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In this paper we study a simple model of a purely excitatory neural network that, by construction, operates at a critical point. This model allows us to consider various markers of criticality and illustrate how they should perform in a…

神经元与认知 · 定量生物学 2013-05-17 Timothy J. Taylor , Caroline Hartley , Péter L. Simon , Istvan Z Kiss , Luc Berthouze

Using Langevin molecular dynamics simulations we study relaxation processes of interacting skyrmion systems with and without quenched disorder. Using the typical diffusion length as the time-dependent length characterizing the relaxation…

介观与纳米尺度物理 · 物理学 2019-07-10 Barton L. Brown , Uwe C. Täuber , Michel Pleimling

Disordered systems are characterized by the existence of many sample- dependent local energy minima, that cause a stepwise response when the system is perturbed. In this article we use an approach based on elementary probabilistic methods…

无序系统与神经网络 · 物理学 2017-03-08 Silvio Franz , Stefano Spigler

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…

软凝聚态物质 · 物理学 2025-12-02 Roland Wiese , Ezequiel Ferrero , Demian Levis

Within the framework of the random first-order transition theory of glasses, we discuss the statistics of thermal avalanches, the large scale rearrangements in driven amorphous systems near their instability. Stringy excitations yield…

无序系统与神经网络 · 物理学 2026-03-05 Zhiyu Cao , Peter G. Wolynes

Uniform spherical beads were used to explore the behavior of a granular system near its critical angle of repose on a conical bead pile. We found two tuning parameters that could take the system to a critical point where a simple power-law…

Crystal plasticity occurs by deformation bursts due to the avalanche-like motion of dislocations. Here we perform extensive numerical simulations of a three-dimensional dislocation dynamics model under quasistatic stress-controlled loading.…

统计力学 · 物理学 2016-08-24 Arttu Lehtinen , Giulio Costantini , Mikko J. Alava , Stefano Zapperi , Lasse Laurson

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…

无序系统与神经网络 · 物理学 2017-12-20 Zhaoxuan Zhu , Kay Joerg Wiese

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…

统计力学 · 物理学 2009-11-11 Uma Divakaran , Amit Dutta

We report the measurement of multivariable scaling functions for the temporal average shape of Barkhausen noise avalanches, and show that they are consistent with the predictions of simple mean-field theories. We bypass the confounding…

无序系统与神经网络 · 物理学 2011-08-12 Stefanos Papanikolaou , Felipe Bohn , Rubem L. Sommer , Gianfranco Durin , Stefano Zapperi , James P. Sethna

We explain Barkhausen noise in magnetic systems in terms of avalanches near a plain old critical point in the hysteretic zero-temperature random-field Ising model. The avalanche size distribution has a universal scaling function, making…

凝聚态物理 · 物理学 2009-10-28 Olga Perković , Karin Dahmen , James P. Sethna

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…

统计力学 · 物理学 2018-11-27 Fabrizio Lombardi , Hans J. Herrmann , L. de Arcangelis

In this chapter, we discuss avalanches in glasses and disordered systems, and the macroscopic dynamical behavior that they mediate. We briefly review three classes of systems where avalanches are observed: depinning transition of disordered…

无序系统与神经网络 · 物理学 2022-09-05 Alberto Rosso , James P. Sethna , Matthieu Wyart

Plastic deformation of crystals proceeds through a sequence of intermittent slip avalanches with scale-free (power-law) size distribution. On macroscopic scales, however, plastic flow is known to be smooth and homogeneous. In the present…

统计力学 · 物理学 2009-11-13 Michael Zaiser , Nikos Nikitas

We examine skyrmions under a dc drive interacting with a square array of obstacles for varied obstacle size and damping. When the drive is applied in a fixed direction, we find that the skyrmions are initially guided in the drive direction…

介观与纳米尺度物理 · 物理学 2024-04-22 N. P. Vizarim , C. Reichhardt , C. J. O. Reichhardt , P. A. Venegas

We consider Activated Random Walks on $\Z$ with totally asymmetric jumps and critical particle density, with different time scales for the progressive release of particles and the dissipation dynamics. We show that the cumulative flow of…

概率论 · 数学 2020-08-14 Manuel Cabezas , Leonardo T. Rolla

Using a particle-based model, we examine the collective dynamics of skyrmions interacting with a funnel potential under dc driving as the skyrmion density and relative strength of the Magnus and damping terms are varied. For driving in the…

介观与纳米尺度物理 · 物理学 2022-11-09 J. C. Bellizotti Souza , N. P. Vizarim , C. J. O. Reichhardt , C. Reichhardt , P. A. Venegas

Crackling dynamics is characterized by a release of incoming energy through intermittent avalanches. The shape, i.e. the internal temporal structure of these avalanches, gives insightful information about the physical processes involved. It…

软凝聚态物质 · 物理学 2020-09-09 Chi-Cong Vu , Jerome Weiss

Combining X-ray tomography with simultaneous shear force measurement, we investigate shear-induced granular avalanches using spherical particles with different surface roughness. We find that systems consisting of particles with large…

We show that both square and kagome artificial spin ice systems exhibit disorder-induced nonequilibrium phase transitions, with power law avalanche distributions at the critical disorder level. The different nature of geometrical…

介观与纳米尺度物理 · 物理学 2014-07-02 Gia-Wei Chern , C. Reichhardt , C. J. Olson Reichhardt