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Extreme events can come either from point processes, when the size or energy of the events is above a certain threshold, or from time series, when the intensity of a signal surpasses a threshold value. We are particularly concerned by the…

统计力学 · 物理学 2017-07-26 Alvaro Corral

In many important systems exhibiting crackling noise --- intermittent avalanche-like relaxation response with power-law and, thus, self-similar distributed event sizes --- the "laws" for the rate of activity after large events are not…

统计力学 · 物理学 2016-08-31 Jörn Davidsen , Marco Baiesi

Forest-fire waiting times, defined as the time between successive events above a certain size in a given region, are calculated for Italy. The probability densities of the waiting times are found to verify a scaling law, despite that fact…

地球物理 · 物理学 2009-11-13 Alvaro Corral , Luciano Telesca , Rosa Lasaponara

Crackling noise is a common feature in many systems that are pushed slowly, the most familiar instance of which is the sound made by a sheet of paper when crumpled. In percolation and regular aggregation clusters of any size merge until a…

无序系统与神经网络 · 物理学 2013-09-26 Malte Schroeder , S. H. Ebrahimnazhad Rahbari , Jan Nagler

Crackling noise arises when a system responds to changing external conditions through discrete, impulsive events spanning a broad range of sizes. A wide variety of physical systems exhibiting crackling noise have been studied, from…

统计力学 · 物理学 2009-11-07 James P. Sethna , Karin A. Dahmen , Christopher R. Myers

Many natural phenomena exhibit power law behaviour in the distribution of event size. This scaling is successfully reproduced by Self Organized Criticality (SOC). On the other hand, temporal occurrence in SOC models has a Poisson-like…

统计力学 · 物理学 2009-11-11 Eugenio Lippiello , Lucilla de Arcangelis , Cataldo Godano

Crackling noise is observed in many disordered non-equilibrium systems in response to slowly changing external conditions. Examples range from Barkhausen noise in magnets to acoustic emission in martensites to earthquakes. Using the…

统计力学 · 物理学 2009-11-07 A. Travesset , R. A. White , K. A. Dahmen

The scaling properties of the roughness of surfaces grown by two different processes randomly alternating in time, are addressed. The duration of each application of the two primary processes is assumed to be independently drawn from given…

统计力学 · 物理学 2009-11-07 Subhadip Raychaudhuri , Yonathan Shapir

The fluctuation scaling law has universally been observed in a wide variety of phenomena. For counting processes describing the number of events occurred during time intervals, it is expressed as a power function relationship between the…

数据分析、统计与概率 · 物理学 2013-07-01 Shinsuke Koyama

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…

统计力学 · 物理学 2010-10-07 Edan Lerner , Itamar Procaccia

Event correlation between aftershocks in the coherent noise model is studied by making use of natural time, which has recently been introduced in complex time-series analysis. It is found that the aging phenomenon and the associated scaling…

统计力学 · 物理学 2009-11-10 Ugur Tirnakli , Sumiyoshi Abe

We study simultaneous price drops of real stocks and show that for high drop thresholds they follow a power-law distribution. To reproduce these collective downturns, we propose a minimal self-organized model of cascade spreading based on a…

物理与社会 · 物理学 2015-03-13 Stanislao Gualdi , Matus Medo , Yi-Cheng Zhang

We analyze the statistical properties of a temporal point process driven by a confined fractional Brownian motion. The event count distribution and power spectral density of this non--Markovian point process exhibit power--law scaling. We…

统计力学 · 物理学 2022-08-31 Aleksejus Kononovicius , Rytis Kazakevičius , Bronislovas Kaulakys

Hysteresis, the lag between the force and the response, is often associated with noisy, jerky motion which have recently been called ``avalanches''. The interesting question is why the avalanches come in such a variety of sizes: naively one…

统计力学 · 物理学 2008-02-03 James P. Sethna , Olga Perkovic , Karin A. Dahmen

We introduce a new class of models in which a large number of "agents" organize under the influence of an externally imposed coherent noise. The model shows reorganization events whose size distribution closely follows a power law over many…

凝聚态物理 · 物理学 2009-10-28 Kim Sneppen , M. E. J. Newman

We study the crackling noise emerging during single crack propagation in a specimen under three-point bending conditions. Computer simulations are carried out in the framework of a discrete element model where the specimen is discretized in…

无序系统与神经网络 · 物理学 2011-04-28 Gabor Timar , Ferenc Kun

Numerous systems ranging from deformation of materials to earthquakes exhibit bursty dynamics, which consist of a sequence of events with a broad event size distribution. Very often these events are observed to be temporally correlated or…

Arrival times of requests to print in a student laboratory were analyzed. Inter-arrival times between subsequent requests follow a universal scaling law relating time intervals and the size of the request, indicating a scale invariant…

性能 · 计算机科学 2011-11-09 Uli Harder , Maya Paczuski

Many natural or human-made systems encompassing local reactions and diffusion processes exhibit spatially distributed patterns of some relevant dynamical variable. These interactions, through self-organization and critical phenomena, give…

斑图形成与孤子 · 物理学 2024-07-08 Jean-François de Kemmeter , Adam Byrne , Amy Dunne , Timoteo Carletti , Malbor Asllani

Stress enhancement in the vicinity of brittle cracks makes the macro-scale failure properties extremely sensitive to the micro-scale material disorder. Therefore: (i) Fracturing systems often display a jerky dynamics, so-called crackling…

统计力学 · 物理学 2010-01-04 D. Bonamy
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