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Related papers: Crossover behavior in failure avalanches

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I discuss the size distribution ${\cal N}(S)$ of avalanches occurring at the yielding transition of mean field (i.e., Hebraud-Lequeux) models of amorphous solids. The size distribution follows a power law dependence of the form: ${\cal…

Statistical Mechanics · Physics 2015-10-21 E. A. Jagla

Motivated by the interplay between 2D and 3D scaling signatures observed in unconventional layered superconductors, we present a systematic Monte Carlo study of the three-dimensional classical XY model with anisotropic in-plane…

Superconductivity · Physics 2026-03-23 Roman Kracht , Andrea Trombettoni , Ilaria Maccari , Nicolò Defenu

The distribution of resistance fluctuations of conducting thin films with granular structure near electrical breakdown is studied by numerical simulations. The film is modeled as a resistor network in a steady state determined by the…

Statistical Mechanics · Physics 2009-11-10 C. Pennetta , E. Alfinito , L. Reggiani , S. Ruffo

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…

Disordered Systems and Neural Networks · Physics 2022-09-05 Alberto Rosso , James P. Sethna , Matthieu Wyart

The depinning transition critical point is manifested as power-law distributed avalanches exhibited by slowly driven elastic interfaces in quenched random media. Here we show that since avalanches with different starting heights relative to…

Statistical Mechanics · Physics 2024-11-19 Lasse Laurson

In a recent publication [PRL {\bf 81}, 1142 (1998)] it was argued that a randomly forced particle which collides inelastically with a boundary can undergo inelastic collapse and come to rest in a finite time. Here we discuss the survival…

Statistical Mechanics · Physics 2009-10-31 Michael R. Swift , Alan J. Bray

The main cause of the fragile-to-strong crossover of 3D silica was previously attributed to the presence of a low energy cutoff in the potential energy landscape. The important question emerges about the microscopic origin of this crossover…

Disordered Systems and Neural Networks · Physics 2022-10-17 Projesh Kumar Roy , Andreas Heuer

We study a one-dimensional system of spatially extended particles, which are fixated to regularly spaced locations by means of elastic springs. The particles are assumed to be driven by a Gaussian noise and to have dissipative,…

Statistical Mechanics · Physics 2014-04-30 Roman Mani , Lucas Böttcher , Hans J. Herrmann , Dirk Helbing

We introduce a model for granular avalanching which exhibits both stretched exponential and power law avalanching over its parameter range. Two modes of transport are incorporated, a rolling layer consisting of individual particles and the…

Statistical Mechanics · Physics 2009-10-31 D. A. Head , G. J. Rodgers

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…

Statistical Mechanics · Physics 2009-11-13 Michael Zaiser , Nikos Nikitas

Moving animal groups transmit information through propagating waves or behavioral cascades, exhibiting characteristics akin to systems near a critical point from statistical physics. Using data from freely swimming schooling fish in an…

Biological Physics · Physics 2024-09-12 Andreu Puy , Elisabet Gimeno , David March-Pons , M. Carmen Miguel , Romualdo Pastor-Satorras

Catastrophic failures have momentous impact in many scientific and technological fields but remain challenging to understand and predict. One key difficulty lies in the burstiness of rupture phenomena, which typically involve a series of…

Geophysics · Physics 2024-09-19 Qinghua Lei , Didier Sornette

The jamming transition characterizes athermal systems of particles interacting via finite range repulsive potentials, and occurs on increasing the density when particles cannot avoid making contacts with those of their first coordination…

Soft Condensed Matter · Physics 2012-10-12 M. Pica Ciamarra , P. Sollich

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,…

We investigate how the dimensionality of the embedding space affects the microscopic crackling dynamics and the macroscopic response of heterogeneous materials. Using a fiber bundle model with localized load sharing computer simulations are…

Disordered Systems and Neural Networks · Physics 2019-03-01 Zsuzsa Danku , Geza Odor , Ferenc Kun

The model of the current paper is an extension of a previous publication, wherein we used the leaky integrate-and-fire model on a regular lattice with periodic boundary conditions, and introduced the temporal complexity as a genuine…

Disordered Systems and Neural Networks · Physics 2016-12-14 Mohammad Dehghani Habibabadi , Marzieh Zare , Farhad Shahbazi , Javad Usefie-Mafahim , Paolo Grigolini

Interdependent networks are more fragile under random attacks than simplex networks, because interlayer dependencies lead to cascading failures and finally to a sudden collapse. This is a hybrid phase transition (HPT), meaning that at the…

Statistical Mechanics · Physics 2016-04-12 Deokjae Lee , S. Choi , M. Stippinger , J. Kertész , B. Kahng

Elastic systems, such as magnetic domain walls, density waves, contact lines, and cracks, are all pinned by substrate disorder. When driven, they move via successive jumps called avalanches, with power law distributions of size, duration…

Disordered Systems and Neural Networks · Physics 2015-06-22 Alexander Dobrinevski , Pierre Le Doussal , Kay Jörg Wiese

Physical systems characterized by stick-slip dynamics often display avalanches. Regardless of the diversity of their microscopic structure, these systems are governed by a power-law distribution of avalanche size and duration. Here we focus…

A random fiber bundle model with a mixed Weibull distribution is studied under the Global Load Sharing (GLS) scheme. The mixed model consists of two sets of fibers. The threshold strength of one set of fibers are randomly chosen from a…

Statistical Mechanics · Physics 2007-05-23 Uma Divakaran , Amit Dutta