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Related papers: Comment on "Earthquakes Descaled"

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A part of the seismic time series, in which the Omori law for temporal pattern of aftershocks holds, is refereed to as the Omori regime. Here the properties of correlation between earthquake events both inside and outside of the Omori…

Statistical Mechanics · Physics 2015-06-24 Sumiyoshi Abe , Norikazu Suzuki

We propose a new metric to quantify the correlation between any two earthquakes. The metric consists of a product involving the time interval and spatial distance between two events, as well as the magnitude of the first one. According to…

Statistical Mechanics · Physics 2007-05-23 Marco Baiesi , Maya Paczuski

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

The inverse Omori law for foreshocks discovered in the 1970s states that the rate of earthquakes prior to a mainshock increases on average as a power law ~ 1/(t_c-t)^p' of the time to the mainshock occurring at t_c. Here, we show that this…

Statistical Mechanics · Physics 2007-05-23 A. Helmstetter , D. Sornette , J. -R. Grasso

The known Omori law is presented in the form of differential equation that describes the evolution of the aftershock activity. This equation is derived hypothetically with taking into account deactivation of the faults in epicentral zone of…

Geophysics · Physics 2016-04-26 Anatol V. Guglielmi

Together with the Gutenberg-Richter distribution of earthquake magnitudes, Omori's law is the best established empirical characterization of earthquake sequences and states that the number of smaller earthquakes per unit time triggered by a…

Statistical Mechanics · Physics 2015-06-25 A. Sornette , D. Sornette

Short and long range interactions between earthquakes are attracting increasing interest. Scale invariant properties of seismicity in time, space and energy argue for the presence of complex triggering mechanisms where, like a cascade…

Geophysics · Physics 2007-05-23 Patrizia Tosi , Valerio De Rubeis , Vittorio Loreto , Luciano Pietronero

The emergence of a power-law distribution for the energy released during an earthquake is investigated in several models. Generic features are identified which are based on the self-affine behavior of the stress field prior to an event.…

In this work the distribution of inter-occurrence times between earthquakes in aftershock sequences is analyzed and a model based on a non-homogeneous Poisson (NHP) process is proposed to quantify the observed scaling. In this model the…

Geophysics · Physics 2007-05-23 Robert Shcherbakov , Gleb Yakovlev , Donald L. Turcotte , John B. Rundle

In many important systems exhibiting crackling noise --- intermittent avalanche-like relaxation response with power-law and, thus, self-similar distributed event sizes --- the "laws" for the rate of activity after large events are not…

Statistical Mechanics · Physics 2016-08-31 Jörn Davidsen , Marco Baiesi

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 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

130 years ago, Omori formulated the first law of earthquake physics. The essence of the law is that the frequency of aftershocks decreases hyperbolically over time. 100 years ago, Hirano doubted the universality of Omori law and proposed a…

Geophysics · Physics 2024-01-09 Anatol Guglielmi , Boris Klain , Alexey Zavyalov , Oleg Zotov

Based on the effective field theory philosophy, a universal form of the scaling laws could be easily derived with the scaling anomalies naturally clarified as the decoupling effects of underlying physics. In the novel framework, the…

High Energy Physics - Theory · Physics 2007-05-23 Ji-Feng Yang

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

Earthquakes and solar flares are phenomena involving huge and rapid releases of energy characterized by complex temporal occurrence. By analysing available experimental catalogs, we show that the stochastic processes underlying these…

Statistical Mechanics · Physics 2009-11-11 L. de Arcangelis , C. Godano , E. Lippiello , M. Nicodemi

Spatiotemporal properties of seismicity are investigated for a worldwide (WW) catalog and for Southern California in the stationary case (SC), showing a nearly universal scaling behavior. Distributions of distances between consecutive…

Statistical Mechanics · Physics 2009-11-11 Alvaro Corral

Natural earthquake fault systems are highly non-homogeneous. The inhomogeneities occur be- cause the earth is made of a variety of materials which hold and dissipate stress differently. In this work, we study scaling in earthquake fault…

Geophysics · Physics 2015-03-17 Rachele Dominguez , Kristy Tiampo , C. A. Serino , W. Klein

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

The number of earthquakes as a function of magnitude decays as a power law. This trend is usually justified using spring-block models, where slips with the appropriate global statistics have been numerically observed. However, prominent…

Disordered Systems and Neural Networks · Physics 2010-05-24 E. A. Jagla , A. B. Kolton