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Related papers: Abelian threshold models and forced weakening

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We study the Brownian force model (BFM), a solvable model of avalanche statistics for an interface, in a general discrete setting. The BFM describes the overdamped motion of elastically coupled particles driven by a parabolic well in…

Disordered Systems and Neural Networks · Physics 2015-12-23 Thimothée Thiery , Pierre Le Doussal , Kay Jörg Wiese

Theoretical approaches to nonequilibrium many-body dynamics generally rest upon an adiabatic assumption, whereby the true dynamics is represented as a sequence of equilibrium states. Going beyond this simple approximation is a notoriously…

Soft Condensed Matter · Physics 2014-10-15 Andrea Fortini , Daniel de las Heras , Joseph M. Brader , Matthias Schmidt

We study slip avalanches in disordered materials under an increasing external load in the framework of a fiber bundle model. Over-stressed fibers of the model do not break, instead they relax in a stick-slip event which may trigger an…

Disordered Systems and Neural Networks · Physics 2011-04-28 Zoltan Halasz , Ferenc Kun

We discuss the threshold activated extremal dynamics that is prevalent in the breakdown processes in heterogeneous materials. We model such systems by an elastic spring network with random breaking thresholds assigned to the springs.…

Statistical Mechanics · Physics 2007-05-23 Purusattam Ray

Molecular dynamics simulations with varying damping are used to examine the effects of inertia and spatial dimension on sheared disordered solids in the athermal, quasistatic limit. In all cases the distribution of avalanche sizes follows a…

Soft Condensed Matter · Physics 2015-03-17 K. Michael Salerno , Mark O. Robbins

A new method based on quasi-independent parallel simulations approach, replica-averaging, has been developed to study the influence of flow on mechanical force-mediated polymer processes such as denaturation and breaking of bonds. This…

Chemical Physics · Physics 2024-06-19 Sagar Kania , Anh H. Nguyen , Alparslan Oztekin , Edmund Webb

To investigate the barrier effect of grain boundaries on the propagation of avalanche-like plasticity at the atomic-scale, we perform three-dimensional molecular dynamics simulations by using simplified polycrystal models including…

Materials Science · Physics 2017-01-19 Tomoaki Niiyama , Tomotsugu Shimokawa

Snow slab avalanches are among the most dangerous natural hazards in mountain areas. Recent progress in numerical modelling, field measurements, and large-scale fracture experiments has renewed interest in shear-failure interpretations of…

Geophysics · Physics 2026-05-07 Johan Gaume , Francis Meloche , Ingrid Reiweger

The random field Ising model driven by a slowly varying uniform external field at zero temperature provides a caricature of several threshold activated systems. In this model, the non-equilibrium response of the system can be obtained…

Statistical Mechanics · Physics 2009-11-10 Prabodh Shukla

We describe a framework to significantly reduce the computational effort to evaluate large deviation functions of time integrated observables within nonequilibrium steady states. We do this by incorporating an auxiliary dynamics into…

Statistical Mechanics · Physics 2018-05-25 Ushnish Ray , Garnet Kin-Lic Chan , David T. Limmer

The Abelian distribution has been studied recently in models for neural avalanches. This paper uncovers new properties about the moments of the distribution, ways in which these properties can be useful are indicated.

Probability · Mathematics 2016-02-17 Anirban Das

Numerical simulations of concrete fracture performed with a probabilistic mesoscale discrete model are presented. The model represents a substantial part of material randomness by assigning random locations to the largest aggregates. The…

Computational Engineering, Finance, and Science · Computer Science 2022-08-05 Jan Eliáš , Miroslav Vořechovský

Plastic deformation of crystalline and amorphous matter often involves intermittent local strain burst events. To understand the physical background of the phenomenon a minimal stochastic mesoscopic model was introduced, where…

Materials Science · Physics 2017-02-15 Péter Dusán Ispánovity , Dániel Tüzes , Péter Szabó , Michael Zaiser , István Groma

We computationally study the frictional properties of sheared granular media subjected to harmonic vibration applied at the boundary. Such vibrations are thought to play an important role in weakening flows, yet the independent effects of…

Soft Condensed Matter · Physics 2023-03-29 Abram H. Clark , H. John Nasrin , Stephanie E. Taylor , Emily E. Brodsky

By means of Molecular Dynamics simulations, we investigate the elementary process of avalanches and size segregation by surface flow in 2 dimensions: a single ball confined to moving along an inclined line consisting of balls. The global…

Condensed Matter · Physics 2009-10-28 S. Dippel , G. G. Batrouni , D. E. Wolf

Machine learned force fields typically require manual construction of training sets consisting of thousands of first principles calculations, which can result in low training efficiency and unpredictable errors when applied to structures…

Computational Physics · Physics 2019-11-21 Jonathan Vandermause , Steven B. Torrisi , Simon Batzner , Yu Xie , Lixin Sun , Alexie M. Kolpak , Boris Kozinsky

To model rupture dynamics, a friction law must be assumed. Commonly used constitutive laws for modeling friction include slip-weakening laws which are characterized by a drop from static to dynamic frictional stress. Within this framework,…

Geophysics · Physics 2024-07-22 Roxane Ferry , Jean-François Molinari

Large scale simulations and analytical theory have been combined to obtain the non-equilibrium velocity distribution, $f(v)$, of randomly accelerated particles in suspension. The simulations are based on an event-driven algorithm,…

Statistical Mechanics · Physics 2013-09-09 Andrea Fiege , Benjamin Vollmayr-Lee , Annette Zippelius

The importance of mesoscale fluctuations in flowing amorphous materials is widely accepted, without a clear understanding of their role. We propose a mean-field elastoplastic model that admits both stress and strain-rate fluctuations, and…

Soft Condensed Matter · Physics 2022-05-09 Timothy Ekeh , Étienne Fodor , Suzanne M. Fielding , Michael E. Cates

Vertical loads acting on the surface of a half-space made of discrete and elastic particles are supported by a network of force chains that changes with the specific realization of the packing. These force chains can be transformed into…

Soft Condensed Matter · Physics 2019-09-20 Ignacio G. Tejada