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The theory of the depinning transition of elastic manifolds in random media provides a framework for the statistical dynamics of dislocation systems at yield. We consider the case of a single flexible dislocation gliding through a random…

Materials Science · Physics 2007-05-23 Stefano Zapperi , Michael Zaiser

Glitches are commonly observed for pulsars, which are explained by various mechanisms. One hypothesis attributes the glitch effect to the instantaneous moment of inertia change of the whole star caused by a starquake, which is similar to…

High Energy Astrophysical Phenomena · Physics 2023-02-01 Ruipeng Lu , Han Yue , Xiaoyu Lai , Weihua Wang , Shenjian Zhang , Renxin Xu

We consider two statistical regularities that were used to explain Omori's law of the aftershock rate decay: the Levy and Inverse Gaussian (IGD) distributions. These distributions are thought to describe stress behavior influenced by…

Applications · Statistics 2012-07-24 Yan Y. Kagan

We study statistical properties of the number of large earthquakes over the past century. We analyze the cumulative distribution of the number of earthquakes with magnitude larger than threshold M in time interval T, and quantify the…

Geophysics · Physics 2012-03-30 Eric G. Daub , Eli Ben-Naim , Robert A. Guyer , Paul A. Johnson

The Carlson-Langer model is a deterministic model of earthquakes. There were many investigations of this model, but its complicated spatio-temporal dynamics is not yet completely understood. We again study the model equation numerically,…

Geophysics · Physics 2015-06-17 Hidetsugu Sakaguchi , Shingo Morita

We discover a remarkable correlation between the inter-tremor time interval and the slenderness ratio of the overriding plate in subduction zones all over the world. In order to understand this phenomenon better, we perform numerical…

Geophysics · Physics 2020-10-05 Jyoti Behura , Shayan Mehrani , Farnoush Forghani

We study the asymptotic distribution for the occurrence time of the next large earthquake, by knowing the last large seismic event occurred a long time ago. We prove that, under reasonable conditions, such a distribution is asymptotically…

Statistics Theory · Mathematics 2016-02-10 Raúl Fierro , Víctor Leiva

Potential energy stored during the inter-seismic period by tectonic loading around faults is released during earthquakes as radiated energy, heat and fracture energy. The latter is of first importance since it controls the nucleation,…

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

A dynamic earthquake source process is modeled by assuming interaction among frictional heat, fluid pressure, and inelastic porosity. In particular, fluid pressure increase due to frictional heating (thermal pressurization effect) and fluid…

Geophysics · Physics 2017-09-13 Takehito Suzuki

Upon employing the analysis in a new time domain, termed natural time, it has been recently demonstrated that a remarkable change of seismicity emerges before major mainshocks in California. What constitutes this change is that the…

Geophysics · Physics 2017-03-27 P. A. Varotsos , N. V. Sarlis , E. S. Skordas

In recent years, considerable attention has been paid to research and development methods able to assess the seismic energy propagation on the territory. The seismic energy propagation is strongly related to the complexity of the source and…

Computational Physics · Physics 2018-04-11 Giulio Zuccaro , Daniela De Gregorio , Magdalini Titirla , Mariano Modano , Luciano Rosati

We study the statistical properties of time distribution of seimicity in California by means of a new method of analysis, the Diffusion Entropy. We find that the distribution of time intervals between a large earthquake (the main shock of a…

By characterising the hydrodynamic stresses generated by statistically homogeneous and isotropic turbulence in rigid aggregates, we estimate theoretically the rate of turbulent breakup of colloidal aggregates and the size distribution of…

Fluid Dynamics · Physics 2015-06-19 Jeremias De Bona , Alessandra S. Lanotte , Marco Vanni

Spatial distances between subsequent earthquakes in southern California exhibit scale-free statistics, with a critical exponent $\delta \approx 0.6$, as well as finite size scaling. The statistics are independent of the threshold magnitude…

Other Condensed Matter · Physics 2009-11-10 Jörn Davidsen , Maya Paczuski

Simple models of earthquake faults are important for understanding the mechanisms for their observed behavior in nature, such as Gutenberg-Richter scaling. Because of the importance of long-range interactions in an elastic medium, we…

Soft Condensed Matter · Physics 2013-05-29 Junchao Xia , Harvey Gould , William Klein , John B. Rundle

This paper revisits the classical multi-agent average consensus problem for which many different event-triggered control strategies have been proposed over the last decade. Many of the earliest versions of these works conclude asymptotic…

Optimization and Control · Mathematics 2020-05-26 James Berneburg , Cameron Nowzari

For earthquake-resistant design, engineering seismologists employ time-history analysis for nonlinear simulations. The nonstationary stochastic method previously developed by Pousse et al. (2006) has been updated. This method has the…

Applications · Statistics 2012-12-18 Aurore Laurendeau , Fabrice Cotton , Luis Fabian Bonilla

Legged locomotion has received increasing attention from the robotics community. In this respect, contact stability plays a critical role in ensuring that robots maintain balance, and it is a key element for balancing and walking…

Robotics · Computer Science 2017-05-30 Francesco Romano , Daniele Pucci , Silvio Traversaro , Francesco Nori

Using the standard ETAS model of triggered seismicity, we present a rigorous theoretical analysis of the main statistical properties of temporal clusters, defined as the group of events triggered by a given main shock of fixed magnitude m…

Geophysics · Physics 2017-08-24 A. Saichev , D. Sornette
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