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Hysteresis loops and the associated avalanche statistics of spin systems, such as the random-field Ising and Edwards-Anderson spin-glass models, have been extensively studied. A particular focus has been on self-organized criticality,…

Disordered Systems and Neural Networks · Physics 2019-01-11 John Ferre , Amin Barzegar , Helmut G. Katzgraber , Richard Scalettar

We investigate the complex spatio-temporal dynamics in avalanche driven surface growth by means of scaling theory. We study local activity statistics, avalanche kinetics, and temporal correlations in the global interface velocity, obtaining…

Statistical Mechanics · Physics 2015-05-19 Juan M. Lopez , Marc Pradas , Aurora Hernandez-Machado

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

The glassy dynamics of dense active matter have recently become a topic of interest due to their importance in biological processes such as wound healing and tissue development. However, while the liquid-state properties of dense active…

Soft Condensed Matter · Physics 2024-11-13 Masaki Yoshida , Hideyuki Mizuno , Atsushi Ikeda

The existence of power-law distributions is only a first requirement in the validation of the critical behavior of a system. Long-range spatio-temporal correlations are fundamental for the spontaneous neuronal activity to be the expression…

Statistical Mechanics · Physics 2018-11-27 Fabrizio Lombardi , Hans J. Herrmann , L. de Arcangelis

The behavior of granular media under quasi-static loading has recently been shown to attain a stable evolution state corresponding to a manifold in the space of micromechanical variables. This state is characterized by sudden transitions…

Soft Condensed Matter · Physics 2021-08-11 Jordi Baró , Mehdi Pouragha , Richard Wan , Jörn Davidsen

Rate-effects in sheared disordered solids are studied using molecular dynamics simulations of binary Lennard-Jones glasses in two and three dimensions. In the quasistatic (QS) regime, systems exhibit critical behavior: the magnitudes of…

Soft Condensed Matter · Physics 2021-04-21 Joel T. Clemmer , K. Michael Salerno , Mark O. Robbins

Charge transport in electrorheological fluids is studied experimentally under strongly nonequlibrium conditions. By injecting an electrical current into a suspension of conducting nanoparticles we are able to initiate a process of…

Soft Condensed Matter · Physics 2009-10-31 A. Bezryadin , R. M. Westervelt , M. Tinkham

Neuronal avalanche is a spontaneous neuronal activity which obeys a power-law distribution of population event sizes with an exponent of -3/2. It has been observed in the superficial layers of cortex both \emph{in vivo} and \emph{in vitro}.…

Neurons and Cognition · Quantitative Biology 2015-06-04 Xiumin Li , Michael Small

We report arrays of monodisperse water-in-oil microdroplets printed onto a substrate in a form of a compact linear chain -- a 1D-crystal -- pinned at one end. The chain spontaneously collapses under capillary forces via a sequence of…

Soft Condensed Matter · Physics 2024-06-24 Ronald Terrazas Mallea , Jonathan Pullas Navarrete , Jan Guzowski

The presence of universality of avalanches characterizing the inelastic response of disordered materials has the potential to bridge the gap from micro- to macroscale. In this study, we explore the statistics and the scaling behavior of…

Disordered Systems and Neural Networks · Physics 2023-08-03 Somar Shekh Alshabab , Bernd Markert , Franz Bamer

We present the experimental and numerical studies of a 2D sheared amorphous material constituted of bidisperse photo-elastic disks. We analyze the statistics of avalanches during shear including the local and global fluctuations in energy…

Soft Condensed Matter · Physics 2017-11-15 Jonathan Barés , Dengming Wang , Dong Wang , Thibault Bertrand , Corey S. O'Hern , Robert P. Behringer

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

The origin of power-law distributions in self-organized criticality is investigated by treating the variation of the number of active sites in the system as a stochastic process. An avalanche is then regarded as a first-return random walk…

Statistical Mechanics · Physics 2009-11-10 C. B. Yang

We study avalanche dynamics and local activity of forced-flow imbibition fronts in disordered media. We focus on the front dynamics as the mean velocity $\bar{v}$ of the interface is decreased and the pinning state is approached. Scaling…

Statistical Mechanics · Physics 2010-03-05 Marc Pradas , Juan M. López , A. Hernández-Machado

When droplets are tightly packed in a 2D microchannel, coalescence of a pair of droplets can trigger an avalanche of coalescence events that propagate through the entire emulsion. This propagation is found to be stochastic, i.e. every…

Soft Condensed Matter · Physics 2023-09-25 Danny Raj Masila , Pavithra Sivakumar , Arshed Nabeel

The propagator for the activity in a broad class of self-organized critical models obeys an imaginary-time Schr\"odinger equation with a nonlocal, history-dependent potential representing memory. Consequently, the probability for an…

Condensed Matter · Physics 2008-02-03 Maya Paczuski , Stefan Boettcher

Inelastic deformation of metallic glasses occurs via slip events with avalanche dynamics similar to those of earthquakes. For the first time in these materials, measurements have been obtained with sufficiently high temporal resolution to…

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

The history dependence of the glasses formed from flow-melted steady states by a sudden cessation of the shear rate $\dot\gamma$ is studied in colloidal suspensions, by molecular dynamics simulations, and mode-coupling theory. In an ideal…

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