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We investigate the scaling behavior of the cluster size distribution in the Drossel-Schwabl Forest Fire model (DS-FFM) by means of large scale numerical simulations, partly on (massively) parallel machines. It turns out that simple scaling…

Statistical Mechanics · Physics 2009-11-07 Gunnar Pruessner , Henrik Jeldtoft Jensen

Like natural seismicity, induced seismicity caused by fluid injection also shows a power law size distribution, and its gradient b-value (ratio of small to large earthquakes) is often used for seismic hazard analysis. Despite well-known…

The distribution of inter-occurrence time between seismic events is a quantity of great interest in seismic risk assessment. We evaluate this distribution for different models of earthquakes occurrence and follow two distinct approaches:…

Geophysics · Physics 2007-05-23 C. Godano , L. de Arcangelis

Spatiotemporal correlations of the two-dimensional spring-block (Burridge-Knopoff) models of earthquakes with the long-range inter-block interactions are extensively studied by means of numerical computer simulations. The long-range…

Other Condensed Matter · Physics 2009-11-13 Takahiro Mori , Hikaru Kawamura

Statistical properties of earthquakes are studied both by the analysis of real earthquake catalog of Japan and by numerical computer simulations of the spring-block model in both one and two dimensions. Particular attention is paid to the…

Other Condensed Matter · Physics 2012-01-27 Hikaru Kawamura

Forest fires pose a natural threat with devastating social, environmental, and economic implications. The rapid and highly uncertain rate of spread of wildfires necessitates a trustworthy digital tool capable of providing real-time…

Spatiotemporal correlations of the two-dimensional spring-block (Burridge-Knopoff) model of earthquakes are extensively studied by means of numerical computer simulations. The model is found to exhibit either ``subcritical'' or…

Other Condensed Matter · Physics 2015-05-13 Takahiro Mori , Hikaru Kawamura

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

We investigate the sequence of great earthquakes over the past century. To examine whether the earthquake record includes temporal clustering, we identify aftershocks and remove those from the record. We focus on the recurrence time,…

Geophysics · Physics 2013-07-22 E. Ben-Naim , E. G. Daub , P. A. Johnson

I study a recently proposed statistical model of earthquake dynamics that incorporates aging as a fundamental ingredient. The model is known to generate earthquake sequences that quantitatively reproduce the spatial and temporal clustering…

Statistical Mechanics · Physics 2015-05-19 E. A. Jagla

The Gutenberg-Richter law is a fundamental empirical law in seismology describing earthquake frequency-magnitude distributions, with one of its key parameters, the so-called b-value, quantifying the relative frequency of small versus large…

Geophysics · Physics 2026-03-10 Wenbo Pan , Zixin Zhang , Bjorn Lund , Qinghua Lei

Simple models for ruptures along a heterogeneous earthquake fault zone are studied, focussing on the interplay between the roles of disorder and dynamical effects. A class of models are found to operate naturally at a critical point whose…

Disordered Systems and Neural Networks · Physics 2009-10-30 Daniel S. Fisher , Karin Dahmen , Sharad Ramanathan , Yehuda Ben-Zion

Stress evolution governs material failure across scales, from microscopic fractures to large earthquakes, yet direct observation of its dynamics in natural systems has remained elusive. Laboratory experiments using active ultrasonic…

Geophysics · Physics 2025-12-03 Nader Shakibay Senobari

Monitoring stress recovery and accumulation associated with megaquakes helps to assess their recurrence. Previous studies proposed a high likelihood of imminent recurrence for the 2011 Tohoku and the 17th-century Hokkaido megaquakes…

Geophysics · Physics 2026-02-09 K. Z. Nanjo , T. Hori , D. Iwata

Reliable earthquake forecasting methods have long been sought after, and so the rise of modern data science techniques raises a new question: does deep learning have the potential to learn this pattern? In this study, we leverage the large…

Geophysics · Physics 2023-07-06 Jonas Koehler , Wei Li , Johannes Faber , Georg Ruempker , Nishtha Srivastava

Forest fire spreading is a complex phenomenon characterized by a stochastic behavior. Nowadays, the enormous quantity of georeferenced data and the availability of powerful techniques for their analysis can provide a very careful picture of…

Populations and Evolution · Quantitative Biology 2023-09-06 Roberto Beneduci , Giovanni Mascali

Terra Seismic can predict most major earthquakes (M6.2 or greater) at least 2 - 5 months before they will strike. Global earthquake prediction is based on determinations of the stressed areas that will start to behave abnormally before…

Geophysics · Physics 2020-03-18 Oleg Elshin , Andrew A. Tronin

The earthquake-like model with a continuous distribution of static thresholds is used to describe the properties of solid friction. The evolution of the model is reduced to a master equation which can be solved analytically. This approach…

Statistical Mechanics · Physics 2008-08-06 Oleg Braun , Michel Peyrard

Many systems in nature are conjectured to exist at a critical point, including the brain and earthquake faults. The primary reason for this conjecture is that the distribution of clusters (avalanches of firing neurons in the brain or…

Statistical Mechanics · Physics 2023-03-22 W. Klein , Harvey Gould , Sakib Matin

We present an overview of our ongoing studies of the rich dynamical behavior of the uniform, deterministic Burridge--Knopoff model of an earthquake fault. We discuss the behavior of the model in the context of current questions in…

adap-org · Physics 2009-10-22 J. M. Carlson , J. S. Langer , B. E. Shaw