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Earthquakes are complex physical processes driven by the stick-slip motion of a sliding fault. After the main quake, a series of aftershocks typically follows. These are loosely defined as events that follow a given event and occur within…

Geophysics · Physics 2022-12-12 Pinaki Kumar , Roberto Benzi , Jeannot Trampert , Federico Toschi

We proceeded from general physical concepts based, on the one hand, on the Umoff-Poynting theorem, and on the other, on the phenomenological theory of earthquakes, and formulated the following question: What are the directions of energy…

Geophysics · Physics 2024-01-25 A. V. Guglielmi , O. D. Zotov

The statistical properties of avalanches in a dissipative particulate system under slow shear are investigated using molecular dynamics simulations. It is found that the magnitude-frequency distribution obeys the Gutenberg-Richter law only…

Statistical Mechanics · Physics 2015-07-31 Takahiro Hatano , Clément Narteau , Peter Shebalin

An attempt to construct a phenomenological theory of earthquakes is being undertaken by a small research team, which includes the author. We have only taken the first steps towards goal, but the results already obtained convincingly…

Geophysics · Physics 2025-10-31 A. V. Guglielmi

We report new tests on the Taiwan earthquake catalog of the prediction by the Multifractal Stress Activation (MSA) model that the p-value of the Omori law for the rate of aftershocks following a mainshock is an increasing function of its…

Geophysics · Physics 2015-05-30 Ching-Yi Tsai , Guy Ouillon , Didier Sornette

We propose and study a modified version of the Olami-Feder-Christiensen model of seismicity, that includes a mechanism of structural relaxation. We obtain realistic features of seismicity that are not obtained with the original version,…

Statistical Mechanics · Physics 2010-08-23 E. A. Jagla

Whether aftershocks originate directly from the mainshock and surrounding stress environment or from afterslip dynamics is crucial to the understanding of the nature of aftershocks. We build on a classical description of the fault and…

Geophysics · Physics 2019-06-26 Eugenio Lippiello , Giuseppe Petrillo , François Landes , Alberto Rosso

Several recent works point out that the crowd of small unobservable earthquakes (with magnitudes below the detection threshold $m_d$) may play a significant and perhaps dominant role in triggering future seismicity. Using the ETAS branching…

Geophysics · Physics 2007-12-04 A. Saichev , D. Sornette

A modified Carlson-Langer model for earthquakes is proposed, which includes nonlinear visco-elasticity. Several aftershocks are generated after the main shock owing to the damping of the additional visco-elastic force. Both the…

Geophysics · Physics 2015-06-11 Hidetsugu Sakaguchi , Kazuki Okamura

We quantify the correlation between earthquakes and use the same to distinguish between relevant causally connected earthquakes. Our correlation metric is a variation on the one introduced by Baiesi and Paczuski (2004). A network of…

Geophysics · Physics 2010-03-25 T. R. Krishna Mohan P. G. , Revathi

It has been long stated that there are profound analogies between fracture experiments and earthquakes; however, few works attempt a complete characterization of the parallelisms between these so separate phenomena. We study the Acoustic…

We investigate out of equilibrium transport through an orbital Kondo system realized in a single quantum dot, described by the multiorbital impurity Anderson model. Shot noise and current are calculated up to the third order in bias voltage…

Mesoscale and Nanoscale Physics · Physics 2011-03-02 Rui Sakano , Tatsuya Fujii , Akira Oguri

We study the statistical properties of recurrence times in the self-excited Hawkes conditional Poisson process, the simplest extension of the Poisson process that takes into account how the past events influence the occurrence of future…

Geophysics · Physics 2015-06-12 A. Saichev , D. Sornette

As part of an effort to develop a systematic methodology for earthquake forecasting, we use a simple model of seismicity based on interacting events which may trigger a cascade of earthquakes, known as the Epidemic-Type Aftershock Sequence…

Statistical Mechanics · Physics 2015-06-24 A. Helmstetter , D. Sornette

Using error diagrams, we quantify the forecasting of characteristic-earthquake occurrence in a recently introduced minimalist model. Initially we connect the earthquake alarm at a fixed time after the ocurrence of a characteristic event.…

Following Hergarten and Neugebauer [2002] who discovered aftershock and foreshock sequences in the Olami-Feder-Christensen (OFC) discrete block-spring earthquake model, we investigate to what degree the simple toppling mechanism of this…

Condensed Matter · Physics 2009-11-10 A. Helmstetter , S. Hergarten , D. Sornette

Inspired by spring-block models, we elaborate a "minimal" physical model of earthquakes which reproduces two main empirical seismological laws, the Gutenberg-Richter law and the Omori aftershock law. Our new point is to demonstrate that the…

Statistical Mechanics · Physics 2016-05-13 O. M. Braun , E. Tosatti

The occurrence of aftershocks following a major financial crash manifests the critical dynamical response of financial markets. Aftershocks put additional stress on markets, with conceivable dramatic consequences. Such a phenomenon has been…

Statistical Finance · Quantitative Finance 2012-09-21 Fulvio Baldovin , Francesco Camana , Michele Caraglio , Attilio L. Stella , Marco Zamparo

Hawkes process is one of the most commonly used models for investigating the self-exciting nature of earthquake occurrences. However, seismicity patterns have complicated characteristics due to heterogeneous geology and stresses, for which…

Applications · Statistics 2023-02-15 Junhyeon Kwon , Yingcai Zheng , Mikyoung Jun

Spring-block models, such as the Olami-Feder-Christensen (OFC) model, were introduced several years ago to describe earthquake dynamics in the context of selforganized criticality. With the aim to address the dependency of the seismicity…

Geophysics · Physics 2015-06-19 Markos Avlonitis , Gerasimos Papadopoulos