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Quantum decoherence can arise due to classical fluctuations in the parameters which define the dynamics of the system. In this case decoherence, and complementary noise, is manifest when data from repeated measurement trials are combined.…

General Relativity and Quantum Cosmology · Physics 2011-09-13 G. J. Milburn

The distribution of seismic moment is of capital interest to evaluate earthquake hazard, in particular regarding the most extreme events. We make use of likelihood-ratio tests to compare the simple Gutenberg-Richter power-law distribution…

Data Analysis, Statistics and Probability · Physics 2015-09-07 Isabel Serra , Álvaro Corral

We propose a new approach for generating synthetic earthquake catalogues based on the physics of soft glasses. The continuum approach produces yield-stress materials based on Lattice-Boltzmann simulations. We show that, if the material is…

Geophysics · Physics 2016-11-03 Roberto Benzi , Federico Toschi , Jeannot Trampert

Statistical similarities between earthquakes and other systems that emit cracking noises have been explored in diverse contexts, ranging from materials science to financial and social systems. Such analogies give promise of a unified and…

Geophysics · Physics 2016-06-27 Leandro S. Costa , Ervin K. Lenzi , Renio S. Mendes , Haroldo V. Ribeiro

The empirical Bath's law states that the average difference in magnitude between a mainshock and its largest aftershock is 1.2, regardless of the mainshock magnitude. Following Vere-Jones [1969] and Console et al. [2003], we show that the…

Geophysics · Physics 2017-08-23 Agnes Helmstetter , Didier Sornette

Prediction in complex systems at criticality is believed to be very difficult, if not impossible. Of particular interest is whether earthquakes, whose distribution follows a power law (Gutenberg-Richter) distribution, are in principle…

Statistical Mechanics · Physics 2020-02-12 Chon-Kit Pun , Sakib Matin , W. Klein , Harvey Gould

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

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 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

We propose a new version of the ETAS model, which we also analyze theoretically. As for the standard ETAS model, we assume the Gutenberg-Richter law as a probability density function for background events' magnitude. Instead, the magnitude…

Probability · Mathematics 2015-04-23 Ilaria Spassiani , Giovanni Sebastiani

We investigate the sequence of great earthquakes over the past century. To examine whether the earthquake record includes temporal clustering, we identify aftershocks and remove those from the record. We focus on the recurrence time,…

Geophysics · Physics 2013-07-22 E. Ben-Naim , E. G. Daub , P. A. Johnson

Certain systems with slow driving and avalanche-like dissipation events are naturally close to a critical point when the ratio of two energy scales is large. The first energy scale is the threshold above which an avalanche is triggered, the…

Statistical Mechanics · Physics 2015-06-25 Barbara Drossel

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

Self-organized criticality elucidates the conditions under which physical and biological systems tune themselves to the edge of a second-order phase transition, with scale invariance. Motivated by the empirical observation of bimodal…

Statistical Mechanics · Physics 2016-06-22 Serena di Santo , Raffaella Burioni , Alessandro Vezzani , Miguel A. Muñoz

We show that the scale dependence of the fluctuations of the natural time itself under time reversal provides a useful tool for the discrimination of seismic electric signals (critical dynamics) from noises emitted from man made sources as…

Statistical Mechanics · Physics 2009-11-13 P. A. Varotsos , N. V. Sarlis , E. S. Skordas , M. S. Lazaridou

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

The upper bound earthquake magnitude (maximum possible magnitude) of a truncated Gutenberg-Richter relation is the right truncation point (right end-point) of a truncated exponential distribution and is important in the probabilistic…

Geophysics · Physics 2018-07-30 Mathias Raschke

We propose a novel method for analyzing precursory seismic data before an earthquake that treats them as a Markov process and distinguishes the background noise from real fluctuations due to an earthquake. A short time (on the order of…

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

Extending the central concept of recurrence times for a point process to recurrent events in space-time allows us to characterize seismicity as a record breaking process using only spatiotemporal relations among events. Linking record…

Geophysics · Physics 2015-06-26 Joern Davidsen , Peter Grassberger , Maya Paczuski