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Related papers: Avalanche precursors in a frictional model

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We consider a system of granular particles, modeled by two dimensional frictional elastic disks, that is exposed to externally applied time-dependent shear stress in a planar Couette geometry. We concentrate on the external forcing that…

Soft Condensed Matter · Physics 2022-04-22 Miroslav Kramar , Chao Cheng , Rituparna Basak , Lou Kondic

We consider a sheared granular system experiencing intermittent dynamics of stick-slip type via discrete element simulations. The considered setup consists of a two-dimensional system of soft frictional particles sandwiched between solid…

Soft Condensed Matter · Physics 2023-05-24 Philip Bretz , Lou Kondic , Miro Kramar

The key parameter for describing frictional strength at the onset of sliding is the static friction coefficient. Yet, how the static friction coefficient emerges at the macroscale from contacting asperities at the microscale is still an…

Soft Condensed Matter · Physics 2025-05-09 Liang Peng , Thibault Roch , Daniel Bonn , Bart Weber

The propagation of a crack front in disordered materials is jerky and characterized by bursts of activity, called avalanches. These phenomena are the manifestation of an out-of-equilibrium phase transition originated by the disorder. As a…

Statistical Mechanics · Physics 2020-04-14 Clément Le Priol , Julien Chopin , Pierre Le Doussal , Laurent Ponson , Alberto Rosso

We study the role of record statistics of damage avalanches in predicting the fracture of a heterogeneous material under tensile loading. The material is modeled using a two-dimensional random spring network where disorder is introduced…

Statistical Mechanics · Physics 2023-12-05 Subrat Senapati , Subhadeep Roy , Anuradha Banerjee , R. Rajesh

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,…

This article is based on a talk given by one of us (EVI) at the conference ``StatPhys-Taipei-1997''. It overviews the exact results in the theory of the sandpile model and discusses shortly yet unsolved problem of calculation of avalanche…

Statistical Mechanics · Physics 2015-06-25 E. V. Ivashkevich , V. B. Priezzhev

We study the abelian sandpile model on decorated one dimensional chains. We determine the structure and the asymptotic form of distribution of avalanche-sizes in these models, and show that these differ qualitatively from the behavior on a…

Condensed Matter · Physics 2016-08-31 Agha Afsar Ali , Deepak Dhar

By means of a finite elements technique we solve numerically the dynamics of an amorphous solid under deformation in the quasistatic driving limit. We study the noise statistics of the stress-strain signal in the steady state plastic flow,…

Soft Condensed Matter · Physics 2017-01-13 Kamran Karimi , Ezequiel E. Ferrero , Jean-Louis Barrat

Preprocessing data is an important step before any data analysis. In this paper, we focus on one particular aspect, namely scaling or normalization. We analyze various scaling methods in common use and study their effects on different…

Machine Learning · Statistics 2017-09-05 Ting Li , Bingyi Jing , Ningchen Ying , Xianshi Yu

I present a method for text analysis based on an analogy with the dynamic friction of sliding surfaces. One surface is an array of points with a 'friction coefficient' derived from the distribution frequency of a text's alphabetic…

Computation and Language · Computer Science 2022-06-13 Devlin Gualtieri

An overview of computer simulations of tribology is presented. The chapter begins with a brief overview of simulation techniques and the special requirements for simulations of tribological processes. Then simple one-dimensional models of…

Materials Science · Physics 2007-05-23 Mark O. Robbins , Martin H. Müser

We present a detailed analysis of large scale simulations of avalanches in the 2D Abelian sandpile model. We compare statistical properties of two different decompositions of avalanches into clusters of topplings and waves of topplings.…

Statistical Mechanics · Physics 2009-10-31 D. V. Ktitarev , V. B. Priezzhev

We study the motion of an elastic object driven in a disordered environment in presence of both dissipation and inertia. We consider random forces with the statistics of random walks and reduce the problem to a single degree of freedom. It…

Disordered Systems and Neural Networks · Physics 2013-08-22 Pierre Le Doussal , Aleksandra Petkovic , Kay Jörg Wiese

We have studied the statistics of plastic rearrangement events in a simulated amorphous solid at T=0. Events are characterized by the energy release and the ``slip volume'', the product of plastic strain and system volume. Their…

Materials Science · Physics 2016-08-17 N. P. Bailey , J Schiøz , A. Lemaître , K. W. Jacobsen

Armed conflict data display scaling and universal dynamics in both social and physical properties like fatalities and geographic extent. We propose a randomly branching, armed-conflict model that relates multiple properties to one another…

Physics and Society · Physics 2020-11-04 Edward D. Lee , Bryan C. Daniels , Christopher R. Myers , David C. Krakauer , Jessica C. Flack

Particle image velocimetry has been applied to measure particle velocities on the free surface of a bed of particles within a rotating cylinder during avalanching. The particle velocities were used to examine the validity of existing…

We introduce a systematic method for extracting multivariable universal scaling functions and critical exponents from data. We exemplify our insights by analyzing simulations of avalanches in an interface using simulations from a driven…

Statistical Mechanics · Physics 2011-12-06 Yan-Jiun Chen , Stefanos Papanikolaou , James P. Sethna , Stefano Zapperi , Gianfranco Durin

We investigated the yielding phenomenon in the quasistatic limit using numerical simulations of soft particles. Two different deformation scenarios, simple shear (passive) and self-random force (active), and two interaction potentials were…

Soft Condensed Matter · Physics 2023-10-10 Carlos Villarroel , Gustavo Düring

We propose a framework for studying predictability of extreme events in complex systems. Major conceptual elements -- hierarchical structure, spatial dynamics, and external driving -- are combined in a classical branching diffusion with…

Geophysics · Physics 2010-03-02 Andrei Gabrielov , Vladimir Keilis-Borok , Sayaka Olsen , Ilya Zaliapin