closed-form expressions for the growth of…

Chemical Physics · Physics 2026-02-26 Tristan Barkman

Avalanche dynamics and related power law statistics are ubiquitous in nature, arising in phenomena like earthquakes, forest fires and solar flares. Very interestingly, an analogous behavior is associated with many condensed matter systems,…

Disordered Systems and Neural Networks · Physics 2009-02-09 Benedetta Cerruti , Eduard Vives

The dynamics of the avalanche width in the evolution model is described using a random walk picture. In this approach the critical exponents for avalanche distribution, $\tau$, and avalanche average time, $\gamma$, are found to be the same…

Condensed Matter · Physics 2008-02-03 L. Anton

Jamming and avalanche statistics are studied in a simulation of the discharge of a polydisperse ensemble of disks from a 2-D silo. Exponential distributions are found for the avalanche sizes for all sizes of the exit opening, in agreement…

Soft Condensed Matter · Physics 2007-05-23 Gabriel Perez

We study the influence of particle shape anisotropy on the occurrence of avalanches in sheared granular media. We use molecular dynamic simulations to calculate the relative movement of two tectonic plates. % with transform boundaries. Our…

Materials Science · Physics 2011-03-15 Andrés A. Peña , Sean McNamara , Pedro G. Lind , Hans J. Herrmann

Hysteresis, the lag between the force and the response, is often associated with noisy, jerky motion which have recently been called ``avalanches''. The interesting question is why the avalanches come in such a variety of sizes: naively one…

Statistical Mechanics · Physics 2008-02-03 James P. Sethna , Olga Perkovic , Karin A. Dahmen

Wood is a multi-scale material exhibiting a complex viscoplastic response. We study avalanches in small wood samples in compression. "Woodquakes" measured by acoustic emission are surprisingly similar to earthquakes and crackling noise in…

Statistical Mechanics · Physics 2015-09-01 Tero Mäkinen , Amandine Miksic , Markus Ovaska , Mikko J. Alava

We investigate the magnetization reversal processes on classes of complex spin networks with antiferromagnetic interaction along the network links. With slow field ramping the hysteresis loop and avalanches of spin flips occur due to…

Disordered Systems and Neural Networks · Physics 2007-05-23 K. Malarz , W. Antosiewicz , J. Karpinska , K. Kulakowski , B. Tadic

Laboratory granular landslides are smaller-scale, simplified, yet well-controlled versions of larger and often tragic natural landslides. Using systematic experiments and scaling analysis, we quantify the influence of grain size, fall…

Fluid Dynamics · Physics 2024-06-24 Rory T. Cerbus , Ludovic Brivady , Thierry Faug , Hamid Kellay

We consider the Bak-Tang-Wiesenfeld (BTW) and the Manna sandpile models of self-organized criticality. In the models, previous studies revealed a signature of long-range temporal correlations in the avalanche activity. We examine the power…

Statistical Mechanics · Physics 2025-07-30 Rahul Chhimpa , Avinash Chand Yadav

We have studied the dynamics of avalanching wet granular media in a rotating drum apparatus. Quantitative measurements of the flow velocity and the granular flux during avalanches allow us to characterize novel avalanche types unique to wet…

Disordered Systems and Neural Networks · Physics 2009-11-07 P. Tegzes , T. Vicsek , P. Schiffer

We study several probability distributions relevant to the avalanche dynamics of elastic interfaces driven on a random substrate: The distribution of size, duration, lateral extension or area, as well as velocities. Results from the…

Disordered Systems and Neural Networks · Physics 2019-10-18 Alejandro B. Kolton , Pierre Le Doussal , Kay Joerg Wiese

We investigate the distribution of relative velocities between small heavy particles of different sizes in turbulence by analysing a statistical model for bidisperse turbulent suspensions, containing particles with two different Stokes…

Fluid Dynamics · Physics 2017-12-20 J. Meibohm , L. Pistone , K. Gustavsson , B. Mehlig

In the present article we consider the problem of underwater avalanches propagating over moderate slopes. The main goal of our work is to investigate the avalanche front velocity selection mechanism when it propagates downwards. In…

Fluid Dynamics · Physics 2020-02-20 V. Yu Liapidevskii , Denys Dutykh

Granular surfaces subjected to forces due to rolling wheels develop ripples above a critical speed. The resulting pattern, known as "washboard" or "corrugated" road, is common on dry, unpaved roads. We investigated this phenomenon…

Pattern Formation and Solitons · Physics 2017-12-20 Anne-Florence Bitbol , Nicolas Taberlet , Stephen W. Morris , Jim N. McElwaine

We characterize the distributions of size and duration of avalanches propagating in complex networks. By an avalanche we mean the sequence of events initiated by the externally stimulated `excitation' of a network node, which may, with some…

Disordered Systems and Neural Networks · Physics 2013-10-22 Daniel B. Larremore , Marshall Y. Carpenter , Edward Ott , Juan G. Restrepo

Composite materials, with statistically distributed threshold for breakdown of individual elements, are considered. During the failure process of such materials under external stress (load or voltage), avalanches consisting of simultaneous…

Soft Condensed Matter · Physics 2009-11-11 Srutarshi Pradhan , Alex Hansen , Per C. Hemmer

We study the subsampling of the avalanches in the fiber bundle model of fracture. In cases where only a part of the system is observed for the micro-failure events, the recorded avalanche statistics gets distorted compared to the actual…

Statistical Mechanics · Physics 2025-12-18 Narendra Kumar Bodaballa , Soumyajyoti Biswas

The propagation of an interfacial crack along a heterogeneous weak plane of a transparent Plexiglas block is followed using a high resolution fast camera. We show that the fracture front dynamics is governed by local and irregular…

Materials Science · Physics 2007-05-23 Knut Jørgen Måløy , Stéphane Santucci , Jean Schmittbuhl , Renaud Toussaint
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