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Aftershocks of the 2012 Off-Coast of Sumatra Earthquake Sequence exhibit a complex and diffuse spatial distribution. The first-order complexity in aftershock distribution is clear and well beyond the influence of typical earthquake location…

Geophysics · Physics 2019-06-26 Chengping Chai , Charles J. Ammon , K. Michael Cleveland

Self-similarity indicates that large and small earthquakes share the same physics, where all variables scale with rupture length $L$. Here I show that rupture tip acceleration during the start of dynamic rupture (break-out phase) is also…

Geophysics · Physics 2024-11-05 Stefan Nielsen

A widespread framework for understanding frictional rupture, such as earthquakes along geological faults, invokes an analogy to ordinary cracks. A distinct feature of ordinary cracks is that their near edge fields are characterized by a…

Soft Condensed Matter · Physics 2021-05-11 Efim A. Brener , Eran Bouchbinder

Scale symmetry is a fundamental symmetry of physics that seems however not to be fully realized in the universe. Here, we focus on the astronomical scales ruled by gravity, where scale symmetry holds and gives rise to a truly scale…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-22 Jose Gaite

Slow-slip phenomena, including afterslips and silent earthquakes, are studied using a one-dimensional Burridge--Knopoff model that obeys the rate-and-state dependent friction law. By varying only a few model parameters, this simple model…

Geophysics · Physics 2018-05-21 Hikaru Kawamura , Maho Yamamoto , Yushi Ueda

The data analysis of aftershock events of L Aquila earthquake in Apennines following the main 6.3 Mw event of April 6, 2009 has been carried out by standard statistical geophysical tools. The results show the heterogeneity of seismic…

Geophysics · Physics 2009-05-12 D. Innocenti , M. Iovenitti , N. Poccia , A. Ricci , M. Caputo , A. Bianconi

Statistical properties of the inhomogeneous version of the Olami-Feder-Christensen (OFC) model of earthquakes is investigated by numerical simulations. The spatial inhomogeneity is assumed to be dynamical. Critical features found in the…

Statistical Mechanics · Physics 2015-05-18 Takumi Yamamoto , Hajime Yoshino , Hikaru Kawamura

We analyze 21 aftershock sequences of California to test for evidence of space-time diffusion. Aftershock diffusion may result from stress diffusion and is also predicted by any mechanism of stress weakening. Here, we test an alternative…

Geophysics · Physics 2015-06-26 Agnes Helmstetter , Guy Ouillon , Didier Sornette

The decay rate of aftershocks is commonly very well described by the modified Omori law, $n(t) \propto t^{-p}$, where n(t) is the number of aftershocks per unit time, t is the time after the main shock, and p is a constant in the range…

Statistical Mechanics · Physics 2015-06-24 Y. Moreno , A. Correig , J. B. Gomez , A. F. Pacheco

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

We report on an extensive characterization of the cracking noise produced by charcoal samples when dampened with ethanol. We argue that the evaporation of ethanol causes transient and irregularly distributed internal stresses that promote…

Anomalous diffusion phenomena occur on length scales spanning from intracellular to astrophysical ranges. A specific form of decay at large argument of the probability density function of rescaled displacement (scaling function) is derived…

Statistical Mechanics · Physics 2023-05-23 Attilio L. Stella , Aleksei Chechkin , Gianluca Teza

Earthquake network captures the complexity of seismicity in a peculiar manner. Given a seismic data, the procedure of constructing an earthquake network proposed in [S. Abe, N, Suzuki, Europhys. Lett. 65 (2004) 581] contains as a single…

Geophysics · Physics 2014-07-16 Sumiyoshi Abe , Norikazu Suzuki

Earthquakes are a complex spatiotemporal phenomenon, the underlying mechanism for which is still not fully understood despite decades of research and analysis. We propose and develop a network approach to earthquake events. In this network,…

Geophysics · Physics 2015-05-28 Joel N. Tenenbaum , Shlomo Havlin , H. Eugene Stanley

Disclosure of scaling relationship between observable quantities gives direct information about dynamics of natural phenomenon. This is the main reason why scaling plays a key role in the methodology of natural sciences. In this talk, Part…

General Physics · Physics 2011-06-08 Rudolf Muradyan

I argue that consistent geometrical descriptions of the universe are far from unique even as low-energy limits and that an abstract "atomic" description of spacetime and gauge-theoretic geometry in terms of K-theories of algebraic and…

General Relativity and Quantum Cosmology · Physics 2012-09-07 Abhijnan Rej

We study the expansion of the universe at late times in the case that the cosmological constant obeys certain scaling laws motivated by renormalisation group running in quantum theories. The renormalisation scale is identified with the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Florian Bauer

The theory of SOC, and related avalanche dynamics, is proposed as the origin of the ubiquitous nonexponential relaxation observed in complex systems. Introducing some scaling laws and relations we have obtained that the normalized…

Soft Condensed Matter · Physics 2007-05-23 Alexei Vazquez , Oscar Sotolongo Costa , Carlos Antoranz

This entry in the Encyclopedia of Complexity and Systems Science, Springer present a summary of some of the concepts and calculational tools that have been developed in attempts to apply statistical physics approaches to seismology. We…

Geophysics · Physics 2008-04-22 D. Sornette , M. J. Werner

By analyzing the seismicity in natural time and studying the evolution of the fluctuations of the entropy change of seismicity under time reversal for various scales of different length i (number of events), we can identify the approach of…

Geophysics · Physics 2025-12-30 Panayiotis A. Varotsos , Nicholas V. Sarlis , Toshiyasu Nagao