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Data based detection and quantification of causation in complex, nonlinear dynamical systems is of paramount importance to science, engineering and beyond. Inspired by the widely used methodology in recent years, the cross-map-based…

Dynamical Systems · Mathematics 2022-03-29 Xiong Ying , Si-Yang Leng , Huan-Fei Ma , Qing Nie , Ying-Cheng Lai , Wei Lin

In line of the intermediate-term monitoring of seismic activity aimed at prediction of the world largest earthquakes the seismic dynamics of the Earth's lithosphere is analysed as a single whole, which is the ultimate scale of the complex…

Geophysics · Physics 2007-05-23 Leontina L. Romashkova , Vladimir G. Kossobokov

Acoustic emission (AE) measurements performed during the compressive loading of concrete samples with three different microstructures (aggregate sizes and porosity) and four sample sizes revealed that failure is preceded by an acceleration…

Statistical Mechanics · Physics 2019-01-16 Chi-Cong Vu , David Amitrano , Olivier Plé , Jérôme Weiss

Avalanches whose sizes and durations are distributed as power laws appear in many contexts. Here, we show that there is a hidden peril in thresholding continuous times series --either from empirical or synthetic data-- for the detection of…

Disordered Systems and Neural Networks · Physics 2019-09-11 Pablo Villegas , Serena di Santo , Raffaella Burioni , Miguel A. Muñoz

Contacts at the Coulomb threshold are unstable to tangential perturbations and thus contribute to failure at the microscopic level. How is such a local property related to global failure, beyond the effective picture given by a Mohr-Coulomb…

Soft Condensed Matter · Physics 2010-07-06 Silke Henkes , Carolina Brito , Olivier Dauchot , Wim Van Saarloos

Strong astrophysical shocks, diffusively accelerating cosmic rays (CR) ought to develop CR precursors. The length of such precursor $L_{p}$ is believed to be set by the ratio of the CR mean free path $\lambda$ to the shock speed, i.e.,…

High Energy Astrophysical Phenomena · Physics 2011-02-22 M. A. Malkov , P. H. Diamond , R. Z. Sagdeev

Landslides exhibit intermittent gravity-driven downslope movements developing over days to years before a possible major collapse, commonly boosted by external events like precipitations and earthquakes. The reasons behind these episodic…

Geophysics · Physics 2025-06-10 Qinghua Lei , Didier Sornette

The fate of cities under natural hazards depends not only on hazard intensity but also on the coupling of structural damage, a collective process that remains poorly understood. Here we show that urban structural damage exhibits…

Applications · Statistics 2026-05-22 Sebin Oh , Jinyan Zhao , Raul Rincon , Jamie E. Padgett , Ziqi Wang

We revisit a simple dynamical model of rupture in random media with long-range elasticity to test whether rupture can be seen as a first-order or a critical transition. We find a clear scaling of the macroscopic modulus as a function of…

Statistical Mechanics · Physics 2009-10-30 D. Sornette , J. V. Andersen

We present a one-dimensional numerical model based on elastically coupled sliders on a frictional incline of variable tilt. This very simple approach makes possible to study the precursors to the avalanche and to provide a rationalization…

Soft Condensed Matter · Physics 2017-09-20 Axelle Amon , Baptiste Blanc , Jean-Christophe Géminard

The onset of stochasticity is measured in $\Lambda$CDM cosmological simulations using a set of classical observables. It is quantified as the local derivative of the logarithm of the dispersion of a given observable (within a set of…

Astrophysics · Physics 2009-11-13 Jerome Thiebaut , Christophe Pichon , Thierry Sousbie , Simon Prunet , D. Pogosyan

A globally driven self-organized critical model of earthquakes with conservative dynamics has been studied. An open but moving boundary condition has been used so that the origin (epicenter) of every avalanche (earthquake) is at the center…

Statistical Mechanics · Physics 2009-11-11 S. S. Manna , K. Bhattacharya

We study the behavior of fracture in disordered systems close to the breakdown point. We simulate numerically both scalar (resistor network) and vectorial (spring network) models with threshold disorder, driven at constant current and…

Materials Science · Physics 2008-02-03 Stefano Zapperi , Purusattam Ray , H. Eugene Stanley , Alessandro Vespignani

Scientific and technological frontiers advance through punctuated dynamics, yet the principles governing these dynamics remain poorly understood. Here we collect and analyze datasets tracking the evolution of frontiers across 9 different…

Physics and Society · Physics 2026-05-19 Yian Yin , Dashun Wang

We introduce a modification of the OFC earthquake model [Phys. Rev. Lett. 68, 1244 (1992)] in order to improve resemblance with the Burridge and Knopoff mechanical model and with possible laboratory experiments. A constant force continually…

Statistical Mechanics · Physics 2009-11-11 O. Ramos , E. Altshuler , K. J. Maloy

We use a simple yet Earth-like atmospheric model to propose a new framework for understanding the mathematics of blocking events. Analysing error growth rates along a very long model trajectory, we show that blockings are associated with…

Atmospheric and Oceanic Physics · Physics 2020-01-08 Valerio Lucarini , Andrey Gritsun

We have studied the kinetics of cluster formation for dynamical systems of dimensions up to $n=8$ interacting through elastic collisions or coalescence. These systems could serve as possible models for gas kinetics, polymerization and…

Statistical Mechanics · Physics 2013-01-15 Carson McFadden , Louis-S. Bouchard

We investigate the breakdown of disordered networks under the action of an increasing external---mechanical or electrical---force. We perform a mean-field analysis and estimate scaling exponents for the approach to the instability. By…

Statistical Mechanics · Physics 2009-10-31 Stefano Zapperi , Purusattam Ray , H. Eugene Stanley , Alessandro Vespignani

Finite-size effects in systems with diverging characteristic lengthscale have been addressed via state-of-the-art Monte Carlo and molecular dynamics simulations of various models exhibiting solid-solid, liquid-liquid and vapor-liquid…

Statistical Mechanics · Physics 2018-03-09 Subir K. Das , Sutapa Roy , Suman Majumder , Shaista Ahmad

Physical understanding of how the interplay between symmetries and nonlinear effects can control the scaling and multiscaling properties in a coupled driven system, such as magnetohydrodynamic turbulence or turbulent binary fluid mixtures,…

Statistical Mechanics · Physics 2021-03-23 Sudip Mukherjee , Abhik Basu
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