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Scaling ideas and renormalization group approaches proved crucial for a deep understanding and classification of critical phenomena in thermal equilibrium. Over the past decades, these powerful conceptual and mathematical tools were…

Statistical Mechanics · Physics 2017-03-29 Uwe C. Täuber

The relation between seismic moment and fractured area is crucial to earthquake hazard analysis. Experimental catalogs show multiple scaling behaviors, with some controversy concerning the exponent value in the large earthquake regime.…

Statistical Mechanics · Physics 2016-05-11 François P. Landes , E. Lippiello

Percolation is a cornerstone concept in physics, providing crucial insights into critical phenomena and phase transitions. In this study, we adopt a kinetic perspective to reveal the scaling behaviors of higher-order gaps in the largest…

Statistical Mechanics · Physics 2024-11-01 Sheng Fang , Qing Lin , Jun Meng , Bingsheng Chen , Jan Nagler , Youjin Deng , Jingfang Fan

Many systems used by society are extremely vulnerable to space weather events such as solar flares and geomagnetic storms which could potentially cause catastrophic damage. In recent years, many works have emerged to provide early warning…

Machine Learning · Computer Science 2020-11-24 Charles Topliff , Morris Cohen , William Bristow

Earthquakes vary in size over many orders of magnitude, yet the scaling of the earthquake energy budget remains enigmatic. We propose that fundamentally different "small-slip" and "large-slip" fracture processes govern earthquakes. We…

Stress accumulation-relaxation meta-models of pulsar glitches make precise, microphysics-agnostic predictions of long-term glitch statistics, which can be falsified by existing and future timing data. Previous meta-models assume that…

High Energy Astrophysical Phenomena · Physics 2021-08-18 Julian B. Carlin , Andrew Melatos

Earthquake-induced secondary ground failure hazards, such as liquefaction and landslides, result in catastrophic building and infrastructure damage as well as human fatalities. To facilitate emergency responses and mitigate losses, the U.S.…

Computational Engineering, Finance, and Science · Computer Science 2022-04-19 Susu Xu , Joshua Dimasaka , David J. Wald , Hae Young Noh

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…

Statistical Mechanics · Physics 2010-01-04 D. Bonamy

We analyze numerically three different models exhibiting an absorbing phase transition. We focus on the finite-size scaling as well as the dynamical scaling behavior. An accurate determination of several critical exponents allows to…

Statistical Mechanics · Physics 2009-11-10 S. Lubeck , P. C. Heger

A spatial avalanche model is introduced, in which avalanches increase stability in the regions where they occur. Instability is driven globally by a driving process that contains shocks. The system is typically subcritical, but the shocks…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 James Burridge

We have explored the temporal variability of the seismicity at global scale over the last 124 years, as well as its potential drivers. To achieve this, we constructed and analyzed an averaged global seismicity curve for earthquakes of…

A hanging glacier at the east face of Weisshorn broke off in 2005. We were able to monitor and measure surface motion and icequake activity for 21 days up to three days prior to the break-off. Results are presented from the analysis of…

Geophysics · Physics 2009-07-01 J. Faillettaz , M. Funk , D. Sornette

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

The emergence of complex organs is driven by the coordinated proliferation, migration and differentiation of precursor cells. The fate behaviour of these cells is reflected in the time evolution their progeny, termed clones, which serve as…

Data-driven machine-learning for predicting instantaneous and future fault-slip in laboratory experiments has recently progressed markedly due to large training data sets. In Earth however, earthquake interevent times range from 10's-100's…

Geophysics · Physics 2022-01-19 Kun Wang , Christopher W. Johnson , Kane C. Bennett , Paul A. Johnson

Like all natural hazards, space weather exhibits occasional extreme events over timescales of decades to centuries. Historical events provoked much interest but had little economic impact. However, the widespread adoption of advanced…

Space Physics · Physics 2009-09-01 Mike Hapgood

The failure of materials and interfaces is mediated by cracks, nearly singular dissipative structures that propagate at velocities approaching the speed of sound. Crack initiation and subsequent propagation -- the dynamic process of…

Materials Science · Physics 2015-06-15 Eran Bouchbinder , Tamar Goldman , Jay Fineberg

Collisions are the core agent of planet formation. In this work, we derive an analytic description of the dynamical outcome for any collision between gravity-dominated bodies. We conduct high-resolution simulations of collisions between…

Earth and Planetary Astrophysics · Physics 2015-03-19 Zoë M. Leinhardt , Sarah T. Stewart

We report a phenomenon that physical perturbations sometimes can benefit the certainty of a free-fall motion with chaotic modes, albeit, as commonly believed, they can ruin it. We statistically compare those factors that may lead to…

Chaotic Dynamics · Physics 2022-06-28 Tianzhuang Xu , Bo Zhang , Jing Li , Zhihui Li , Shijuan Liao

We introduce a systematic method for extracting multivariable universal scaling functions and critical exponents from data. We exemplify our insights by analyzing simulations of avalanches in an interface using simulations from a driven…

Statistical Mechanics · Physics 2011-12-06 Yan-Jiun Chen , Stefanos Papanikolaou , James P. Sethna , Stefano Zapperi , Gianfranco Durin