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I study a recently proposed statistical model of earthquake dynamics that incorporates aging as a fundamental ingredient. The model is known to generate earthquake sequences that quantitatively reproduce the spatial and temporal clustering…

Statistical Mechanics · Physics 2015-05-19 E. A. Jagla

Catastrophes of all kinds can be roughly defined as short duration-large amplitude events following and followed by long periods of "ripening". Major earthquakes surely belong to the class of 'catastrophic' events. Because of the space-time…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Randall D. Peters , Martine Le Berre , Yves Pomeau

We relate the phase separation observed in many crystals with pronounced electron correlations to the regions of negative electron compressibility. They were found in several models describing strong electron correlations. At low…

Strongly Correlated Electrons · Physics 2022-10-25 Alexei Sherman

Problems with artificial neural networks originate from their deterministic nature and inevitable prior learnings, resulting in inadequate adaptability against unpredictable, abrupt environmental change. Here we show that a stochastically…

Disordered Systems and Neural Networks · Physics 2009-11-13 Naoki Asakawa , Yasushi Hotta , Teruo Kanki , Hitoshi Tabata , Tomoji Kawai

A non-autonomous flow system is introduced with an attractor of Plykin type that may serve as a base for elaboration of real systems and devices demonstrating the structurally stable chaotic dynamics. The starting point is a map on a…

Chaotic Dynamics · Physics 2009-11-13 Sergey P. Kuznetsov

Identifying quantum phase transitions poses a significant challenge in condensed matter physics, as this requires methods that both provide accurate results and scale well with system size. In this work, we demonstrate how relaxation…

Strongly Correlated Electrons · Physics 2026-02-11 David Jansen , Donato Farina , Luke Mortimer , Timothy Heightman , Andreas Leitherer , Pere Mujal , Jie Wang , Antonio Acín

Earthquakes are indeed triggered by fault dislocations, but whether this process alone can produce the actual earthquake energy released by the mainshock has long been questioned. Therefore, exploring the true source of energy that causes…

Geophysics · Physics 2022-02-24 Xiaoping Mao , Xueqiang Zhang , Yuci Su , Ke Mao , Pengyu Lu , Fei Zhang

The stochastic gravitational wave (GW) background provides a fascinating window to the physics of the very early universe. Beyond the nearly scale-invariant primordial GW spectrum produced during inflation, a spectrum with a much richer…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-04 Stefan Antusch , Francesco Cefala , Stefano Orani

We consider the dynamics of small perturbations of stable two-frequency quasiperiodic orbits on an attracting torus in the quasiperiodically forced Henon map. Such dynamics consists in an exponential decay of the radial component and in a…

Chaotic Dynamics · Physics 2007-05-23 Alexey Yu. Jalnine , Sergey P. Kuznetsov , Andrew H. Osbaldestin

Experimental measurements of physical systems often have a limited number of independent channels, causing essential dynamical variables to remain unobserved. However, many popular methods for unsupervised inference of latent dynamics from…

Machine Learning · Computer Science 2020-10-23 William Gilpin

``Remote triggering" refers to the inducement of earthquakes by weak perturbations that emanate from far away sources, typically intense earthquakes that happen at much larger distances than their nearby aftershocks, sometimes even around…

Geophysics · Physics 2021-10-13 Harish Charan , Anna Pomyalov , Itamar Procaccia

The analysis of how a stochastic background of gravitational radiation interacts with a spherical detector is given in detail, which leads to explicit expressions for the system response functions, as well as for the cross-correlation…

General Relativity and Quantum Cosmology · Physics 2022-05-04 J. Alberto Lobo , Alvaro Montero

We construct the simplest chaotic system with a two-point attractor.

Dynamical Systems · Mathematics 2007-05-23 Boris Kruglikov , Martin Rypdal

The method of passive imaging in seismology has been developped recently in order to image the earth crust from recordings of the seismic noise. This method is founded on the computation of correlations of the seismic noise. In this paper,…

Mathematical Physics · Physics 2017-08-23 Yves Colin De Verdière

Two-dimensional system of the fermions with the indirect Einstein phonon-exchange attraction and added local four-fermion interaction is considered. It is shown that in such a system at resulting attraction between particles a new…

Superconductivity · Physics 2009-10-30 V. M. Loktev , V. M. Turkowski

Using the phase-space formulation of quantum mechanics, we derive a four-component Wigner equation for a system composed of spin-1/2 fermions (typically, electrons) including the Zeeman effect and the spin-orbit coupling. This Wigner…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Jerome Hurst , Paul-Antoine Hervieux , Giovanni Manfredi

Dislocations are one-dimensional (1D) topological line defects where the lattice deviates from the perfect crystal structure. The presence of dislocations transcends condensed matter research and gives rise to a diverse range of emergent…

A system of two interacting, physically real, initially homogeneous fields is considered as the simplest basis for the world construction in which one of them, a 'protofield' of electromagnetic nature, is attracted to another protofield, or…

Quantum Physics · Physics 2007-05-23 Andrei P. Kirilyuk

Phase diagram of microcanonical ensembles of self-attracting particles is studied for two types of short-range potential regularizations: self-gravitating fermions and classical particles interacting via attractive soft…

Statistical Mechanics · Physics 2009-11-07 P. H. Chavanis , I. Ispolatov

In diverse physical systems stable oscillatory solutions devolve into more complicated dynamical behaviour through border-collision bifurcations. Mathematically these occur when a stable fixed point of a piecewise-smooth map collides with a…

Dynamical Systems · Mathematics 2022-07-22 David J. W. Simpson