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Quasi-static strain-controlled measurements of stress vs strain curves in macroscopic amorphous solids result in a nonlinear looking curve that ends up either in mechanical collapse or in a steady-state with fluctuations around a mean…

Soft Condensed Matter · Physics 2016-03-02 Awadhesh K. Dubey , Itamar Procaccia , Carmel A. B. Z. Shor , Murari Singh

We characterize the distributions of size and duration of avalanches propagating in complex networks. By an avalanche we mean the sequence of events initiated by the externally stimulated `excitation' of a network node, which may, with some…

Disordered Systems and Neural Networks · Physics 2013-10-22 Daniel B. Larremore , Marshall Y. Carpenter , Edward Ott , Juan G. Restrepo

This is a review article of our work on hysteresis, avalanches, and criticality. We provide an extensive introduction to scaling and renormalization--group ideas, and discuss analytical and numerical results for size distributions,…

Materials Science · Physics 2009-09-29 James P. Sethna , Karin A. Dahmen , Olga Perkovic

Avalanche dynamics and related power law statistics are ubiquitous in nature, arising in phenomena like earthquakes, forest fires and solar flares. Very interestingly, an analogous behavior is associated with many condensed matter systems,…

Disordered Systems and Neural Networks · Physics 2009-02-09 Benedetta Cerruti , Eduard Vives

We study probability distributions of waves of topplings in the Bak-Tang-Wiesenfeld model on hypercubic lattices for dimensions D>=2. Waves represent relaxation processes which do not contain multiple toppling events. We investigate bulk…

Statistical Mechanics · Physics 2009-10-31 D. V. Ktitarev , S. Lubeck , P. Grassberger , V. B. Priezzhev

Ultrasonic waves propagating in solids have stress-dependent velocities. The relation between stress (or strain) and velocity forms the basis of non-linear acoustics. In homogeneous solids, conventional time-of-flight techniques have…

Geophysics · Physics 2009-01-14 Eric Larose , Stephen Hall

A flexible sheet clamped at both ends and submitted to a permanent wind is unstable and propagates waves. Here, we experimentally study the selection of frequency and wavenumber as a function of the wind velocity. These quantities obey…

Fluid Dynamics · Physics 2015-11-06 Pan Jia , Bruno Andreotti , Philippe Claudin

Soft materials such as colloidal suspensions, polymer solutions and liquid crystals are constituted by mesoscopic entities held together by weak forces. Their mechanical moduli are several orders of magnitude lower than those of atomic…

Soft Condensed Matter · Physics 2015-06-16 Ranjini Bandyopadhyay

Recently the scaling laws describing the roughness development of fracture surfaces was proposed to be related to the macroscopic elastic energy released during crack propagation [Mor00]. On this basis, an energy-based asymptotic analysis…

Materials Science · Physics 2009-11-07 S. Morel , E. Bouchaud , G. Valentin

We show using numerical simulations that slowly driven skyrmions interacting with random pinning move via correlated jumps or avalanches. The avalanches exhibit power law distributions in their duration and size, and the average avalanche…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 S. A. Diaz , C. Reichhardt , D. P. Arovas , A. Saxena , C. J. O. Reichhardt

Laboratory earthquakes exhibit characteristics of a low dimensional random attractor with a dimension similar to that of natural slow earthquakes. A model of stochastic differential equations based on rate and state-dependent friction…

Chaotic Dynamics · Physics 2022-04-07 Adriano Gualandi , Davide Faranda , Chris Marone , Massimo Cocco , Gianmarco Mengaldo

At low temperatures the critical state in superconducting films can be unstable with respect to thermomagnetic dendritic avalanches. By numerical simulations of disk-shaped superconductors, we consider how the dynamics and morphology of the…

Superconductivity · Physics 2013-09-26 J. I. Vestgarden , Y. M. Galperin , T. H. Johansen

Speech is a distinctive complex feature of human capabilities. In order to understand the physics underlying speech production, in this work we empirically analyse the statistics of large human speech datasets ranging several languages. We…

Physics and Society · Physics 2014-08-06 Jordi Luque , Bartolo Luque , Lucas Lacasa

In a broad class of complex materials a quench leads to a multi-scaled relaxation process known as aging. To explain its commonality and the astounding insensitivity to most microscopic details, record dynamics (RD) posits that a small set…

Soft Condensed Matter · Physics 2016-12-26 Dominic M. Robe , Stefan Boettcher , Paolo Sibani , Peter Yunker

In this study, we have investigated the fluctuations of particle motion, i.e. the non-affine motion, during the avalanche process, discovering a rich dynamics from the microscopic to the macroscopic scales. We find that there is strong…

Soft Condensed Matter · Physics 2015-02-04 Ziwei Wang , Jie Zhang

The successful prediction of earthquakes is one of the holy grails in Earth Sciences. Traditional predictions use statistical information on recurrence intervals, but those predictions are not accurate enough. In a recent paper, a machine…

Geophysics · Physics 2020-11-16 Silke van Klaveren , Ivan Vasconcelos , Andre Niemeijer

Complex systems, when poised near a critical point of a phase transition between order and disorder, exhibit a dynamics comprising a scale-free mixture of order and disorder which is universal, i.e. system-independent (1-5). It allows…

Neurons and Cognition · Quantitative Biology 2009-12-31 Dietmar Plenz , Dante R. Chialvo

Avalanches in sandpiles are represented throughout a process of percolation in a Bethe lattice with a feedback mechanism. The results indicate that the frequency spectrum and probability distribution of avalanches resemble more to…

Soft Condensed Matter · Physics 2009-10-31 Oscar Sotolongo-Costa , Alexei Vazquez , J. C. Antoranz

We perform a laboratory-scale experiment of submarine avalanches on a rough inclined plane. A sediment layer is prepared and thereafter tilted up to an angle lower than the spontaneous avalanche angle. The sediment is scrapped until an…

Soft Condensed Matter · Physics 2007-05-23 F. Malloggi , J. Lanuza , B. Andreotti , E. Clément

The hysteresis or internal friction in the deformation of crystalline solids stressed cyclically is studied from the viewpoint of collective dislocation dynamics. Stress-controlled simulations of a dislocation dynamics model at various…

Materials Science · Physics 2015-06-11 Lasse Laurson , Mikko J. Alava
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