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In the early stages of running of the CRESST dark matter search using sapphire detectors at very low temperature, an unexpectedly high rate of signal pulses appeared. Their origin was finally traced to fracture events in the sapphire due to…

An equal load sharing fiber bundle model for thermally activated breakdown is developed using transition state theory to describe the rate of elementary failures. The lifetime distribution, average, variance and their asymptotic limits for…

Statistical Mechanics · Physics 2025-08-20 Stefan Hiemer , Paolo Moretti , Stefano Zapperi , Michael Zaiser

We have numerically studied a mean-field fiber bundle model of fracture at a non-zero temperature and acted by a constant external tensile stress. The individual fibers fail (local damage) due to creep-like dynamics that lead up to a…

Statistical Mechanics · Physics 2024-02-23 Tarun Ram Kanuri , Subhadeep Roy , Soumyajyoti Biswas

Electric power-systems are one of the most important critical infrastructures. In recent years, they have been exposed to extreme stress due to the increasing demand, the introduction of distributed renewable energy sources, and the…

Physics and Society · Physics 2016-07-13 Antonio Scala , Pier Giorgio De Sanctis Lucentini

This study examine the difference in the size of avalanches among industries triggered by demand shocks, which can be rephrased by control of the economy or fiscal policy, and by using the production-inventory model and observed data. We…

General Finance · Quantitative Finance 2016-04-05 Hiroyasu Inoue

Prediction of an imminent catastrophic event in a driven disordered system is of paramount importance - from the laboratory scale controlled fracture experiment to the largest scale of mechanical failure i.e., earthquakes. It has been long…

Statistical Mechanics · Physics 2023-07-19 Diksha , Sumanta Kundu , Bikas K. Chakrabarti , Soumyajyoti Biswas

Similarities between force-driven compression experiments of porous materials and earthquakes have been recently proposed. In this manuscript, we measure the acoustic emission during displacement-driven compression of a porous glass. The…

Materials Science · Physics 2017-05-12 Víctor Navas-Portella , Álvaro Corral , Eduard Vives

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…

Cascading failure models are typically used to capture the phenomenon where failures possibly trigger further failures in succession, causing knock-on effects. In many networks this ultimately leads to a disintegrated network where the…

Physics and Society · Physics 2017-11-15 Fiona Sloothaak , Sem C. Borst , Bert Zwart

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

The Universe that we know is populated by structures made up of aggregated matter that organizes into a variety of objects; these range from stars to larger objects, such as galaxies or star clusters, composed by stars, gas and dust in…

Astrophysics · Physics 2008-02-03 J. Pérez-Mercader

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

A model which accounts for cracking avalanches in piles of grains subject to external load is introduced and numerically simulated. The stress is stochastically transferred from higher layers to lower ones. Cracked areas exhibit various…

Disordered Systems and Neural Networks · Physics 2009-10-31 Frantisek Slanina

Heterogeneous materials are often organized in a hierarchical manner, where a basic unit is repeated over multiple scales.The structure then acquires a self-similar pattern. Examples of such structure are found in various biological and…

Statistical Mechanics · Physics 2019-08-28 Soumyajyoti Biswas , Michael Zaiser

We devise a two dimensional model that mimics the recently observed power law distributions for the amplitudes and durations of the acoustic emission signals observed during martensitic transformation [ Vives {\it et al}, Phys. Rev. Lett.…

Materials Science · Physics 2009-11-07 R. Ahluwalia , G. Ananthakrishna

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.…

Statistical Mechanics · Physics 2016-08-24 Arttu Lehtinen , Giulio Costantini , Mikko J. Alava , Stefano Zapperi , Lasse Laurson

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…

Statistical Mechanics · Physics 2008-02-03 James P. Sethna , Olga Perkovic , Karin A. Dahmen

We study the temporal evolution of avalanches in the fiber bundle model of disordered solids, when the model is gradually driven towards the critical breakdown point. We use two types of loading protocols: (i) the quasi-static loading, and…

Statistical Mechanics · Physics 2023-10-10 Narendra Kumar Bodaballa , Soumyajyoti Biswas , Parongama Sen

We report the first measurement of high order cumulants of the current fluctuations in an avalanche diode run through by a stationary dc current. Such a system is archetypic of devices in which transport is governed by a collective…

Statistical Mechanics · Physics 2014-10-08 J. Gabelli , B. Reulet

The size distributions of power outages are shown to depend on the stress, or the proximity of the load of an electrical grid to complete breakdown. Using the data for the U.S. between 2002-2017, we show that the outage statistics are…

Physics and Society · Physics 2020-02-12 Soumyajyoti Biswas , Lucas Goehring
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