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Using numerical simulations, we perform an extensive finite-size analysis of the transverse diffusion coefficient in a sheared 2D amorphous solid, over a broad range of strain rates, at temperatures up to the supercooled liquid regime. We…

Materials Science · Physics 2015-05-27 Joyjit Chattoraj , Christiane Caroli , Anaël Lemaître

The critical behaviour of a Random Fiber Bundle Model with mixed uniform distribution of threshold strengths and global load sharing rule is studied with a special emphasis on the nature of distribution of avalanches for different…

Statistical Mechanics · Physics 2009-11-11 Uma Divakaran , Amit Dutta

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 build a minimal, mean-field, model of plasticity of amorphous solids, based upon a phenomenology of dissipative events derived, in a preceding paper [A. Lemaitre, C. Caroli, arXiv:0705.0823] from extensive molecular simulations. It…

Disordered Systems and Neural Networks · Physics 2016-08-14 Anaël Lemaître , Christiane Caroli

We study the avalanche statistics observed in a minimal random growth model. The growth is governed by a reproduction rate obeying a probability distribution with finite mean a and variance va. These two control parameters determine if the…

Data Analysis, Statistics and Probability · Physics 2021-11-17 S. Polizzi , F. -J. Perez-Reche , A. Arneodo , F. Argoul

We numerically investigate the statistics of avalanches in glassy systems of active particles with finite persistence, with and without an externally applied shear. In departing from the infinite-persistence limit and exploring the…

Soft Condensed Matter · Physics 2025-12-02 Roland Wiese , Ezequiel Ferrero , Demian Levis

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 use numerical simulations to study the dynamics of dense assemblies of self-propelled particles in the limit of extremely large, but finite, persistence times. In this limit, the system evolves intermittently between mechanical…

Soft Condensed Matter · Physics 2023-06-09 Yann-Edwin Keta , Rituparno Mandal , Peter Sollich , Robert L. Jack , Ludovic Berthier

In disordered elastic systems, driven by displacing a parabolic confining potential adiabatically slowly, all advance of the system is in bursts, termed avalanches. Avalanches have a finite extension in time, which is much smaller than the…

Disordered Systems and Neural Networks · Physics 2017-12-20 Zhaoxuan Zhu , Kay Joerg Wiese

We study plastic strain during individual avalanches in overdamped particle-scale molecular dynamics (MD) and meso-scale elasto-plastic models (EPM) for amorphous solids sheared in the athermal quasi-static limit. We show that the spatial…

Soft Condensed Matter · Physics 2023-03-29 David Richard , Ahmed Elgailani , Damien Vandembroucq , M. Lisa Manning , Craig E Maloney

We analyze a mesoscopic model of a shear stress material with a three dimensional slab geometry, under an external quasistatic deformation of a simple shear type. Relaxation is introduced in the model as a mechanism by which an unperturbed…

Soft Condensed Matter · Physics 2023-04-27 E. A. Jagla

Disordered systems submitted to a slowly increasing external stress often reacts with a jerky dynamics characterized by bursts of activity, called avalanches, which are the manifestation of an out-of-equilibrium phase transition. This…

Statistical Mechanics · Physics 2021-03-16 Clément Le Priol

The strain load $\Delta\gamma$ that triggers consecutive avalanches is a key observable in the slow deformation of amorphous solids. Its temporally averaged value $\langle \Delta\gamma \rangle$ displays a non-trivial system-size dependence…

Disordered Systems and Neural Networks · Physics 2021-01-15 Ezequiel E. Ferrero , Eduardo A. Jagla

Amorphous solids are yield stress materials that flow when a sufficient load is applied. Their flow consists of periods of elastic loading interrupted by rapid stress drops, or avalanches, coming from microscopic rearrangements known as…

Disordered Systems and Neural Networks · Physics 2021-09-08 Daniel Korchinski , Céline Ruscher , Jörg Rottler

Stress vs. strain fluctuations in athermal amorphous solids are an example of `crackling noise' of the type studied extensively in the context of elastic membranes moving through random potentials. Contrary to the latter, we do not have a…

Statistical Mechanics · Physics 2010-10-07 Edan Lerner , Itamar Procaccia

We analyse by numerical simulations and scaling arguments the avalanche statistics of 1-dimensional elastic interfaces in random media driven at a single point. Both global and local avalanche sizes are power-law distributed, with universal…

Disordered Systems and Neural Networks · Physics 2016-01-28 L. E. Aragón , A. B. Kolton , P. Le Doussal , K. J. Wiese , E. A. Jagla

Under applied shear strain, granular and amorphous materials deform via particle rearrangements, which can be small and localized or organized into system-spanning avalanches. While the statistical properties of avalanches under…

Soft Condensed Matter · Physics 2022-03-03 Ethan Stanifer , M. Lisa Manning

Until now, most of our knowledge about the universality class of crystal plasticity has come from simulations using discrete dislocation dynamics. These are force-controlled, typically at zero temperature, and deal with the creation and…

Materials Science · Physics 2015-01-13 Georgios Tsekenis , Thomas F. Fehm , Jonathan T. Uhl , Nigel Goldenfeld , Karin A. Dahmen

We investigate numerically the yielding transition of a two dimensional model amorphous solid under external shear. We use a scalar model in terms of values of the total local strain, that we derive from the full (tensorial) description of…

Statistical Mechanics · Physics 2018-07-18 I. Fernández Aguirre , E. A. Jagla

The critical dynamics of dislocation avalanches in plastic flow is examined using a phase field crystal (PFC) model. In the model, dislocations are naturally created, without any \textit{ad hoc} creation rules, by applying a shearing force…

Materials Science · Physics 2010-06-14 Pak Yuen Chan , Georgios Tsekenis , Jonathan Dantzig , Karin A. Dahmen , Nigel Goldenfeld