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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

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

If we assume that earthquakes are chaotic, and influenced locally then chaos theory suggests that there should be a temporal association between earthquakes in a local region that should be revealed with statistical examination. To date no…

Applications · Statistics 2019-02-14 Parsa Rastin , Michael LuValle

We present results from a physical experiment which demonstrates that a sheared granular medium behaves in a manner analogous to earthquake activity. The device consists of an annular plate rotating over a granular medium in a stick-slip…

Geophysics · Physics 2007-05-23 Fergal Dalton , David Corcoran

Discovery of a new law for three dimensional spatial distance between the foci of successive earthquakes is reported. Analyzing the seismic data taken between 1984 and 2001 in southern California, it is found that the cumulative…

Disordered Systems and Neural Networks · Physics 2015-06-24 Sumiyoshi Abe , Norikazu Suzuki

We introduce here the two-fractal model of earthquake dynamics. As the fractured surfaces have self-affine properties, we consider the solid-solid interface of the earth's crust and the tectonic plate below as fractal surfaces. The overlap…

Statistical Mechanics · Physics 2007-05-23 Bikas K Chakrabarti , Arnab Chatterjee

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 have numerically investigated statistical properties of the so-called interoccurrence time or the waiting time, i.e., the time interval between successive earthquakes, based on the two-dimensional (2-D) spring-block (Burridge-Knopoff)…

Statistical Mechanics · Physics 2007-08-30 Tomohiro Hasumi

Volcanic seismicity at Mt. Etna is studied. It is found that the associated stochastic process exhibits a subdiffusive phenomenon. The jump probability distribution well obeys an exponential law, whereas the waiting-time distribution…

Geophysics · Physics 2015-06-17 Sumiyoshi Abe , Norikazu Suzuki

By using the maximum entropy principle with Tsallis entropy and under the assumption that the gouge plays an active role in the triggering of earthquakes, we obtain a functional dependence for energy distribution function for earthquakes…

Geophysics · Physics 2007-05-23 Oscar Sotolongo-Costa , A. Posadas

Speech is a distinctive complex feature of human capabilities. In order to understand the physics underlying speech production, in this work we empirically analyse the statistics of large human speech datasets ranging several languages. We…

Physics and Society · Physics 2014-08-06 Jordi Luque , Bartolo Luque , Lucas Lacasa

The district of southern California and Japan are divided into small cubic cells, each of which is regarded as a vertex of a graph if earthquakes occur therein. Two successive earthquakes define an edge and a loop, which replace the complex…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sumiyoshi Abe , Norikazu Suzuki

Sequences of aftershocks following Omori's empirical law are observed after most major earthquakes, as well as in laboratory-scale fault-mimicking experiments. Nevertheless, the origin of this memory effect is still unclear. In this letter,…

Geophysics · Physics 2024-03-28 A. Mathey , J. Crassous , D. Marsan , J. Weiss , A. Amon

The size or energy of diverse structures or phenomena in geoscience appears to follow power-law distributions. A rigorous statistical analysis of such observations is tricky, though. Observables can span several orders of magnitude, but the…

Geophysics · Physics 2019-04-29 Álvaro Corral , Álvaro González

Spatiotemporal clustering of earthquake events is a generally-established fact, and is important for designing models and assessment techniques in seismicity. Here, we investigate how this behavior can manifest in the statistical…

Geophysics · Physics 2013-07-08 Rene C. Batac , Holger Kantz

The microscopic basis of Newton's law of cooling and its modification when the difference in temperature between the system and the surroundings is very large is discussed. When the system of interest is interacting with a small bath, the…

Quantum Physics · Physics 2008-01-29 Mihir Ranjan Nath , Surajit Sen , Gautam Gangopadhyay

We introduce a shear experiment that quantitatively reproduces the main laws of seismicity. By continuously and slowly shearing a compressed monolayer of disks in a ring-like geometry, our system delivers events of frictional failures with…

Geophysics · Physics 2019-06-05 S. Lherminier , R. Planet , V. Levy dit Vehel , G. Simon , L. Vanel , K. J. Måløy , O. Ramos

Time-asymmetric behavior as embodied in the second law of thermodynamics is observed in {\it individual macroscopic} systems. It can be understood as arising naturally from time-symmetric microscopic laws when account is taken of a) the…

Statistical Mechanics · Physics 2007-09-06 Joel L. Lebowitz

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

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