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Critical states are sometimes identified experimentally through power-law statistics or universal scaling functions. We show here that such features naturally emerge from networks in self-sustained irregular regimes away from criticality.…

Neurons and Cognition · Quantitative Biology 2017-02-08 Jonathan Touboul , Alain Destexhe

To describe the small-scale intermittency of turbulence, a self-similarity is assumed for the probability density function of a logarithm of the rate of energy dissipation smoothed over a length scale among those in the inertial range. The…

Fluid Dynamics · Physics 2015-03-30 H. Mouri

A new modelling approach shows how the Earth's hidden vibrations may drive global weather dynamics and atmospheric pressure variations, hinting that the planet's own beat could be imprinted on our climate. The atmospheric rotational…

Atmospheric and Oceanic Physics · Physics 2026-01-01 Alessio Kandiah , Alexander B. Movchan , Vladimir Frid

General thermodynamic theory of metastable states is used in this short note to try to understand better atmospheric instabilities. It is shown that not only cooling of a cloud can lead to rain, but heating also, especially when there are…

Atmospheric and Oceanic Physics · Physics 2012-04-06 Yuri Kornyushin

We demonstrate that hyperuniformity, the suppression of density fluctuations at large length scales, emerges generically from the interplay between conservation laws and non-equilibrium driving. The underlying mechanism for this emergence…

Statistical Mechanics · Physics 2025-12-09 Raphaël Maire , Ludivine Chaix

Active glasses refer to a class of driven non-equilibrium systems that share remarkably similar dynamical behavior as conventional glass-formers in equilibrium. Glass-like dynamical characteristics have been observed in various biological…

Soft Condensed Matter · Physics 2024-12-24 Subhodeep Dey , Smarajit Karmakar

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

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

Resilience is a rehashed concept in natural hazard management - resilience of cities to earthquakes, to floods, to fire, etc. In a word, a system is said to be resilient if there exists a strategy that can drive the system state back to…

Optimization and Control · Mathematics 2018-02-05 Michel De Lara

Avalanches, or Avalanche-like, events are often observed in the dynamical behaviour of many complex systems which span from solar flaring to the Earth's crust dynamics and from traffic flows to financial markets. Self-organized criticality…

Data Analysis, Statistics and Probability · Physics 2009-11-13 M. Bartolozzi

Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation…

The distribution of inter-occurrence time between seismic events is a quantity of great interest in seismic risk assessment. We evaluate this distribution for different models of earthquakes occurrence and follow two distinct approaches:…

Geophysics · Physics 2007-05-23 C. Godano , L. de Arcangelis

Dow Jones Index time series exhibit irregular or fractal fluctuations on all time scales from days, months to years. The nonlinear fluctuations are selfsimilar as exhibited in inverse power law form for power spectra of temporal…

General Physics · Physics 2007-05-23 A. M. Selvam

Characterizing current fluctuations in a steady state is of fundamental interest and has attracted considerable attention in the recent past. However, the bulk of the studies are limited to systems that either do not exhibit a phase…

Statistical Mechanics · Physics 2024-12-05 Tanmoy Chakraborty , Punyabrata Pradhan , Kavita Jain

The statistical properties of avalanches in a dissipative particulate system under slow shear are investigated using molecular dynamics simulations. It is found that the magnitude-frequency distribution obeys the Gutenberg-Richter law only…

Statistical Mechanics · Physics 2015-07-31 Takahiro Hatano , Clément Narteau , Peter Shebalin

We introduce a Self-affine Asperity Model (SAM) for the seismicity that mimics the fault friction by means of two fractional Brownian profiles (fBm) that slide one over the other. An earthquake occurs when there is an overlap of the two…

Condensed Matter · Physics 2009-10-28 R. Hallgass , V. Loreto , O. Mazzella , G. Paladin , L. Pietronero

The collective behaviour of statistical systems close to critical points is characterized by an extremely slow dynamics which, in the thermodynamic limit, eventually prevents them from relaxing to an equilibrium state after a change in the…

Statistical Mechanics · Physics 2009-07-13 Andrea Gambassi

As is well known, structure formation in the Universe at times after decoupling can be described by hydrodynamic equations. These are shown here to be equivalent to a generalization of the stochastic Kardar--Parisi--Zhang equation with…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. F. Barbero G. , A. Dominguez , T. Goldman , J. Perez-Mercader

The yielding transition in amorphous materials, whether driven passively (simple shear) or actively, remains a fundamental open question in soft matter physics. While avalanche statistics at the critical point have been extensively studied,…

Soft Condensed Matter · Physics 2025-12-12 Leonardo Relmucao-Leiva , Carlos Villarroel , Gustavo Düring

Recently (arXiv:0910.2870), we have derived a fluctuation theorem for systems in thermodynamic equilibrium compatible with anomalous response functions, e.g. the existence of states with \textit{negative heat capacities} $C<0$. In this…

Statistical Mechanics · Physics 2013-07-31 L. Velazquez , S. Curilef