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A unified approach is proposed to describe the statistics of the short time dynamics of multiscale complex systems. The probability density function of the relevant time series (signal) is represented as a statistical superposition of a…

Statistical Mechanics · Physics 2019-05-06 A. M. S. Macedo , I. R. R. Gonzales , D. S. P. Salazar , G. L. Vasconcelos

Plastic events in sheared glasses are considered an example of so-called avalanches, whose sizes obey a power-law probability distribution with the avalanche critical exponent $\tau$. Although mean-field theory predicts a universal value of…

Soft Condensed Matter · Physics 2021-07-21 Norihiro Oyama , Hideyuki Mizuno , Atsushi Ikeda

Neural avalanches are collective firings of neurons that exhibit emergent scale-free behavior. Understanding the nature and distribution of these avalanches is an important element in understanding how the brain functions. We study a model…

Biological Physics · Physics 2021-02-10 Sakib Matin , Thomas Tenzin , W. Klein

Close to the yielding transition, amorphous solids exhibit a jerky dynamics characterized by plastic avalanches. The statistics of these avalanches have been measured experimentally and numerically using a variety of different triggering…

Soft Condensed Matter · Physics 2026-01-08 Tristan Jocteur , Eric Bertin , Romain Mari , Kirsten Martens

Ferroelectric domain wall motion is fundamental to the switching properties of ferroelectric devices and is influenced by a wide range of factors including spatial disorder within the material and thermal noise. We build a…

Materials Science · Physics 2022-08-08 Nora Bauer , Sabine M. Neumayer , Petro Maksymovych , Maxim O. Lavrentovich

Measurements of the ac magnetic susceptibility of perpendicularly magnetized Fe/2ML Ni/W(110) ultrathin films show a clear signature of the dynamics of domain growth and domain density changes in the striped domain pattern that this system…

Materials Science · Physics 2015-05-18 N. Abu-Libdeh D. Venus

An analysis of moments and spectra shows that, while the distribution of avalanche areas obeys finite size scaling, that of toppling numbers is universally characterized by a full, nonlinear multifractal spectrum. Rare, large avalanches…

Statistical Mechanics · Physics 2009-10-31 Claudio Tebaldi , Mario De Menech , Attilio L. Stella

Avalanches in mean-field models can be mapped to memoryless branching processes defining a universality class. We present a reduced expression mapping a broad family of critical and subcriticial avalanches in mean-field models at the…

Disordered Systems and Neural Networks · Physics 2025-02-27 Jordi Baró , Álvaro Corral

We report on an experimental observation of classical diffusion distinguishing between structural universality classes of disordered systems in one dimension. Samples of hyperuniform and short-range disorder were designed, characterized by…

Mesoscale and Nanoscale Physics · Physics 2017-12-05 Antonios Papaioannou , Dmitry S. Novikov , Els Fieremans , Gregory S. Boutis

The way granular materials response to an applied shear stress is of the utmost relevance to both human activities and natural environment. One of the their most intriguing and less understood behavior, is the stick-instability, whose most…

Soft Condensed Matter · Physics 2018-11-07 Andrea Baldassarri , Mario A. Annunziata , Andrea Gnoli , Giorgio Pontuale , Alberto Petri

Two laboratory scale experiments of dry and under-water avalanches of non-cohesive granular materials are investigated. We trigger solitary waves and study the conditions under which the front is transversally stable. We show the existence…

Soft Condensed Matter · Physics 2009-11-11 F. Malloggi , J. Lanuza , B. Andreotti , E. Clément

We discuss basic features of emergent complexity in dynamical systems far from equilibrium by focusing on the network structure of their state space. We start by measuring the distributions of avalanche and transient times in Random Boolean…

Biological Physics · Physics 2009-11-13 Andrew Berdahl , Amer Shreim , Vishal Sood , Joern Davidsen , Maya Paczuski

Using the method developed in a recent paper (Euro. Phys. J. B 92.8 (2019): 1-28) we consider $1/f$ noise in two-dimensional electron gas (2DEG). The electron coherence length of the system is considered as a basic parameter for…

Mesoscale and Nanoscale Physics · Physics 2021-12-15 M. N. Najafi , S. Tizdast , Z. Moghaddam , M. Samadpour

Plastic events in amorphous solids can be much more than just "shear transformation zones" when the positional degrees of freedom are coupled non-trivially to other degrees of freedom. Here we consider magnetic amorphous solids where…

Soft Condensed Matter · Physics 2016-03-23 H. George E. Hentschel , Itamar Procaccia , Bhaskar Sen Gupta

Avalanches of electrochemical activity in brain networks have been empirically reported to obey scale-invariant behavior --characterized by power-law distributions up to some upper cut-off-- both in vitro and in vivo. Elucidating whether…

Neurons and Cognition · Quantitative Biology 2018-01-03 Matteo Martinello , Jorge Hidalgo , Serena di Santo , Amos Maritan , Dietmar Plenz , Miguel A. Muñoz

We study the average shape of a fluctuation of a time series x(t), that is the average value <x(t)-x(0)>_T before x(t) first returns, at time T, to its initial value x(0). For large classes of stochastic processes we find that a scaling law…

Statistical Mechanics · Physics 2009-11-10 Andrea Baldassarri , Francesca Colaiori , Claudio Castellano

Motivated by the phenomenologies of dynamic roughening of strings in random media and magnetohydrodynamics, we examine the universal properties of driven diffusive system with coupled fields. We demonstrate that cross-correlations between…

Statistical Mechanics · Physics 2007-05-23 A. Basu , E. Frey

In this work we analyze the stochastic dynamics of the Kauffman model evolving under the influence of noise. By considering the average crossing time between two distinct trajectories, we show that different Kauffman models exhibit a…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 X. Qu , M. Aldana , Leo P. Kadanoff

A damped chain of particles with harmonic nearest-neighbor interactions in a spatially periodic, piecewise harmonic potential (Frenkel-Kontorova model) is studied numerically. One end of the chain is pulled slowly which acts as a weak…

chao-dyn · Physics 2009-10-22 Franz-Josef Elmer

An accurate understanding of the interplay between random and deterministic processes in generating extreme events is of critical importance in many fields, from forecasting extreme meteorological events to the catastrophic failure of…

Disordered Systems and Neural Networks · Physics 2016-04-07 Gergo Pal , Frank Raischel , Sabine Lennartz-Sassinek , Ferenc Kun , Ian G. Main
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