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The concept of proper time, which is different from universal time, has been introduced into the physics of earthquakes. The global activity of strong earthquakes was chosen as the object of study. We consider the sequence of earthquakes as…

地球物理 · 物理学 2022-07-25 A. V. Guglielmi , O. D. Zotov

Critical transitions are observed in many complex systems. This includes the onset of synchronization in a network of coupled oscillators or the emergence an epidemic state within a population. "Explosive" first-order transitions have…

适应与自组织系统 · 物理学 2021-04-27 Christian Kuehn , Christian Bick

The microscopic model in which nodes interacting with each other are statistical systems is introduced. The nodes conditions are connected with a string of distinct microscopic configurations and depend on external parameters (pressure and…

统计力学 · 物理学 2007-05-23 V. Stepanov

This paper considers the problem of testing if a sequence of means $(\mu_t)_{t =1,\ldots ,n }$ of a non-stationary time series $(X_t)_{t =1,\ldots ,n }$ is stable in the sense that the difference of the means $\mu_1$ and $\mu_t$ between the…

统计方法学 · 统计学 2019-01-08 Holger Dette , Weichi Wu

We find the static displacement, stress, strain and the modified Columb failure stress produced in an elastic medium by a finite size rectangular fault after its dislocation with uniform stress drop but a non uniform dislocation on the…

地球物理 · 物理学 2007-05-23 R. Console , F. Catalli

Simple models for ruptures along a heterogeneous earthquake fault zone are studied, focussing on the interplay between the roles of disorder and dynamical effects. A class of models are found to operate naturally at a critical point whose…

无序系统与神经网络 · 物理学 2009-10-30 Daniel S. Fisher , Karin Dahmen , Sharad Ramanathan , Yehuda Ben-Zion

A likely source of earthquake clustering is static stress transfer between individual events. Previous attempts to quantify the role of static stress for earthquake triggering generally considered only the stress changes caused by large…

地球物理 · 物理学 2017-06-28 Shyam Nandan , Guy Ouillon , Jochen Woessner , Didier Sornette , Stefan Wiemer

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

We study the response of a highly-excited time dependent quantum many-body state to a sudden local perturbation, a sort of orthogonality catastrophe problem in a transient non-equilibrium environment. To this extent we consider, as key…

强关联电子 · 物理学 2014-07-23 Marco Schiró , Aditi Mitra

Stochastic resetting generates nonequilibrium steady states by interspersing unitary quantum dynamics with resets at random times. When the state to which the system is reset is chosen conditionally on the outcome of a global and spatially…

统计力学 · 物理学 2025-10-14 David Soldner , Igor Lesanovsky , Gabriele Perfetto

In general terms, intermittency is the property for which time evolving systems alternate among two or more different regimes. Predicting the instance when the regime switch will occur is extremely challenging, often practically impossible.…

In many real world chaotic systems, the interest is typically in determining when the system will behave in an extreme manner. Flooding and drought, extreme heatwaves, large earthquakes, and large drops in the stock market are examples of…

应用统计 · 统计学 2019-08-19 Michael LuValle

We study a non-reciprocal version of Model B, as the continuum theory for non-reciprocal particle mixtures. In contrast to non-reciprocal Cahn-Hilliard models, it is important in this context to consider the dependence of mobility…

软凝聚态物质 · 物理学 2025-08-06 Bibhut Sahoo , Rituparno Mandal , Peter Sollich

Natural earthquake fault systems are highly non-homogeneous. The inhomogeneities occur be- cause the earth is made of a variety of materials which hold and dissipate stress differently. In this work, we study scaling in earthquake fault…

地球物理 · 物理学 2015-03-17 Rachele Dominguez , Kristy Tiampo , C. A. Serino , W. Klein

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…

应用统计 · 统计学 2012-12-18 Aurore Laurendeau , Fabrice Cotton , Luis Fabian Bonilla

Here we focus on a basic statistical measure of earthquake catalogs that has not been studied before, the asymmetry of interevent time series (e.g., reflecting the tendency to have more aftershocks than spontaneous earthquakes). We define…

地球物理 · 物理学 2021-10-04 Yongwen Zhang , Yosef Ashkenazy , Shlomo Havlin

How do decisions change with the economic environment and with time? This paper studies general nonstationary stopping problems and provides the methodological tools to answer these questions. First, we identify conditions that ensure a…

理论经济学 · 经济学 2024-08-01 Théo Durandard , Matteo Camboni

In this paper we examine the stability of scalar perturbations in nonsingular models which emerge from an interacting vacuum component. The analysis developed in this paper relies on two phenomenological choices for the energy exchange…

广义相对论与量子宇宙学 · 物理学 2024-05-24 Filipe Cattete Alves , Rodrigo Maier

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…

地球物理 · 物理学 2013-07-08 Rene C. Batac , Holger Kantz

Some models allowing explicit calculation of periodic instantons and evaluation of their action are studied with regard to transitions from classical to quantum behaviour as the temperature is lowered and tunneling sets in. It is shown that…

凝聚态物理 · 物理学 2009-10-31 J. -Q. Liang , H. J. W. Mueller-Kirsten , D. K. Park , F. Zimmerschied