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Related papers: Avalanches and Correlations in Driven Interface De…

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We study stress time series caused by plastic avalanches in athermally sheared disordered materials. Using particle-based simulations and a mesoscopic elasto-plastic model, we analyze size and shear-rate dependence of the stress-drop…

Soft Condensed Matter · Physics 2016-02-12 Chen Liu , Ezequiel E. Ferrero , Francesco Puosi , Jean-Louis Barrat , Kirsten Martens

Plastic deformation of heterogeneous solid structures is often characterized by random intermittent local plastic events. On the mesoscale this feature can be represented by a spatially fluctuating local yield threshold. Here we study the…

Statistical Mechanics · Physics 2023-02-16 Dénes Berta , Gábor Péterffy , Péter Dusán Ispánovity

With Monte Carlo methods, we investigate the relaxation dynamics of a domain wall in the two-dimensional random-field Ising model with a driving field. The short-time dynamic behavior at the depinning transition is carefully examined, and…

Statistical Mechanics · Physics 2012-02-10 N. J. Zhou , B. Zheng , Y. Y. He

We use a simple model to study the long time fluctuations induced by random pinning on the motion of driven non--interacting vortices. We find that vortex motion seen from the co--moving frame is diffusive and anisotropic, with velocity…

Disordered Systems and Neural Networks · Physics 2016-08-31 Alejandro B. Kolton

We study the properties of strain bursts (dislocation avalanches) occurring in two-dimensional discrete dislocation dynamics models under quasistatic stress-controlled loading. Contrary to previous suggestions, the avalanche statistics…

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

By characterizing the dynamics of idealized lattice models with a tunable kinetic constraint, we explore the different ways in which dynamical facilitation manifests itself within the local dynamics of glassy materials. Dynamical…

Statistical Mechanics · Physics 2012-06-25 Yael S. Elmatad , Aaron S. Keys

We study a one-dimensional model of a dislocation pileup driven by an external stress and interacting with random quenched disorder, focusing on predictability of the plastic deformation process. Upon quasistatically ramping up the…

Materials Science · Physics 2020-12-21 Mika Sarvilahti , Audun Skaugen , Lasse Laurson

A dynamical transition separating intermittent and continuous flow is observed in a sandpile model, with scaling functions relating the transport behaviors between both regimes. The width of the active zone diverges with system size in the…

Statistical Mechanics · Physics 2009-10-31 Alvaro Corral , Maya Paczuski

We study the non-steady relaxation of a driven one-dimensional elastic interface at the depinning transition by extensive numerical simulations concurrently implemented on graphics processing units (GPUs). We compute the time-dependent…

Statistical Mechanics · Physics 2013-06-03 Ezequiel E. Ferrero , Sebastián Bustingorry , Alejandro B. Kolton

In this article we discuss an exactly solvable, one-dimensional, periodic toy charge density wave model introduced in [D.C. Kaspar, M. Mungan, EPL {\bf 103}, 46002 (2013)]. In particular, driving the system with a uniform force, we show…

Mathematical Physics · Physics 2016-11-10 David C. Kaspar , Muhittin Mungan

Recent experiments of imbibition in columnar geometries show interfacial fluctuations whose dynamic scaling is not compatible with the usual non local model governed by surface tension that results from a macroscopic description. To explore…

Statistical Mechanics · Physics 2009-11-13 M. Pradas , A. Hernández-Machado , M. A. Rodríguez

We examine the effect of small, spatially localized, excitations applied periodically in different manners, on the crackling dynamics of a brittle crack driven slowly in a heterogeneous solid. When properly adjusted, these excitations are…

Statistical Mechanics · Physics 2021-05-19 Jonathan Barés , Daniel Bonamy

The dynamics of critical slope self-organized critical models is studied, using a previous mapping into a linear interface depinning model dragged at one end. The model is solved obtaining the complete set of scaling exponents. Some results…

Condensed Matter · Physics 2007-05-23 Alexei Vazquez , Oscar Sotolongo-Costa

We study the interface representation of the contact process (CP) at its directed-percolation critical point, where the scaling properties of the interface can be related to those of the original particle model. Interestingly, such a…

Statistical Mechanics · Physics 2024-09-30 B. G. Barreales , J. J. Meléndez , R. Cuerno , J. J. Ruiz-Lorenzo

Although scaling phenomena have long been documented in crystalline plasticity, the universality class has been difficult to identify due to the rarity of avalanche events, which require large system sizes and long times in order to…

Materials Science · Physics 2013-08-29 Georgios Tsekenis , Jonathan T. Uhl , Nigel Goldenfeld , Karin A. Dahmen

Close to the yielding transition, amorphous solids exhibit a jerky dynamics characterized by plastic avalanches. The statistics of these avalanches have been measured experimentally and numerically using a variety of different triggering…

Soft Condensed Matter · Physics 2026-01-08 Tristan Jocteur , Eric Bertin , Romain Mari , Kirsten Martens

A dynamical model of small-world network, with directed links which describe various correlations in social and natural phenomena, is presented. Random responses of every site to the imput message are introduced to simulate real systems.…

Disordered Systems and Neural Networks · Physics 2009-11-10 Chen-Ping Zhu , Shi-Jie Xiong , Ying-Jie Tian , Lan Li , Ke-Sheng Jiang

Mean-field coupled lattice maps are used to approximate the physics of driven threshold systems with long range interactions. However, they are incapable of modeling specific features of the dynamic instability responsible for generating…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 Eric F. Preston , Jorge S. Sa Martins , John Rundle

We have simulated an automaton version of the quenched Kardar-Parisi-Zhang (qKPZ) equation in one and two dimensions in order to study the scaling properties of the interface at the depinning transition. Specifically, the $\alpha$, $\beta$,…