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Scrambling in many-body quantum systems causes initially local observables to spread uniformly over the whole available Hilbert space under unitary dynamics, which in lattice systems causes exponential suppression of dynamical correlation…

Statistical Mechanics · Physics 2022-07-27 Felix Fritzsch , Tomaž Prosen

We perform a new analysis on the dissipative Olami-Feder-Christensen model on a small world topology considering avalanche size differences. We show that when criticality appears the Probability Density Functions (PDFs) for the avalanche…

Statistical Mechanics · Physics 2009-09-29 Filippo Caruso , Alessandro Pluchino , Vito Latora , Sergio Vinciguerra , Andrea Rapisarda

We study the Hamiltonian Mean Field (HMF) model of coupled Hamiltonian rotors with a heterogeneous distribution of moments of inertia and coupling strengths. We show that when the parameters of the rotors are heterogeneous, finite size…

Chaotic Dynamics · Physics 2014-06-10 Juan G. Restrepo , James D. Meiss

Failure of amorphous solids is fundamental to various phenomena, including landslides and earthquakes. Recent experiments indicate that highly plastic regions form elongated structures that are especially apparent near the maximal shear…

Soft Condensed Matter · Physics 2016-01-20 Jie Lin , Thomas Gueudré , Alberto Rosso , Matthieu Wyart

The phase transitions and critical properties of two types of inhomogeneous systems are reviewed. In one case, the local critical behaviour results from the particular shape of the system. Here scale-invariant forms like wedges or cones are…

Statistical Mechanics · Physics 2009-10-22 F. Iglói , I. Peschel , L. Turban

A landfill represents a complex and dynamically evolving structure that can be stochastically perturbed by exogenous factors. Both thermodynamic (equilibrium) and time varying (non-steady state) properties of a landfill are affected by…

Adaptation and Self-Organizing Systems · Physics 2016-06-06 Amit Kumar Chattopadhyay , Prasanta Kumar Dey , Sadhan Kumar Ghosh

Forecasts of the focal mechanisms of future earthquakes are important for seismic hazard estimates and Coulomb stress and other models of earthquake occurrence. Here we report on a high-resolution global forecast of earthquake rate density…

Geophysics · Physics 2015-06-17 Yan Y. Kagan , David D. Jackson

We show that the concept of umklapp-scattering driven instabilities in one-dimensional systems can be generalized to arbitrary multiple umklapp-scattering processes at commensurate fillings given that the system has sufficiently longer…

Strongly Correlated Electrons · Physics 2009-11-10 Peter Schmitteckert , Ralph Werner

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…

Geophysics · Physics 2009-10-28 M. J. Werner , A. Helmstetter , D. D. Jackson , Y. Y. Kagan

We study the relation between short-time vibrational modes and long-time relaxational dynamics in a kinetically constrained lattice gas with harmonic interactions between neighbouring particles. We find a correlation between the location of…

Statistical Mechanics · Physics 2014-03-14 Douglas J. Ashton , Juan P. Garrahan

In this paper a composite model for earthquake rupture initiation and propagation is proposed. The model includes aspects of damage mechanics, fiber-bundle models, and slider-block models. An array of elements is introduced in analogy to…

Geophysics · Physics 2010-07-14 G. Yakovlev , J. D. Gran , D. L. Turcotte , J. B. Rundle , W. Klein

The production process of integrated electronic circuitry inherently leads to large heterogeneities on the component level. For electronic clock networks this implies detuned intrinsic frequencies and differences in coupling strength and…

Adaptation and Self-Organizing Systems · Physics 2019-09-04 Nirmal Punetha , Lucas Wetzel

The proposed homogeneous flat-faced layer-like model of a city (termed overlayer), covering what is generally considered to be a dangerous site (from the point of view of seismic hazard) lends itself to an explicit theoretical analysis of…

Geophysics · Physics 2018-02-16 Armand Wirgin

We analyze the space-time patterns of earthquake occurrence in southern California using a new method that treats earthquakes as a phase dynamical system. The system state vector is used to obtain a probability measure for current and…

Statistical Mechanics · Physics 2007-05-23 Kristy F. Tiampo , John B. Rundle , Seth McGinnis , Susanna Gross , William Klein

How do landscape fragmentation affects ecosystems diversity and stability is an important and complex question in ecology with no simple answer, as spatially separated habitats where species live are highly dynamic rather than just static.…

Chaotic Dynamics · Physics 2016-08-17 Ramesh Arumugam , Partha Sharathi Dutta , Tanmoy Banerjee

Two classes of non-linear elastic materials are derived via two-dimensional homogenization. These materials are equivalent to a periodic grid of axially-deformable and axially-preloaded structural elements, subject to incremental…

Classical Physics · Physics 2025-03-25 Davide Bigoni , Andrea Piccolroaz

Earthquakes are a complex spatiotemporal phenomenon, the underlying mechanism for which is still not fully understood despite decades of research and analysis. We propose and develop a network approach to earthquake events. In this network,…

Geophysics · Physics 2015-05-28 Joel N. Tenenbaum , Shlomo Havlin , H. Eugene Stanley

The cellular automaton model of Piegari, Di Maio, Scandone and Milano, J. Volc. Geoth. Res., 202, 22-28 (2011) is extended to include magma-induced stress (i.e. a local magma-related augmentation of the stress field). This constitutes a…

Geophysics · Physics 2017-08-23 Olivia J. Butters , Graeme R. Sarson , Paul J. Bushby

Without a model, it is impossible for a geophysicist to study the possibility of forecasting earth quakes. We will define a quantity, the event-degree, in the paper. This quantity plays an important role in the model of quakes forecasting.…

Geophysics · Physics 2008-07-16 Yeong-Shyeong Tsai

The Burridge-Knopoff model of earthquakes has recently gained increased interest for the consistency of the predicted energy released by sismic faults, with the Gutenberg-Richter scaling law. The present work suggests an improvement of this…

Pattern Formation and Solitons · Physics 2007-05-23 Alain M. Dikandé