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What one commonly considers for reproducing the recovery phase of magnetosphere, as seen by the Dst index, is exponential function. However, the magnetosphere recovers faster in the first hours than in the late recovery phase. The early…

Earth and Planetary Astrophysics · Physics 2014-05-21 J. Aguado , C. Cid , E. Saiz , Y. Cerrato

The Kuramoto model describes a system of globally coupled phase-only oscillators with distributed natural frequencies. The model in the steady state exhibits a phase transition as a function of the coupling strength, between a low-coupling…

Chaotic Dynamics · Physics 2013-12-04 Anandamohan Ghosh , Shamik Gupta

Epidemic-Type Aftershock Sequence (ETAS) models are point processes that have found prominence in seismological modeling. Its success has led to the development of a number of different versions of the ETAS model. Among these extensions is…

Applications · Statistics 2022-07-06 Tom Stindl , Feng Chen

The energy-based dual-phase dynamics identification (EDDI) method is a new data-driven technique for the discovery of equations of motion (EOMs) of strongly nonlinear single-degree-of-freedom (SDOF) oscillators. This research uses the EDDI…

Dynamical Systems · Mathematics 2024-12-04 Cristian López , Keegan J. Moore

We propose a simple theory for the ``universal'' scaling law previously reported for the distributions of waiting times between earthquakes. It is based on a largely used benchmark model of seismicity, which just assumes no difference in…

Geophysics · Physics 2009-11-11 A. Saichev , D. Sornette

In many important systems exhibiting crackling noise --- intermittent avalanche-like relaxation response with power-law and, thus, self-similar distributed event sizes --- the "laws" for the rate of activity after large events are not…

Statistical Mechanics · Physics 2016-08-31 Jörn Davidsen , Marco Baiesi

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…

Applications · Statistics 2012-12-18 Aurore Laurendeau , Fabrice Cotton , Luis Fabian Bonilla

We analyzed the correlations among the parameters of the Reasenberg and Jones (1989) formula describing the aftershock rate after a mainshock as a function of time and magnitude, on the basis of parameter estimates made in previous works…

Geophysics · Physics 2007-05-23 Paolo Gasperini , Barbara Lolli

In dynamical systems theory, there is a lack of a straightforward rule to distinguish exact center solutions from decaying center-like solutions, as both require the damping force function to be zero [1, 2]. By adopting a multi-scale…

Dynamical Systems · Mathematics 2025-04-08 Sandip Saha

It had been observed by Linkov, Petrova and Osipov (1992) that there exist periodic 4-6 hours pulses of 200 microHz seismogravitational oscillations ( SGO ) before 95 % of powerful earthquakes. We explain this by beating between an…

Geophysics · Physics 2015-10-13 V. V. Flambaum , B. S. Pavlov

Unlike classical systems, a measurement performed on a quantum system always alters its state. In this work, the impacts of two diagnostic schemes to determine the performance of quantum Otto heat engines are compared: In one scheme, the…

Quantum Physics · Physics 2021-11-16 Jeongrak Son , Peter Talkner , Juzar Thingna

The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. However, there are very few studies for open systems and they are mainly focused on isolating the effects of scrambling from those of decoherence.…

Quantum Physics · Physics 2023-08-09 Pablo D. Bergamasco , Gabriel G. Carlo , Alejandro M. F. Rivas

Conduction electrons in disordered metals and heavily doped semiconductors at low temperatures preserve their phase coherence for a long time: phase relaxation time $\tau_\phi$ can be orders of magnitude longer than the momentum relaxation…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. L. Altshuler , M. E. Gershenson , I. L. Aleiner

Heisenberg's uncertainty principle results in one of the strangest quantum behaviors: an oscillator can never truly be at rest. Even in its lowest energy state, at a temperature of absolute zero, its position and momentum are still subject…

Quantum Physics · Physics 2015-08-26 F. Lecocq , J. D. Teufel , J. Aumentado , R. W. Simmonds

We consider two issues related to the 2011 Tohoku mega-earthquake: (1) what is the repeat time for the largest earthquakes in this area, and (2) what are the possibilities of numerical short-term forecasts during the 2011 earthquake…

Geophysics · Physics 2012-01-10 Yan Y. Kagan , David D. Jackson

Electron-electron interactions play a major role in determining the low-temperature rate of phase loss of electrons in mesoscopic systems. The study of the dephasing rate is expected to contribute to the understanding of the many-body…

Mesoscale and Nanoscale Physics · Physics 2010-08-26 Daria Fleurov , Eli Eisenberg

We introduce a modification of the OFC earthquake model [Phys. Rev. Lett. 68, 1244 (1992)] in order to improve resemblance with the Burridge and Knopoff mechanical model and with possible laboratory experiments. A constant force continually…

Statistical Mechanics · Physics 2009-11-11 O. Ramos , E. Altshuler , K. J. Maloy

This article deals with relaxation approximations of nonlinear systems of hyperbolic balance laws. We introduce a class of relaxation schemes and establish their stability and convergence to the solution of hyperbolic balance laws before…

Analysis of PDEs · Mathematics 2017-09-05 Alexey Miroshnikov , Konstantina Trivisa

Recently A. Gusev suggested and numerically investigated the doubly stochastic earthquake source model. The model is supposed to demonstrate the following features in the far-field body waves: 1) the omega-square high-frequency (HF)…

Geophysics · Physics 2015-06-11 G. Molchan

Temporal evolutions toward thermal equilibria are numerically investigated in a Hamiltonian system with many degrees of freedom which has second order phase transition. Relaxation processes are studied through local order parameter, and…

chao-dyn · Physics 2009-10-28 Yoshiyuki Y. Yamaguchi