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Rank-ordering statistics provides a perspective on the rare, largest elements of a population, whereas the statistics of cumulative distributions are dominated by the more numerous small events. The exponent of a power law distribution can…

凝聚态物理 · 物理学 2015-06-25 Didier Sornette , Leon Knopoff , Yan Kagan , Christian Vanneste

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,…

地球物理 · 物理学 2013-07-22 E. Ben-Naim , E. G. Daub , P. A. Johnson

Around 90% of the earthquakes in the world occur at the circum-Pacific belt referred to as the Pacific Ring of Fire exposing the countries in this region to high risk of earthquake hazards. We model fluctuations of the different seismic…

In this paper, we study the dynamics of a random walker diffusing on a disordered one-dimensional lattice with random trappings. The distribution of escape probabilities is computed exactly for any strength of the disorder. These…

统计力学 · 物理学 2016-08-31 Clement Sire

Trapped particles bursts have long been observed to be frequently occurred several hours before earthquakes, especially for strong earthquakes, from several space experiments during past decades. However, the validity of earthquake origin…

There is mounting empirical evidence that many communities of living organisms display key features which closely resemble those of physical systems at criticality. We here introduce a minimal model framework for the dynamics of a community…

生物物理 · 物理学 2020-02-17 Fabio Peruzzo , Mauro Mobilia , Sandro Azaele

By analyzing trajectories of solid hydrogen tracers in superfluid $^4$He, we identify tens of thousands of individual reconnection events between quantized vortices. We characterize the dynamics by the minimum separation distance…

统计力学 · 物理学 2015-05-13 M. S. Paoletti , Michael E. Fisher , D. P. Lathrop

We present two models for estimating the probabilities of future earthquakes in California, to be tested in the Collaboratory for the Study of Earthquake Predictability (CSEP). The first, time-independent model, modified from Helmstetter et…

地球物理 · 物理学 2009-10-28 M. J. Werner , A. Helmstetter , D. D. Jackson , Y. Y. Kagan

This paper is an attempt for arguing the possibility for short time when, where and how Earthquakes prediction. The local when Earthquake prediction is based on the connection between geomagnetic quakes and the next incoming minimum or…

地球物理 · 物理学 2007-05-23 S. Cht. Mavrodiev

It has been shown [Phys. Rev. E 84, 022101 (2011); Chaos 22, 023123 (2012)] that earthquakes of magnitude $M$ greater or equal to 7 are globally correlated. Such correlations were identified by studying the variance $\kappa_1$ of natural…

地球物理 · 物理学 2017-04-21 N. V. Sarlis , S. -R. G. Christopoulos , E. S. Skordas

Major disasters such as extreme weather events can magnify and exacerbate pre-existing social disparities, with disadvantaged populations bearing disproportionate costs. Despite the implications for equity and emergency planning, we lack a…

Ruptures of the largest earthquakes can last between a few seconds and several minutes. An early assessment of the final earthquake size is essential for early warning systems. However, it is still unclear when in the rupture history this…

地球物理 · 物理学 2022-07-08 Jannes Münchmeyer , Ulf Leser , Frederik Tilmann

The statistics of earthquakes in a heterogeneous fault zone is studied analytically and numerically in the mean field version of a model for a segmented fault system in a three-dimensional elastic solid. The studies focus on the interplay…

无序系统与神经网络 · 物理学 2009-10-31 Karin Dahmen , Deniz Ertas , Yehuda Ben-Zion

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…

无序系统与神经网络 · 物理学 2015-06-24 Sumiyoshi Abe , Norikazu Suzuki

We develop a dissipation-based framework for earthquake rupture on homogeneous faults that explicitly separates the onset of unstable slip from the conditions required for self-sustained rupture propagation. This distinction explains the…

地球物理 · 物理学 2026-02-02 Didier Sornette , Xueting Wei , Xiaofei Chen

Earthquake monitoring across the globe is currently achieved with networks of seismic stations. The data from these networks have been instrumental in advancing our understanding of the Earth's interior structure and dynamic behaviour.…

It was conjectured for a long time that the tectonic plates are in a self-organized state of criticality and that the Gutenberg-Richter law is a manifestation of that. It was recently shown that for a system near criticality, the inequality…

地球物理 · 物理学 2026-02-12 Sudip Sarkar , Soumyajyoti Biswas

We consider a random walk of $n$ steps starting at $x_0=0$ with a double exponential (Laplace) jump distribution. We compute exactly the distribution $p_{k,n}(\Delta)$ of the gap $d_{k,n}$ between the $k^{\rm th}$ and $(k+1)^{\rm th}$…

统计力学 · 物理学 2019-09-09 Bertrand Lacroix-A-Chez-Toine , Satya N. Majumdar , Grégory Schehr

Many catastrophic events, including landslides, rockbursts, glacier breakoffs, and volcanic eruptions, are preceded by an observable acceleration phase that offers a critical window for early warning and hazard mitigation; however, the…

地球物理 · 物理学 2026-03-10 Qinghua Lei , Didier Sornette

Stationary probability distributions of one-dimensional random walks on lattices with aperiodic disorder are investigated. The pattern of the distribution is closely related to the diffusional behavior, which depends on the wandering…

统计力学 · 物理学 2015-06-19 Hiroshi Miki